Gao, Alice L. L.; Lu, Linyuan; Xie, Matthew H. Y.; Yang, Arthur L. B.; Zhang, Philip B. The Kazhdan-Lusztig polynomials of uniform matroids. (English) Zbl 07304619 Adv. Appl. Math. 122, Article ID 102117, 24 p. (2021). MSC: 05B35 52B40 05A15 26C10 33F10 PDF BibTeX XML Cite \textit{A. L. L. Gao} et al., Adv. Appl. Math. 122, Article ID 102117, 24 p. (2021; Zbl 07304619) Full Text: DOI
Gaetz, Christian; Gao, Yibo Self-dual intervals in the Bruhat order. (English) Zbl 07296289 Sel. Math., New Ser. 26, No. 5, Paper No. 77, 23 p. (2020). MSC: 05E99 14M15 14F43 14N15 PDF BibTeX XML Cite \textit{C. Gaetz} and \textit{Y. Gao}, Sel. Math., New Ser. 26, No. 5, Paper No. 77, 23 p. (2020; Zbl 07296289) Full Text: DOI
Adams, Jeffrey D.; van Leeuwen, Marc A. A.; Trapa, Peter E.; Vogan, David A. jun. Unitary representations of real reductive groups. (English) Zbl 07269853 Astérisque 417. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-918-0/pbk). x, 174 p. (2020). MSC: 22E46 22-02 20G05 17B15 PDF BibTeX XML Cite \textit{J. D. Adams} et al., Unitary representations of real reductive groups. Paris: Société Mathématique de France (SMF) (2020; Zbl 07269853) Full Text: DOI
Ko, Hankyung Cohomology in singular blocks for a quantum group at a root of unity. (English) Zbl 07144048 Algebr. Represent. Theory 22, No. 5, 1109-1132 (2019). MSC: 17B37 20G05 PDF BibTeX XML Cite \textit{H. Ko}, Algebr. Represent. Theory 22, No. 5, 1109--1132 (2019; Zbl 07144048) Full Text: DOI
Bump, Daniel; Nakasuji, Maki Casselman’s basis of Iwahori vectors and Kazhdan-Lusztig polynomials. (English) Zbl 07131212 Can. J. Math. 71, No. 6, 1351-1366 (2019). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 22E50 20C08 20F55 PDF BibTeX XML Cite \textit{D. Bump} and \textit{M. Nakasuji}, Can. J. Math. 71, No. 6, 1351--1366 (2019; Zbl 07131212) Full Text: DOI arXiv
Xie, Matthew H. Y.; Zhang, Philip B. Equivariant Kazhdan-Lusztig polynomials of thagomizer matroids. (English) Zbl 1421.05028 Proc. Am. Math. Soc. 147, No. 11, 4687-4695 (2019). MSC: 05B35 05E05 20C30 52B40 PDF BibTeX XML Cite \textit{M. H. Y. Xie} and \textit{P. B. Zhang}, Proc. Am. Math. Soc. 147, No. 11, 4687--4695 (2019; Zbl 1421.05028) Full Text: DOI arXiv
Proudfoot, Nicholas Equivariant Kazhdan-Lusztig polynomials of \(q\)-niform matroids. (English) Zbl 1417.05024 Algebr. Comb. 2, No. 4, 613-619 (2019). MSC: 05B35 05C31 52B40 20C33 PDF BibTeX XML Cite \textit{N. Proudfoot}, Algebr. Comb. 2, No. 4, 613--619 (2019; Zbl 1417.05024) Full Text: DOI arXiv
Yin, Yunchuan The inversion polynomials in the twisted Kazhdan-Lusztig theory. (Chinese. English summary) Zbl 1424.20004 Acta Math. Sin., Chin. Ser. 61, No. 4, 609-618 (2018). MSC: 20C08 20F55 PDF BibTeX XML Cite \textit{Y. Yin}, Acta Math. Sin., Chin. Ser. 61, No. 4, 609--618 (2018; Zbl 1424.20004)
Fan, Neil J. Y.; Guo, Alan J. X. On 1234-nesting Kazhdan-Lusztig \(R\)-polynomials for the symmetric group. (English) Zbl 1387.05011 Commun. Algebra 46, No. 2, 644-652 (2018). MSC: 05A15 05E15 20F55 20C30 PDF BibTeX XML Cite \textit{N. J. Y. Fan} and \textit{A. J. X. Guo}, Commun. Algebra 46, No. 2, 644--652 (2018; Zbl 1387.05011) Full Text: DOI
