Takebayashi, Tadayoshi Defining relations of the elliptic Lie algebra of type \(A_{1}^{(1,1)}\). (English) Zbl 1106.17031 J. Algebra 278, No. 1, 134-147 (2004). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 PDFBibTeX XMLCite \textit{T. Takebayashi}, J. Algebra 278, No. 1, 134--147 (2004; Zbl 1106.17031) Full Text: DOI
Eswara Rao, S. Classification of irreducible integrable modules for toroidal Lie algebras with finite dimensional weight spaces. (English) Zbl 1106.17001 J. Algebra 277, No. 1, 318-348 (2004). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B67 PDFBibTeX XMLCite \textit{S. Eswara Rao}, J. Algebra 277, No. 1, 318--348 (2004; Zbl 1106.17001) Full Text: DOI arXiv
Scheithauer, Nils R. Generalized Kac–Moody algebras, automorphic forms and Conway’s group. I. (English) Zbl 1052.17012 Adv. Math. 183, No. 2, 240-270 (2004). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 11F22 20D08 11F70 PDFBibTeX XMLCite \textit{N. R. Scheithauer}, Adv. Math. 183, No. 2, 240--270 (2004; Zbl 1052.17012) Full Text: DOI
Jurisich, Elizabeth An equivalence between categories of modules for generalized Kac-Moody Lie algebras. (English) Zbl 1066.17013 J. Lie Theory 14, No. 1, 141-150 (2004). Reviewer: Duncan J. Melville (Canton) MSC: 17B65 17B67 17B10 PDFBibTeX XMLCite \textit{E. Jurisich}, J. Lie Theory 14, No. 1, 141--150 (2004; Zbl 1066.17013) Full Text: EuDML EMIS
Sthanumoorthy, N.; Lilly, P. L.; Uma Maheswari, A. Root multiplicities of some classes of extended-hyperbolic Kac-Moody and extended-hyperbolic generalized Kac-Moody algebras. (English) Zbl 1066.17015 Sthanumoorthy, N. (ed.) et al., Kac-Moody Lie algebras and related topics. Proceedings of the Ramanujan international symposium, Chennai, India, January 28–31, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3337-5/pbk). Contemp. Math. 343, 315-347 (2004). Reviewer: Yong-Qing Chen (Shenzhen) MSC: 17B67 PDFBibTeX XMLCite \textit{N. Sthanumoorthy} et al., Contemp. Math. 343, 315--347 (2004; Zbl 1066.17015)
Primc, Mirko Generators of relations for annihilating fields. (English) Zbl 1046.17008 Sthanumoorthy, N. (ed.) et al., Kac-Moody Lie algebras and related topics. Proceedings of the Ramanujan international symposium, Chennai, India, January 28–31, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3337-5/pbk). Contemp. Math. 343, 229-241 (2004). Reviewer: Julius Borcea (Stockholm) MSC: 17B67 17B69 05A19 PDFBibTeX XMLCite \textit{M. Primc}, Contemp. Math. 343, 229--241 (2004; Zbl 1046.17008) Full Text: arXiv
Nicolai, Hermann; Fischbacher, Thomas Low level representations for \(E_{10}\) and \(E_{11}\). (English) Zbl 1042.17022 Sthanumoorthy, N. (ed.) et al., Kac-Moody Lie algebras and related topics. Proceedings of the Ramanujan international symposium, Chennai, India, January 28–31, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3337-5/pbk). Contemp. Math. 343, 191-227 (2004). Reviewer: Yong-Qing Chen (Shenzhen) MSC: 17B67 81R10 22E65 PDFBibTeX XMLCite \textit{H. Nicolai} and \textit{T. Fischbacher}, Contemp. Math. 343, 191--227 (2004; Zbl 1042.17022) Full Text: arXiv
Feingold, Alex J. Fusion rules for affine Kac-Moody algebras. (English) Zbl 1048.17012 Sthanumoorthy, N. (ed.) et al., Kac-Moody Lie algebras and related topics. Proceedings of the Ramanujan international symposium, Chennai, India, January 28–31, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3337-5/pbk). Contemp. Math. 343, 53-96 (2004). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B65 81T40 81R10 05E10 PDFBibTeX XMLCite \textit{A. J. Feingold}, Contemp. Math. 343, 53--96 (2004; Zbl 1048.17012) Full Text: arXiv
Date, Etsuro; Usami, Kosuke On an analog of the Onsager algebra of type \(D_n^{(1)}\). (English) Zbl 1042.17020 Sthanumoorthy, N. (ed.) et al., Kac-Moody Lie algebras and related topics. Proceedings of the Ramanujan international symposium, Chennai, India, January 28–31, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3337-5/pbk). Contemp. Math. 343, 43-51 (2004). Reviewer: Yong-Qing Chen (Shenzhen) MSC: 17B67 22E67 81R12 82B23 PDFBibTeX XMLCite \textit{E. Date} and \textit{K. Usami}, Contemp. Math. 343, 43--51 (2004; Zbl 1042.17020)
Adamović, Dražen Regularity of certain vertex operator superalgebras. (English) Zbl 1058.17017 Sthanumoorthy, N. (ed.) et al., Kac-Moody Lie algebras and related topics. Proceedings of the Ramanujan international symposium, Chennai, India, January 28–31, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3337-5/pbk). Contemp. Math. 343, 1-16 (2004). Reviewer: Hiromichi Yamada (Tokyo) MSC: 17B69 17B67 17B68 81R10 PDFBibTeX XMLCite \textit{D. Adamović}, Contemp. Math. 343, 1--16 (2004; Zbl 1058.17017)
Bardy, Nicole Abstract definition of a root system in the symmetrisable case. (Définition abstraite d’un système de racines dans le cas symétrisable.) (French) Zbl 1066.17002 J. Algebra 271, No. 1, 108-178 (2004). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 17B20 17B67 PDFBibTeX XMLCite \textit{N. Bardy}, J. Algebra 271, No. 1, 108--178 (2004; Zbl 1066.17002) Full Text: DOI
