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Found 1,417 Documents (Results 601–700)

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).
MSC:  17B67
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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).
MSC:  17B67 17B69 05A19
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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).
MSC:  17B67 81R10 22E65
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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).
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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).
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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).
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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).
MSC:  17B67 17B69 05A19
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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).
MSC:  17B67 81R10
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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).
MSC:  17B67 05A19 05E15
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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).
MSC:  17B65 17B67 22E65
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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
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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).
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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).
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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).
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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
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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).
MSC:  81R10 17B68 17B81
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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).
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\(t\)-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
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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).
MSC:  17B10 17B67 17-02
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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).
MSC:  17B37 17B20 17B67
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