Wakefield, Max A flag Whitney number formula for matroid Kazhdan-Lusztig polynomials. (English) Zbl 1380.05023 Electron. J. Comb. 25, No. 1, Research Paper P1.22, 14 p. (2018). MSC: 05B35 52B40 06A07 11B75 PDF BibTeX XML Cite \textit{M. Wakefield}, Electron. J. Comb. 25, No. 1, Research Paper P1.22, 14 p. (2018; Zbl 1380.05023) Full Text: Link
Proudfoot, Nicholas; Young, Ben Configuration spaces, \(\mathrm{FS}^{\mathrm{op}}\)-modules, and Kazhdan-Lusztig polynomials of braid matroids. (English) Zbl 06747482 New York J. Math. 23, 813-832 (2017). MSC: 20C30 55R80 55N33 PDF BibTeX XML Cite \textit{N. Proudfoot} and \textit{B. Young}, New York J. Math. 23, 813--832 (2017; Zbl 06747482) Full Text: EMIS
Brenti, Francesco A twisted duality for parabolic Kazhdan-Lusztig \(R\)-polynomials. (English) Zbl 1439.20039 J. Algebra 477, 472-482 (2017). MSC: 20F55 05E16 05A15 20G05 PDF BibTeX XML Cite \textit{F. Brenti}, J. Algebra 477, 472--482 (2017; Zbl 1439.20039) Full Text: DOI
Brenti, Francesco; Mongelli, Pietro; Sentinelli, Paolo Parabolic Kazhdan-Lusztig polynomials for quasi-minuscule quotients. (English) Zbl 1335.05210 Adv. Appl. Math. 78, 27-55 (2016). MSC: 05E15 05E10 20F55 PDF BibTeX XML Cite \textit{F. Brenti} et al., Adv. Appl. Math. 78, 27--55 (2016; Zbl 1335.05210) Full Text: DOI
Yin, Yunchuan \(W\)-graph ideals and duality. (English) Zbl 1383.20008 J. Algebra 453, 377-399 (2016). MSC: 20C08 20F55 05E10 PDF BibTeX XML Cite \textit{Y. Yin}, J. Algebra 453, 377--399 (2016; Zbl 1383.20008) Full Text: DOI
Proudfoot, Nicholas; Wakefield, Max; Young, Ben Intersection cohomology of the symmetric reciprocal plane. (English) Zbl 1331.05233 J. Algebr. Comb. 43, No. 1, 129-138 (2016). MSC: 05E15 05E10 05B35 PDF BibTeX XML Cite \textit{N. Proudfoot} et al., J. Algebr. Comb. 43, No. 1, 129--138 (2016; Zbl 1331.05233) Full Text: DOI
Brenti, Francesco; Mongelli, Pietro; Sentinelli, Paolo Parabolic Kazhdan-Lusztig \(R\)-polynomials for quasi-minuscule quotients. (English) Zbl 1380.20004 J. Algebra 452, 574-595 (2016). MSC: 20C08 20F55 05E10 PDF BibTeX XML Cite \textit{F. Brenti} et al., J. Algebra 452, 574--595 (2016; Zbl 1380.20004) Full Text: DOI
McGovern, William M. Upper semicontinuity of KLV polynomials for certain blocks of Harish-Chandra modules. (English) Zbl 1341.22009 Nevins, Monica (ed.) et al., Representations of reductive groups. In honor of the 60th birthday of David A. Vogan, Jr. Proceedings of the conference, MIT, Cambridge, MA, USA, May 19–23, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-23442-7/hbk; 978-3-319-23443-4/ebook). Progress in Mathematics 312, 437-441 (2015). MSC: 22E46 20G05 PDF BibTeX XML Cite \textit{W. M. McGovern}, Prog. Math. 312, 437--441 (2015; Zbl 1341.22009) Full Text: DOI arXiv
Adams, Jeffrey; Vogan, David A jun. Parameters for twisted representations. (English) Zbl 1342.22021 Nevins, Monica (ed.) et al., Representations of reductive groups. In honor of the 60th birthday of David A. Vogan, Jr. Proceedings of the conference, MIT, Cambridge, MA, USA, May 19–23, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-23442-7/hbk; 978-3-319-23443-4/ebook). Progress in Mathematics 312, 51-116 (2015). Reviewer: Dmitry Artamonov (Moskva) MSC: 22E46 20G05 PDF BibTeX XML Cite \textit{J. Adams} and \textit{D. A Vogan jun.}, Prog. Math. 312, 51--116 (2015; Zbl 1342.22021) Full Text: DOI