Kleinschmidt, Axel E\(_{11}\) as E\(_{10}\) representation at low levels. (English) Zbl 1097.17507 Nucl. Phys., B 677, No. 3, 553-586 (2004). MSC: 17B67 PDFBibTeX XMLCite \textit{A. Kleinschmidt}, Nucl. Phys., B 677, No. 3, 553--586 (2004; Zbl 1097.17507) Full Text: DOI arXiv
Kim, Yeonok; Min, Seungkeun On the nilpotency of certain subalgebras of Kac-Moody algebras of type \(A^{(r)}_ N\). (English) Zbl 1101.17304 Commun. Korean Math. Soc. 18, No. 3, 439-447 (2003). MSC: 17B67 PDFBibTeX XMLCite \textit{Y. Kim} and \textit{S. Min}, Commun. Korean Math. Soc. 18, No. 3, 439--447 (2003; Zbl 1101.17304) Full Text: DOI
Primc, Mirko Relations for annihilating fields of standard modules for affine Lie algebras. (English) Zbl 1084.17010 Berman, Stephen (ed.) et al., Vertex operator algebras in mathematics and physics. Proceedings of the workshop, Fields Institute for Research in Mathematical Sciences, Toronto, Canada, October 23–27, 2000. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2856-8/hbk). Fields Inst. Commun. 39, 169-187 (2003). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B69 05A19 PDFBibTeX XMLCite \textit{M. Primc}, Fields Inst. Commun. 39, 169--187 (2003; Zbl 1084.17010) Full Text: arXiv
Frenkel, Igor; Malkin, Anton; Vybornov, Maxim Quiver varieties, affine Lie algebras, algebras of BPS states, and semicanonical basis. (English) Zbl 1091.17010 Jing, Naihuan (ed.), Algebraic combinatorics and quantum groups. River Edge, NJ: World Scientific (ISBN 981-238-446-4/hbk). 11-29 (2003). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 81R10 PDFBibTeX XMLCite \textit{I. Frenkel} et al., in: Algebraic combinatorics and quantum groups. River Edge, NJ: World Scientific. 11--29 (2003; Zbl 1091.17010) Full Text: arXiv
Carbone, Lisa; Garland, Howard Existence of lattices in Kac-Moody groups over finite fields. (English) Zbl 1070.17010 Commun. Contemp. Math. 5, No. 5, 813-867 (2003). Reviewer: Lucy Lifschitz (Norman) MSC: 17B67 20E42 22E40 22F50 20F65 PDFBibTeX XMLCite \textit{L. Carbone} and \textit{H. Garland}, Commun. Contemp. Math. 5, No. 5, 813--867 (2003; Zbl 1070.17010) Full Text: DOI
Naito, Satoshi; Sagaki, Daisuke Path model for a level-zero extremal weight module over a quantum affine algebra. (English) Zbl 1080.17008 Int. Math. Res. Not. 2003, No. 32, 1731-1754 (2003). Reviewer: Joaquín Jódar Reyes (Jaen) MSC: 17B37 17B67 PDFBibTeX XMLCite \textit{S. Naito} and \textit{D. Sagaki}, Int. Math. Res. Not. 2003, No. 32, 1731--1754 (2003; Zbl 1080.17008) Full Text: DOI
Okado, Masato; Schilling, Anne; Shimozono, Mark Virtual crystals and Kleber’s algorithm. (English) Zbl 1052.17009 Commun. Math. Phys. 238, No. 1-2, 187-209 (2003). Reviewer: Robert Marsh (Leicester) MSC: 17B37 81R50 17B67 PDFBibTeX XMLCite \textit{M. Okado} et al., Commun. Math. Phys. 238, No. 1--2, 187--209 (2003; Zbl 1052.17009) Full Text: DOI arXiv
Savage, Alistair; Schiffmann, Olivier Quiver varieties and fusion products for \(\mathfrak{sl}_2\). (English) Zbl 1042.17023 J. Algebra 269, No. 2, 544-555 (2003). Reviewer: Sorin Dascalescu (Safat) MSC: 17B67 16G20 14L30 PDFBibTeX XMLCite \textit{A. Savage} and \textit{O. Schiffmann}, J. Algebra 269, No. 2, 544--555 (2003; Zbl 1042.17023) Full Text: DOI arXiv
Kuniba, A.; Okado, M.; Takagi, T.; Yamada, Y. Geometric crystal and tropical \(R\) for \(D_n^{(1)}\). (English) Zbl 1052.17005 Int. Math. Res. Not. 2003, No. 48, 2565-2620 (2003). Reviewer: Robert Marsh (Leicester) MSC: 17B37 81R50 17B67 PDFBibTeX XMLCite \textit{A. Kuniba} et al., Int. Math. Res. Not. 2003, No. 48, 2565--2620 (2003; Zbl 1052.17005) Full Text: DOI arXiv
Naito, Satoshi Twining characters and Kostant’s homology formula. (English) Zbl 1058.17015 Tohoku Math. J., II. Ser. 55, No. 2, 157-173 (2003). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B10 17B55 PDFBibTeX XMLCite \textit{S. Naito}, Tôhoku Math. J. (2) 55, No. 2, 157--173 (2003; Zbl 1058.17015) Full Text: DOI
Okado, Masato; Schilling, Anne; Shimozono, Mark A tensor product theorem related to perfect crystals. (English) Zbl 1039.17017 J. Algebra 267, No. 1, 212-245 (2003). Reviewer: Ye Jiachen (Shanghai) MSC: 17B37 17B67 81R10 05E10 82B23 PDFBibTeX XMLCite \textit{M. Okado} et al., J. Algebra 267, No. 1, 212--245 (2003; Zbl 1039.17017) Full Text: DOI arXiv
Wenzl, Hans On tensor categories of Lie type \(E_{N}, N\neq 9\). (English) Zbl 1038.17009 Adv. Math. 177, No. 1, 66-104 (2003). Reviewer: Robert Marsh (Leicester) MSC: 17B37 17B10 17B67 PDFBibTeX XMLCite \textit{H. Wenzl}, Adv. Math. 177, No. 1, 66--104 (2003; Zbl 1038.17009) Full Text: DOI
Fiebig, Peter Centers and translation functors for the category \({\mathcal O}\) over Kac-Moody algebras. (English) Zbl 1021.17007 Math. Z. 243, No. 4, 689-717 (2003). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B67 PDFBibTeX XMLCite \textit{P. Fiebig}, Math. Z. 243, No. 4, 689--717 (2003; Zbl 1021.17007) Full Text: DOI
Höhn, Gerald; Scheithauer, Nils R. A natural construction of Borcherds’ fake baby monster Lie algebra. (English) Zbl 1038.17022 Am. J. Math. 125, No. 3, 655-667 (2003). Reviewer: Hiromichi Yamada (Tokyo) MSC: 17B69 17B67 PDFBibTeX XMLCite \textit{G. Höhn} and \textit{N. R. Scheithauer}, Am. J. Math. 125, No. 3, 655--667 (2003; Zbl 1038.17022) Full Text: DOI arXiv
Ludwig, Andreas W. W.; Wiese, Kay Jörg The 4-loop \(\beta\)-function in the 2D non-Abelian Thirring model, and comparison with its conjectured “exact” form. (English) Zbl 1040.81082 Nucl. Phys., B 661, No. 3, 577-607 (2003). MSC: 81T40 81R10 81T17 17B67 33B15 81T10 PDFBibTeX XMLCite \textit{A. W. W. Ludwig} and \textit{K. J. Wiese}, Nucl. Phys., B 661, No. 3, 577--607 (2003; Zbl 1040.81082) Full Text: DOI arXiv
Frenkel, Igor B.; Savage, Alistair Bases of representations of type \(A\) affine Lie algebras via quiver varieties and statistical mechanics. (English) Zbl 1023.17010 Int. Math. Res. Not. 2003, No. 28, 1521-1547 (2003). Reviewer: Ye Jiachen (Shanghai) MSC: 17B67 82B23 17B10 PDFBibTeX XMLCite \textit{I. B. Frenkel} and \textit{A. Savage}, Int. Math. Res. Not. 2003, No. 28, 1521--1547 (2003; Zbl 1023.17010) Full Text: DOI arXiv
You, Hong; Jiang, Cuipo Vertex operator construction for the toroidal Lie algebra of type \(F_4\). (English) Zbl 1039.17030 Commun. Algebra 31, No. 5, 2161-2182 (2003). Reviewer: Hiromichi Yamada (Tokyo) MSC: 17B69 17B67 17B70 PDFBibTeX XMLCite \textit{H. You} and \textit{C. Jiang}, Commun. Algebra 31, No. 5, 2161--2182 (2003; Zbl 1039.17030) Full Text: DOI
Ion, Bogdan Nonsymmetric Macdonald polynomials and Demazure characters. (English) Zbl 1039.33008 Duke Math. J. 116, No. 2, 299-318 (2003). Reviewer: Angela Pasquale (Metz) MSC: 33D52 17B67 20C08 33D45 PDFBibTeX XMLCite \textit{B. Ion}, Duke Math. J. 116, No. 2, 299--318 (2003; Zbl 1039.33008) Full Text: DOI arXiv
Halpern, M. B. On the large \(N\) limit of conformal field theory. (English) Zbl 1028.81049 Ann. Phys. 303, No. 2, 321-358 (2003). MSC: 81T40 81R10 22E70 PDFBibTeX XMLCite \textit{M. B. Halpern}, Ann. Phys. 303, No. 2, 321--358 (2003; Zbl 1028.81049) Full Text: DOI arXiv
Lu, Caihui; Xu, Haixia A sufficient condition for pairing problem of generators in symmetrizable Kac–Moody algebras. (English) Zbl 1013.17023 J. Algebra 260, No. 2, 570-576 (2003). MSC: 17B67 PDFBibTeX XMLCite \textit{C. Lu} and \textit{H. Xu}, J. Algebra 260, No. 2, 570--576 (2003; Zbl 1013.17023) Full Text: DOI
Dokuchaev, M.; Vasconcellos Figueiredo, L. M.; Futorny, V. Imaginary Verma modules for the extended affine Lie algebra \(sl_2(\mathbb C_q)\). (English) Zbl 1026.17029 Commun. Algebra 31, No. 1, 289-308 (2003). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 22E47 17B65 PDFBibTeX XMLCite \textit{M. Dokuchaev} et al., Commun. Algebra 31, No. 1, 289--308 (2003; Zbl 1026.17029) Full Text: DOI arXiv
Adamović, Dražen A construction of some ideals in affine vertex algebras. (English) Zbl 1013.17024 Int. J. Math. Math. Sci. 2003, No. 15, 971-980 (2003). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B69 17B67 PDFBibTeX XMLCite \textit{D. Adamović}, Int. J. Math. Math. Sci. 2003, No. 15, 971--980 (2003; Zbl 1013.17024) Full Text: DOI arXiv EuDML
Jimbo, M.; Miwa, T.; Mukhin, E. Bosonic formulas for \(\widehat{\mathfrak{sl}}_2\) coinvariants. (English) Zbl 1048.17013 Ramanujan J. 6, No. 4, 491-508 (2002). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 05A19 PDFBibTeX XMLCite \textit{M. Jimbo} et al., Ramanujan J. 6, No. 4, 491--508 (2002; Zbl 1048.17013) Full Text: DOI arXiv
Capparelli, Stefano Representations of a twisted affine Lie algebra and combinatorial identities. (English) Zbl 1034.17014 Bakić, D. (ed.) et al., Functional analysis VII. Proceedings of the postgraduate school and conference, Dubrovnik, Croatia, September 17–26, 2001. Aarhus: University of Aarhus, Department of Mathematical Sciences. Var. Publ. Ser., Aarhus Univ. 46, 105-110 (2002). Reviewer: Yong-Qing Chen (Shenzhen) MSC: 17B67 05A19 05E15 PDFBibTeX XMLCite \textit{S. Capparelli}, Var. Publ. Ser., Aarhus Univ. 46, 105--110 (2002; Zbl 1034.17014)
Mokler, Claus The \(\mathbb{F}\)-valued points of the algebra of strongly regular functions of a Kac-Moody group. (English) Zbl 1029.22026 Transform. Groups 7, No. 4, 343-378 (2002). Reviewer: Heinrich Reitberger (Innsbruck) MSC: 22E65 17B67 PDFBibTeX XMLCite \textit{C. Mokler}, Transform. Groups 7, No. 4, 343--378 (2002; Zbl 1029.22026) Full Text: DOI arXiv
Poroshenko, E. N. Gröbner-Shirshov bases for Kac-Moody algebras of types \(C^{(1)}_n\) and \(D^{(1)}_n\). (Russian) Zbl 1013.17021 Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 2, No. 1, 58-70 (2002). Reviewer: K.N.Ponomarev (Novosibirsk) MSC: 17B67 PDFBibTeX XMLCite \textit{E. N. Poroshenko}, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 2, No. 1, 58--70 (2002; Zbl 1013.17021)
Naito, Satoshi Twining characters, Konstant’s homology formula, and the Bernstein-Gelfand-Gelfand resolution. (English) Zbl 1044.17016 J. Math. Kyoto Univ. 42, No. 1, 83-103 (2002). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B10 17B55 PDFBibTeX XMLCite \textit{S. Naito}, J. Math. Kyoto Univ. 42, No. 1, 83--103 (2002; Zbl 1044.17016) Full Text: DOI