Lenart, Cristian; Zainoulline, Kirill On Schubert calculus in elliptic cohomology. (English. French summary) Zbl 1335.05223 Proceedings of the 27th international conference on formal power series and algebraic combinatorics, FPSAC 2015, Daejeon, South Korea, July 6–10, 2015. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 757-768 (2015). MSC: 05E15 14N15 14F42 19D55 19L47 PDF BibTeX XML Cite \textit{C. Lenart} and \textit{K. Zainoulline}, in: Proceedings of the 27th international conference on formal power series and algebraic combinatorics, FPSAC 2015, Daejeon, South Korea, July 6--10, 2015. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 757--768 (2015; Zbl 1335.05223) Full Text: Link
Martin, Paul P. The decomposition matrices of the Brauer algebra over the complex field. (English) Zbl 1362.16020 Trans. Am. Math. Soc. 367, No. 3, 1797-1825 (2015). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 16G30 16G10 20C30 PDF BibTeX XML Cite \textit{P. P. Martin}, Trans. Am. Math. Soc. 367, No. 3, 1797--1825 (2015; Zbl 1362.16020) Full Text: DOI
Yee, Wai Ling Relating signed and classical Kazhdan-Lusztig polynomials. (English) Zbl 1298.22017 Duke Math. J. 163, No. 11, 2161-2178 (2014). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E47 05E10 PDF BibTeX XML Cite \textit{W. L. Yee}, Duke Math. J. 163, No. 11, 2161--2178 (2014; Zbl 1298.22017) Full Text: DOI Euclid arXiv
Chen, William Y. C.; Fan, Neil J. Y.; Guo, Alan J. X.; Guo, Peter L.; Huang, Harry H. Y.; Zhong, Michael X. X. Combinatorial proof of the inversion formula on the Kazhdan-Lusztig \(R\)-polynomials. (English) Zbl 1296.05015 Math. Z. 277, No. 3-4, 1017-1025 (2014). MSC: 05A19 05E15 20F55 PDF BibTeX XML Cite \textit{W. Y. C. Chen} et al., Math. Z. 277, No. 3--4, 1017--1025 (2014; Zbl 1296.05015) Full Text: DOI arXiv
Lejczyk, Tobias; Stroppel, Catharina A graphical description of \((D_n,A_{n-1})\) Kazhdan-Lusztig polynomials. (English) Zbl 1272.17014 Glasg. Math. J. 55, No. 2, 313-340 (2013). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 16G10 05E15 PDF BibTeX XML Cite \textit{T. Lejczyk} and \textit{C. Stroppel}, Glasg. Math. J. 55, No. 2, 313--340 (2013; Zbl 1272.17014) Full Text: DOI arXiv
Nakajima, Hiraku Handsaw quiver varieties and finite \(W\)-algebras. (English) Zbl 1290.17013 Mosc. Math. J. 12, No. 3, 633-666 (2012). MSC: 17B37 14D21 PDF BibTeX XML Cite \textit{H. Nakajima}, Mosc. Math. J. 12, No. 3, 633--666 (2012; Zbl 1290.17013) Full Text: Link arXiv
Luo, Li Character formulae for ortho-symplectic Lie superalgebras \(\mathfrak{osp}(n|2)\). (English) Zbl 1270.17003 J. Algebra 353, No. 1, 31-61 (2012). Reviewer: Uberto Cattaneo (Maggia) MSC: 17B10 17B20 17B56 PDF BibTeX XML Cite \textit{L. Luo}, J. Algebra 353, No. 1, 31--61 (2012; Zbl 1270.17003) Full Text: DOI
Frenkel, Igor B.; Stroppel, Catharina; Sussan, Joshua Categorifying fractional Euler characteristics, Jones-Wenzl projectors and \(3j\)-symbols. (English) Zbl 1256.17006 Quantum Topol. 3, No. 2, 181-253 (2012). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B37 57M27 20C08 33C05 05A10 05E10 PDF BibTeX XML Cite \textit{I. B. Frenkel} et al., Quantum Topol. 3, No. 2, 181--253 (2012; Zbl 1256.17006) Full Text: DOI arXiv