Wang, Xiandong Generalized twisted affine Lie algebra and its modules: case \(D_4\). (Chinese. English summary) Zbl 1055.17012 Chin. Ann. Math., Ser. A 23, No. 6, 759-764 (2002). Reviewer: Shen Guangyu (Shanghai) MSC: 17B67 PDFBibTeX XMLCite \textit{X. Wang}, Chin. Ann. Math., Ser. A 23, No. 6, 759--764 (2002; Zbl 1055.17012)
Sevostyanov, A. Drinfeld-Sokolov reduction for quantum groups and deformations of \(W\)-algebras. (English) Zbl 1015.17009 Sel. Math., New Ser. 8, No. 4, 637-703 (2002). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 81R50 81R10 17B68 PDFBibTeX XMLCite \textit{A. Sevostyanov}, Sel. Math., New Ser. 8, No. 4, 637--703 (2002; Zbl 1015.17009) Full Text: arXiv
Tan, Shaobin Irreducible modules of generalized Virasoro-toroidal Lie algebras. (Chinese. English summary) Zbl 1034.17017 Chin. Ann. Math., Ser. A 23, No. 3, 311-320 (2002). Reviewer: Yong-Qing Chen (Shenzhen) MSC: 17B67 17B68 17B10 PDFBibTeX XMLCite \textit{S. Tan}, Chin. Ann. Math., Ser. A 23, No. 3, 311--320 (2002; Zbl 1034.17017)
Eswara Rao, S.; Batra, Punita A new class of representations of EALA coordinated by quantum tori in two variables. (English) Zbl 1034.17015 Can. Math. Bull. 45, No. 4, 672-685 (2002). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 PDFBibTeX XMLCite \textit{S. Eswara Rao} and \textit{P. Batra}, Can. Math. Bull. 45, No. 4, 672--685 (2002; Zbl 1034.17015) Full Text: DOI
Gao, Yun Fermionic and bosonic representations of the extended affine Lie algebra \(\widetilde{{\mathfrak gl}_N(\mathbb{C}_q)}\). (English) Zbl 1040.17017 Can. Math. Bull. 45, No. 4, 623-633 (2002). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B65 17B67 PDFBibTeX XMLCite \textit{Y. Gao}, Can. Math. Bull. 45, No. 4, 623--633 (2002; Zbl 1040.17017) Full Text: DOI
Leslie, Joshua A. On a solution to a global inverse problem with respect to certain generalized symmetrizable Kac-Moody algebras. (English) Zbl 1050.17018 Banyaga, Augustia (ed.) et al., Infinite dimensional Lie groups in geometry and representation theory. Papers delivered on the occasion of the 2000 Howard fest on infinite dimensional Lie groups in geometry and representation theory, Washington, DC, USA, August 17–21, 2000. Singapore: World Scientific (ISBN 981-238-068-X/hbk). 31-43 (2002). Reviewer: Tomasz Rybicki (Kraków) MSC: 17B65 17B67 22E65 PDFBibTeX XMLCite \textit{J. A. Leslie}, in: Infinite dimensional Lie groups in geometry and representation theory. Papers delivered on the occasion of the 2000 Howard fest on infinite dimensional Lie groups in geometry and representation theory, Washington, DC, USA, August 17--21, 2000. Singapore: World Scientific. 31--43 (2002; Zbl 1050.17018)
Rausch de Traubenberg, M.; Slupinski, M. J. Kac-Moody algebras and Lie algebras of regular vector fields on tori. (English) Zbl 1048.17014 J. Algebra 253, No. 1, 189-208 (2002). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B66 PDFBibTeX XMLCite \textit{M. Rausch de Traubenberg} and \textit{M. J. Slupinski}, J. Algebra 253, No. 1, 189--208 (2002; Zbl 1048.17014) Full Text: DOI arXiv
Nervi, Josiane Affine Kac-Moody algebras graded by affine root systems. (English) Zbl 1019.17007 J. Algebra 253, No. 1, 50-99 (2002). Reviewer: Alberto Elduque (Zaragoza) MSC: 17B67 17B70 PDFBibTeX XMLCite \textit{J. Nervi}, J. Algebra 253, No. 1, 50--99 (2002; Zbl 1019.17007) Full Text: DOI
Billig, Yuly Sine-Gordon equation and representations of affine Kac-Moody algebra \(\widehat{sl}_2\). (English) Zbl 1021.35094 J. Funct. Anal. 192, No. 2, 295-318 (2002). Reviewer: Igor Andrianov (Köln) MSC: 35Q53 17B67 37K30 PDFBibTeX XMLCite \textit{Y. Billig}, J. Funct. Anal. 192, No. 2, 295--318 (2002; Zbl 1021.35094) Full Text: DOI arXiv
Azam, Saeid Generalized loop algebras, extended affine Lie algebras and root systems. (English) Zbl 1030.17026 Bajo, Ignacio (ed.) et al., Proceedings of the 1st colloquium on Lie theory and applications, Universidade de Vigo, Vigo, Spain, July 17-22, 2000. Vigo: Universidade de Vigo, Servicio de Publicacións. Colecc. Congr. 35, 25-35 (2002). MSC: 17B67 PDFBibTeX XMLCite \textit{S. Azam}, in: Proceedings of the 1st colloquium on Lie theory and applications, Universidade de Vigo, Vigo, Spain, July 17--22, 2000. Vigo: Universidade de Vigo, Servicio de Publicacións. 25--35 (2002; Zbl 1030.17026)
Sagaki, Daisuke Crystal bases, path models, and a twining character formula for Demazure modules. (English) Zbl 1020.17017 Publ. Res. Inst. Math. Sci. 38, No. 2, 245-264 (2002). Reviewer: Robert Marsh (Leicester) MSC: 17B67 17B37 20G42 PDFBibTeX XMLCite \textit{D. Sagaki}, Publ. Res. Inst. Math. Sci. 38, No. 2, 245--264 (2002; Zbl 1020.17017) Full Text: DOI arXiv
Lima-Santos, A. \(A_{n-1}^{(1)}\) reflection \(K\)-matrices. (English) Zbl 0999.82008 Nucl. Phys., B 644, No. 3, 568-584 (2002). MSC: 82B20 81R10 PDFBibTeX XMLCite \textit{A. Lima-Santos}, Nucl. Phys., B 644, No. 3, 568--584 (2002; Zbl 0999.82008) Full Text: DOI arXiv
Hontz, Jennifer; Misra, Kailash C. Root multiplicities of the indefinite Kac-Moody Lie algebras \(HD_ 4^{(3)}\) and \(HG_ 2^{(1)}\). (English) Zbl 1058.17014 Commun. Algebra 30, No. 6, 2941-2959 (2002). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 PDFBibTeX XMLCite \textit{J. Hontz} and \textit{K. C. Misra}, Commun. Algebra 30, No. 6, 2941--2959 (2002; Zbl 1058.17014) Full Text: DOI
Naito, Satoshi Twining character formula of Kac-Wakimoto type for affine Lie algebras. (English) Zbl 0994.17010 Represent. Theory 6, 70-100 (2002). MSC: 17B67 17B10 17B40 PDFBibTeX XMLCite \textit{S. Naito}, Represent. Theory 6, 70--100 (2002; Zbl 0994.17010)
Ikeda, Takeshi; Yamada, Hiro-Fumi Polynomial \(\tau\)-functions of the NLS-Toda hierarchy and the Virasoro singular vectors. (English) Zbl 1077.17021 Lett. Math. Phys. 60, No. 2, 147-156 (2002). Reviewer: Valentina Golubeva (Moskva) MSC: 17B67 37K30 17B68 17B80 35Q55 PDFBibTeX XMLCite \textit{T. Ikeda} and \textit{H.-F. Yamada}, Lett. Math. Phys. 60, No. 2, 147--156 (2002; Zbl 1077.17021) Full Text: DOI arXiv
Kohno, Toshitake Conformal field theory and topology. Transl. from the Japanese by the author. (English) Zbl 1024.81001 Translations of Mathematical Monographs. Iwanami Series in Modern Mathematics. 210. Providence, RI: American Mathematical Society (AMS). x, 172 p. (2002). Reviewer: Werner Kleinert (Berlin) MSC: 81-02 57-02 81T40 81T45 53C80 53C29 57M27 17B67 17B69 22E67 81R10 PDFBibTeX XMLCite \textit{T. Kohno}, Conformal field theory and topology. Transl. from the Japanese by the author. Providence, RI: American Mathematical Society (AMS) (2002; Zbl 1024.81001)
Ariki, Susumu Representations of quantum algebras and combinatorics of Young tableaux. Transl. from the Japanese and revised from the author. (English) Zbl 1003.17008 University Lecture Series. 26. Providence, RI: American Mathematical Society (AMS). vii, 158 p. (2002). Reviewer: Robert Marsh (Leicester) MSC: 17B37 05E10 17-02 20C08 17B67 20C33 16D90 16G20 14M15 81R50 PDFBibTeX XMLCite \textit{S. Ariki}, Representations of quantum algebras and combinatorics of Young tableaux. Transl. from the Japanese and revised from the author. Providence, RI: American Mathematical Society (AMS) (2002; Zbl 1003.17008)
Fernández-Ternero, D.; Núñez-Valdés, J. Nilpotent Lie algebras of maximal rank and of Kac-Moody type: \(E_{6}^{(1)}\). (English) Zbl 0992.17004 J. Algebra 250, No. 2, 664-695 (2002). Reviewer: Ernest L.Stitzinger (Raleigh) MSC: 17B30 17B67 PDFBibTeX XMLCite \textit{D. Fernández-Ternero} and \textit{J. Núñez-Valdés}, J. Algebra 250, No. 2, 664--695 (2002; Zbl 0992.17004) Full Text: DOI
Joseph, Anthony; Todorić, Dragana On the quantum KPRV determinants for semisimple and affine Lie algebras. (English) Zbl 1043.17008 Algebr. Represent. Theory 5, No. 1, 57-99 (2002). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 17B35 17B67 PDFBibTeX XMLCite \textit{A. Joseph} and \textit{D. Todorić}, Algebr. Represent. Theory 5, No. 1, 57--99 (2002; Zbl 1043.17008) Full Text: DOI
Niemann, Peter Some generalized Kac-Moody algebras with known root multiplicities. (English) Zbl 1056.17019 Mem. Am. Math. Soc. 746, 119 p. (2002). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 PDFBibTeX XMLCite \textit{P. Niemann}, Some generalized Kac-Moody algebras with known root multiplicities. Providence, RI: American Mathematical Society (AMS) (2002; Zbl 1056.17019) Full Text: DOI arXiv
Frenkel, Edward Vertex algebras and algebraic curves. (English) Zbl 0997.17015 Séminaire Bourbaki. Volume 1999/2000. Exposés 865-879. Paris: Société Mathématique de France, Astérisque 276, 299-339, Exp. No. 875 (2002). Reviewer: Martin Schlichenmaier (Mannheim) MSC: 17B69 14H60 17-02 17B67 81T40 14H10 17B68 81R10 PDFBibTeX XMLCite \textit{E. Frenkel}, Astérisque 276, 299--339, Exp. No. 875 (2002; Zbl 0997.17015) Full Text: arXiv Numdam EuDML
Arkhipov, S.; Gaitsgory, D. Differential operators on the loop group via chiral algebras. (English) Zbl 0997.17016 Int. Math. Res. Not. 2002, No. 4, 165-210 (2002). Reviewer: Martin Schlichenmaier (Mannheim) MSC: 17B69 14H10 81R10 81T40 20G15 17B67 22E67 PDFBibTeX XMLCite \textit{S. Arkhipov} and \textit{D. Gaitsgory}, Int. Math. Res. Not. 2002, No. 4, 165--210 (2002; Zbl 0997.17016) Full Text: DOI arXiv
Klimčík, Ctirad Quasitriangular chiral WZW model in a nutshell. (English) Zbl 1012.81506 Maeda, Yoshiaki (ed.) et al., Noncommutative geometry and string theory. Proceedings of the international workshop, Keio Univ., Yokohama, Japan, March 16-22, 2001. Kyoto: Progress of Theoretical Physics, Prog. Theor. Phys., Suppl. 144, 119-124 (2001). MSC: 81R50 81R10 81S10 53D55 81T10 PDFBibTeX XMLCite \textit{C. Klimčík}, Prog. Theor. Phys., Suppl. 144, 119--124 (2001; Zbl 1012.81506) Full Text: arXiv
Takebayashi, Tadayoshi On the defining relations of the simply-laced elliptic Lie algebras. (English) Zbl 1013.17019 Proc. Japan Acad., Ser. A 77, No. 7, 119-121 (2001). MSC: 17B65 17B67 PDFBibTeX XMLCite \textit{T. Takebayashi}, Proc. Japan Acad., Ser. A 77, No. 7, 119--121 (2001; Zbl 1013.17019) Full Text: DOI
Nakajima, Hiraku Quiver varieties and tensor products. (English) Zbl 1023.17008 Invent. Math. 146, No. 2, 399-449 (2001). Reviewer: Ye Jiachen (Shanghai) MSC: 17B37 17B67 PDFBibTeX XMLCite \textit{H. Nakajima}, Invent. Math. 146, No. 2, 399--449 (2001; Zbl 1023.17008) Full Text: DOI arXiv
Hara, Yuji; Jing, Naihuan; Misra, Kailash BRST resolution for the principally graded Wakimoto module of \(\widehat{\mathfrak s\mathfrak l}_2\). (English) Zbl 0992.17012 Lett. Math. Phys. 58, No. 3, 181-188 (2001). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 81R10 81T70 17B37 35Q58 PDFBibTeX XMLCite \textit{Y. Hara} et al., Lett. Math. Phys. 58, No. 3, 181--188(2002) (2001; Zbl 0992.17012) Full Text: DOI arXiv
Gao, Yun; Jing, Naihuan Algebras over the Fock space. (English) Zbl 1012.17007 C. R. Math. Acad. Sci., Soc. R. Can. 23, No. 4, 136-140 (2001). Reviewer: Yong-Qing Chen (Shenzhen) MSC: 17B37 17B67 17B69 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{N. Jing}, C. R. Math. Acad. Sci., Soc. R. Can. 23, No. 4, 136--140 (2001; Zbl 1012.17007)
Nicolai, H.; Olive, D. I. The principal \(\mathrm{SO}(1,2)\) subalgebra of a hyperbolic Kac-Moody algebra. (English) Zbl 1012.17017 Lett. Math. Phys. 58, No. 2, 141-152 (2001). Reviewer: Yong-Qing Chen (Shenzhen) MSC: 17B67 81R10 PDFBibTeX XMLCite \textit{H. Nicolai} and \textit{D. I. Olive}, Lett. Math. Phys. 58, No. 2, 141--152 (2001; Zbl 1012.17017) Full Text: DOI arXiv
Baker, Andrew; Tamanoi, Hirotaka Invariants for finite dimensional groups in vertex operator algebras associated to basic representations of affine algebras. (English) Zbl 1032.17046 McKay, John (ed.) et al., Proceedings on Moonshine and related topics. Proceedings of the workshop, Montréal, Canada, May 1999. Dedicated to the memory of Chih-Han Sah. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 30, 1-13 (2001). MSC: 17B69 81R10 55N34 PDFBibTeX XMLCite \textit{A. Baker} and \textit{H. Tamanoi}, in: Proceedings on Moonshine and related topics. Proceedings of the workshop, Montréal, Canada, May 1999. Dedicated to the memory of Chih-Han Sah. Providence, RI: American Mathematical Society (AMS). 1--13 (2001; Zbl 1032.17046)
Ito, Ken The classification of convex orders on affine root systems. (English) Zbl 0989.17016 Commun. Algebra 29, No. 12, 5605-5630 (2001). Reviewer: Ye Jiachen (Shanghai) MSC: 17B67 17B37 17B20 PDFBibTeX XMLCite \textit{K. Ito}, Commun. Algebra 29, No. 12, 5605--5630 (2001; Zbl 0989.17016) Full Text: DOI arXiv
Jiang, Cuipo; Meng, Daoji Vertex representations for the \(\nu +1\)-toroidal Lie algebra of type \(B_l\). (English) Zbl 1055.17014 J. Algebra 246, No. 2, 564-593 (2001). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B69 17B67 81R10 PDFBibTeX XMLCite \textit{C. Jiang} and \textit{D. Meng}, J. Algebra 246, No. 2, 564--593 (2001; Zbl 1055.17014) Full Text: DOI
Gueuvoghlanian, E. P. Bicomplexes and conservation laws in non-abelian Toda models. (English) Zbl 0991.37044 J. Phys. A, Math. Gen. 34, No. 31, L425-L433 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37K10 37K30 81R12 81R10 17B80 PDFBibTeX XMLCite \textit{E. P. Gueuvoghlanian}, J. Phys. A, Math. Gen. 34, No. 31, L425--L433 (2001; Zbl 0991.37044) Full Text: DOI arXiv
Semikhatov, A. M.; Tipunin, I. Yu.; Feigin, B. L. Semi-infinite realization of unitary representations of the \(N=2\) algebra and related constructions. (English. Russian original) Zbl 0998.81032 Theor. Math. Phys. 126, No. 1, 1-47 (2001); translation from Teor. Mat. Fiz. 126, No. 1, 3-62 (2001). Reviewer: Gerald Hofmann (Leipzig) MSC: 81R10 17B68 17B81 PDFBibTeX XMLCite \textit{A. M. Semikhatov} et al., Theor. Math. Phys. 126, No. 1, 1--47 (2001; Zbl 0998.81032); translation from Teor. Mat. Fiz. 126, No. 1, 3--62 (2001) Full Text: DOI
Allison, Bruce N.; Gao, Yun The root system and the core of an extended affine Lie algebra. (English) Zbl 1058.17012 Sel. Math., New Ser. 7, No. 2, 149-212 (2001). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 PDFBibTeX XMLCite \textit{B. N. Allison} and \textit{Y. Gao}, Sel. Math., New Ser. 7, No. 2, 149--212 (2001; Zbl 1058.17012) Full Text: DOI
Chari, Vyjayanthi; Pressley, Andrew Weyl modules for classical and quantum affine algebras. (English) Zbl 0989.17019 Represent. Theory 5, 191-223 (2001). Reviewer: Ye Jiachen (Shanghai) MSC: 17B67 81R10 PDFBibTeX XMLCite \textit{V. Chari} and \textit{A. Pressley}, Represent. Theory 5, 191--223 (2001; Zbl 0989.17019) Full Text: arXiv
Futorny, Vyacheslav; König, Steffen; Mazorchuk, Volodymyr Categories of induced modules for Lie algebras with triangular decomposition. (English) Zbl 0991.17019 Forum Math. 13, No. 5, 641-661 (2001). Reviewer: M.Kuznetsov (Nizhnij Novgorod) MSC: 17B67 17B65 17B10 22E47 PDFBibTeX XMLCite \textit{V. Futorny} et al., Forum Math. 13, No. 5, 641--661 (2001; Zbl 0991.17019) Full Text: DOI
Noumi, Masatoshi; Yamada, Yasuhiko Birational Weyl group action arising from a nilpotent Poisson algebra. (English) Zbl 0991.37047 Kirillov, Anatol N. (ed.) et al., Physics and combinatorics. Proceedings of the international workshop, Nagoya, Japan, August 23-27, 1999. Singapore: World Scientific. 287-319 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37K35 37A20 17B63 17B67 PDFBibTeX XMLCite \textit{M. Noumi} and \textit{Y. Yamada}, in: Physics and combinatorics. Proceedings of the international workshop, Nagoya, Japan, August 23--27, 1999. Singapore: World Scientific. 287--319 (2001; Zbl 0991.37047) Full Text: DOI arXiv
Nakajima, Hiraku \(t\)-analogue of the \(q\)-characters of finite-dimensional representations of quantum affine algebras. (English) Zbl 1011.17013 Kirillov, A. N. (ed.) et al., Physics and combinatorics. Proceedings of the Nagoya 2000 2nd international workshop, Nagoya, Japan, August 21-26, 2000. Singapore: World Scientific. 196-219 (2001). MSC: 17B37 17B67 PDFBibTeX XMLCite \textit{H. Nakajima}, in: Physics and combinatorics. Proceedings of the Nagoya 2000 2nd international workshop, Nagoya, Japan, August 21--26, 2000. Singapore: World Scientific. 196--219 (2001; Zbl 1011.17013) Full Text: arXiv
Fernández-Ternero, D.; Núñez-Valdés, J. Nilpotent Lie algebras of maximal rank and of Kac-Moody type: \(F_4^{(1)}\). (English) Zbl 0991.17008 Commun. Algebra 29, No. 4, 1551-1570 (2001). Reviewer: M.Boral (Adana) MSC: 17B30 17B67 PDFBibTeX XMLCite \textit{D. Fernández-Ternero} and \textit{J. Núñez-Valdés}, Commun. Algebra 29, No. 4, 1551--1570 (2001; Zbl 0991.17008) Full Text: DOI
Jin, Quanqin; Zhang, Zhixue On automorphisms of affine Kac-Moody algebras. (English) Zbl 0983.17014 Commun. Algebra 29, No. 7, 2827-2858 (2001). Reviewer: Shen Guangyu (Shanghai) MSC: 17B67 17B40 PDFBibTeX XMLCite \textit{Q. Jin} and \textit{Z. Zhang}, Commun. Algebra 29, No. 7, 2827--2858 (2001; Zbl 0983.17014) Full Text: DOI
Cheng, Shun-Jen; Wang, Weiqiang Howe duality for Lie superalgebras. (English) Zbl 1023.17017 Compos. Math. 128, No. 1, 55-94 (2001). Reviewer: Stefano Capparelli (Roma) MSC: 17B10 17B67 05A19 PDFBibTeX XMLCite \textit{S.-J. Cheng} and \textit{W. Wang}, Compos. Math. 128, No. 1, 55--94 (2001; Zbl 1023.17017) Full Text: DOI arXiv
Feigin, B. L.; Semikhatov, A. M. The \(\widehat{s\ell}(2)\oplus\widehat{s\ell}(2)/\widehat{s\ell}(2)\) coset theory as a Hamiltonian reduction of \(\widehat{D}(2|1;\alpha)\). (English) Zbl 0971.81044 Nucl. Phys., B 610, No. 3, 489-530 (2001). MSC: 81R50 17B80 81R10 PDFBibTeX XMLCite \textit{B. L. Feigin} and \textit{A. M. Semikhatov}, Nucl. Phys., B 610, No. 3, 489--530 (2001; Zbl 0971.81044) Full Text: DOI arXiv
Frenkel, Edward; Mukhin, Evgeny Combinatorics of \(q\)-characters of finite-dimensional representations of quantum affine algebras. (English) Zbl 1051.17013 Commun. Math. Phys. 216, No. 1, 23-57 (2001). Reviewer: Robert Marsh (Leicester) MSC: 17B37 17B67 17B10 81R50 PDFBibTeX XMLCite \textit{E. Frenkel} and \textit{E. Mukhin}, Commun. Math. Phys. 216, No. 1, 23--57 (2001; Zbl 1051.17013) Full Text: DOI arXiv
Gao, Yongcun; Yang, Mingsheng The regular elements and Cartan subalgebras of Kac-Moody algebras. (Chinese. English summary) Zbl 1061.17023 J. Qufu Norm. Univ., Nat. Sci. 27, No. 2, 5-7 (2001). MSC: 17B67 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{M. Yang}, J. Qufu Norm. Univ., Nat. Sci. 27, No. 2, 5--7 (2001; Zbl 1061.17023)
Futorny, V.; Tsylke, A. Classification of irreducible nonzero level modules with finite-dimensional weight spaces for affine Lie algebras. (English) Zbl 1017.17008 J. Algebra 238, No. 2, 426-441 (2001). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B67 PDFBibTeX XMLCite \textit{V. Futorny} and \textit{A. Tsylke}, J. Algebra 238, No. 2, 426--441 (2001; Zbl 1017.17008) Full Text: DOI
Fiebig, Peter Centers of deformed representation categories and translation functors. (Zentren deformierter Darstellungskategorien und Verschiebungsfunktoren.) (German) Zbl 0998.17004 Freiburg i. Br.: Univ. Freiburg, Mathematische Fakultät, 40 S. (2001). Reviewer: Jörg Feldvoss (Hamburg) MSC: 17B10 17B67 17-02 PDFBibTeX XMLCite \textit{P. Fiebig}, Zentren deformierter Darstellungskategorien und Verschiebungsfunktoren. Freiburg i. Br.: Univ. Freiburg, Mathematische Fakultät (2001; Zbl 0998.17004)
Ray, Urmie Generalized Kac-Moody algebras and some related topics. (English) Zbl 1116.17015 Bull. Am. Math. Soc., New Ser. 38, No. 1, 1-42 (2001). Reviewer: Olaf Ninnemann (Berlin) MSC: 17B67 17-02 17B69 20D08 11F22 PDFBibTeX XMLCite \textit{U. Ray}, Bull. Am. Math. Soc., New Ser. 38, No. 1, 1--42 (2001; Zbl 1116.17015) Full Text: DOI
Damiani, Ilaria The \(R\)-matrix for (twisted) affine quantum algebras. (English) Zbl 1007.17012 Wang, Jianpan (ed.) et al., Representations and quantizations. Proceedings of the international conference on representation theory, Shanghai, China, June 29-July 3, 1998. Beijing: China Higher Education Press (CHEP). 89-144 (2000). Reviewer: Jörg Feldvoss (Hamburg) MSC: 17B37 17B20 17B67 PDFBibTeX XMLCite \textit{I. Damiani}, in: Representations and quantizations. Proceedings of the international conference on representation theory, Shanghai, China, June 29--July 3, 1998. Beijing: China Higher Education Press (CHEP); Berlin: Springer. 89--144 (2000; Zbl 1007.17012) Full Text: arXiv
Pati, K. C.; Das, B. Satake diagrams and Iwasawa decomposition of twisted Kac-Moody algebras. (English) Zbl 0969.17014 J. Math. Phys. 41, No. 11, 7817-7831 (2000). Reviewer: Volodymyr Mazorchuk (Bonn) MSC: 17B67 PDFBibTeX XMLCite \textit{K. C. Pati} and \textit{B. Das}, J. Math. Phys. 41, No. 11, 7817--7831 (2000; Zbl 0969.17014) Full Text: DOI
Twarock, R. Aperiodic Virasoro algebra. (English) Zbl 0969.17015 J. Math. Phys. 41, No. 7, 5088-5106 (2000). Reviewer: Volodymyr Mazorchuk (Bonn) MSC: 17B68 81R10 17B67 PDFBibTeX XMLCite \textit{R. Twarock}, J. Math. Phys. 41, No. 7, 5088--5106 (2000; Zbl 0969.17015) Full Text: DOI
Uglov, Denis Skew Schur functions and Yangian actions on irreducible integrable modules of \(\widehat{{\mathfrak{gl}}_N}\). (English) Zbl 1030.17016 Ann. Comb. 4, No. 3-4, 383-400 (2000). MSC: 17B37 05E05 17B67 17B81 PDFBibTeX XMLCite \textit{D. Uglov}, Ann. Comb. 4, No. 3--4, 383--400 (2000; Zbl 1030.17016) Full Text: DOI
Saito, Kyoji; Yoshii, Daigo Extended affine root system. IV: Simply-laced elliptic Lie algebras. (English) Zbl 0987.17012 Publ. Res. Inst. Math. Sci. 36, No. 3, 385-421 (2000). Reviewer: Hiromichi Yamada (Tokyo) MSC: 17B65 17B67 PDFBibTeX XMLCite \textit{K. Saito} and \textit{D. Yoshii}, Publ. Res. Inst. Math. Sci. 36, No. 3, 385--421 (2000; Zbl 0987.17012) Full Text: DOI
Futorny, Vyacheslav M.; Melville, Duncan J. Equivalence of certain categories of modules for quantized affine Lie algebras. (English) Zbl 0967.17012 J. Aust. Math. Soc., Ser. A 69, No. 2, 162-175 (2000). Reviewer: Volodymyr Mazorchuk (Bonn) MSC: 17B37 17B67 81R50 PDFBibTeX XMLCite \textit{V. M. Futorny} and \textit{D. J. Melville}, J. Aust. Math. Soc., Ser. A 69, No. 2, 162--175 (2000; Zbl 0967.17012)
Zhang, Qing; Wang, Zhaoxia Special imaginary roots of a class of generalized Kac-Moody algebras. (Chinese. English summary) Zbl 0999.17035 J. Hebei Norm. Univ., Nat. Sci. Ed. 24, No. 2, 166-168 (2000). Reviewer: Shen Guangyu (Shanghai) MSC: 17B67 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{Z. Wang}, J. Hebei Norm. Univ., Nat. Sci. Ed. 24, No. 2, 166--168 (2000; Zbl 0999.17035)
Groß, Christian \(s\)-representations for involutions on affine Kac-Moody algebras are polar. (English) Zbl 0972.17015 Manuscr. Math. 103, No. 3, 339-350 (2000). Reviewer: Karl-Hermann Neeb (Darmstadt) MSC: 17B67 53C40 17B40 PDFBibTeX XMLCite \textit{C. Groß}, Manuscr. Math. 103, No. 3, 339--350 (2000; Zbl 0972.17015) Full Text: DOI
Wang, Xiandong; Shen, Guangyu Generalized twisted affine Lie algebras and their modules. (Chinese) Zbl 0976.17014 Chin. Ann. Math., Ser. A 21, No. 5, 623-630 (2000). Reviewer: Xi Changchang (Beijing) MSC: 17B67 PDFBibTeX XMLCite \textit{X. Wang} and \textit{G. Shen}, Chin. Ann. Math., Ser. A 21, No. 5, 623--630 (2000; Zbl 0976.17014)
Finkelberg, Michael; Kuznetsov, Alexander Parabolic sheaves on surfaces and affine Lie algebra \(\widehat{{\mathfrak gl}}_n\). (English) Zbl 0999.17034 J. Reine Angew. Math. 529, 155-203 (2000). Reviewer: Michael Finkelberg (Moskva) MSC: 17B67 14F05 17B10 PDFBibTeX XMLCite \textit{M. Finkelberg} and \textit{A. Kuznetsov}, J. Reine Angew. Math. 529, 155--203 (2000; Zbl 0999.17034) Full Text: DOI arXiv
Bratchikov, A. V. \(g/u(1)^d\) parafermions from constrained WZNW theories. (English) Zbl 1006.81082 J. Phys. A, Math. Gen. 33, No. 29, 5183-5191 (2000). MSC: 81T70 81T60 81R10 81T40 PDFBibTeX XMLCite \textit{A. V. Bratchikov}, J. Phys. A, Math. Gen. 33, No. 29, 5183--5191 (2000; Zbl 1006.81082) Full Text: DOI arXiv
Zhelobenko, D. P. Universal Verma modules and \(W\)-resolvents over Kac-Moody algebras. (English. Russian original) Zbl 0980.17013 Theor. Math. Phys. 122, No. 3, 278-297 (2000); translation from Teor. Mat. Fiz. 122, No. 3, 334-356 (2000). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 PDFBibTeX XMLCite \textit{D. P. Zhelobenko}, Theor. Math. Phys. 122, No. 3, 334--356 (2000; Zbl 0980.17013); translation from Teor. Mat. Fiz. 122, No. 3, 334--356 (2000) Full Text: DOI
Gao, Yun Vertex operators arising from the homogeneous realization for \(\widehat{\text{gl}}_N\). (English) Zbl 0982.17012 Commun. Math. Phys. 211, No. 3, 745-777 (2000). Reviewer: Volodymyr Mazorchuk (Bonn) MSC: 17B69 17B67 17B10 PDFBibTeX XMLCite \textit{Y. Gao}, Commun. Math. Phys. 211, No. 3, 745--777 (2000; Zbl 0982.17012) Full Text: DOI
Chakrabarti, Ranabir; Santhanam, Thalanayar S. The Kostant partition functions for twisted Kac-Moody algebras. (English) Zbl 1073.17504 Int. J. Math. Math. Sci. 24, No. 1, 11-27 (2000). MSC: 17B67 17B10 17B20 PDFBibTeX XMLCite \textit{R. Chakrabarti} and \textit{T. S. Santhanam}, Int. J. Math. Math. Sci. 24, No. 1, 11--27 (2000; Zbl 1073.17504) Full Text: DOI EuDML
Husu, Cristiano Generating function identities for untwisted standard modules of affine Lie algebras. (English) Zbl 0973.17035 Commun. Algebra 28, No. 9, 4411-4432 (2000). Reviewer: Xiaoping Xu (Kowloon) MSC: 17B69 17B67 PDFBibTeX XMLCite \textit{C. Husu}, Commun. Algebra 28, No. 9, 4411--4432 (2000; Zbl 0973.17035) Full Text: DOI