Mazorchuk, Volodymyr Lectures on algebraic categorification. (English) Zbl 1238.18001 The QGM Master Class Series. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-108-8/pbk). ix, 119 p. (2012). Reviewer: Wolfgang Rump (Stuttgart) MSC: 18-01 18D05 18E30 18A40 17B55 PDF BibTeX XML Cite \textit{V. Mazorchuk}, Lectures on algebraic categorification. Zürich: European Mathematical Society (EMS) (2012; Zbl 1238.18001) Full Text: DOI arXiv
Billera, Louis J. Flag enumeration in polytopes, Eulerian partially ordered sets and Coxeter groups. (English) Zbl 1241.06003 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. IV: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-34-2/hbk; 978-81-85931-08-3/hbk; 978-981-4324-31-1/set; 978-981-4324-35-9/ebook). 2389-2415 (2011). MSC: 06A11 05E05 16T30 20F55 52B11 PDF BibTeX XML Cite \textit{L. J. Billera}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. IV: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 2389--2415 (2011; Zbl 1241.06003) Full Text: Link
Brundan, Jonathan; Stroppel, Catharina Highest weight categories arising from Khovanov’s diagram algebra. II: Koszulity. (English) Zbl 1205.17010 Transform. Groups 15, No. 1, 1-45 (2010). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 16S37 PDF BibTeX XML Cite \textit{J. Brundan} and \textit{C. Stroppel}, Transform. Groups 15, No. 1, 1--45 (2010; Zbl 1205.17010) Full Text: DOI arXiv
Brenti, Francesco Enumerative properties of shifted-Dyck partitions. (English) Zbl 1228.05027 J. Comb. Theory, Ser. A 117, No. 3, 223-235 (2010). MSC: 05A15 PDF BibTeX XML Cite \textit{F. Brenti}, J. Comb. Theory, Ser. A 117, No. 3, 223--235 (2010; Zbl 1228.05027) Full Text: DOI
Skandera, Mark; Lambright, Justin An immanant formulation of the dual canonical basis of the quantum polynomial ring. (English. French summary) Zbl 1391.20005 Krattenthaler, Christian (ed.) et al., Proceedings of the 21st annual international conference on formal power series and algebraic combinatorics, FPSAC 2009, Hagenberg, Austria, July 20–24, 2009. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 915-926 (2009). MSC: 20C08 05E15 16T25 PDF BibTeX XML Cite \textit{M. Skandera} and \textit{J. Lambright}, in: Proceedings of the 21st annual international conference on formal power series and algebraic combinatorics, FPSAC 2009, Hagenberg, Austria, July 20--24, 2009. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 915--926 (2009; Zbl 1391.20005) Full Text: Link
Björner, Anders; Ekedahl, Torsten On the shape of Bruhat intervals. (English) Zbl 1226.05268 Ann. Math. (2) 170, No. 2, 799-817 (2009). MSC: 05E99 06A11 14F20 14F43 14M15 20F55 05A05 PDF BibTeX XML Cite \textit{A. Björner} and \textit{T. Ekedahl}, Ann. Math. (2) 170, No. 2, 799--817 (2009; Zbl 1226.05268) Full Text: DOI Link arXiv
Jones, Brant Deodhar elements in Kazhdan-Lusztig theory. (English. French summary) Zbl 1393.20001 Proceedings of the 20th annual international conference on formal power series and algebraic combinatorics, FPSAC 2008, Viña del Mar, Chile, June 23–27, 2008. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 271-282 (2008). MSC: 20C08 20F55 05E15 PDF BibTeX XML Cite \textit{B. Jones}, in: Proceedings of the 20th annual international conference on formal power series and algebraic combinatorics, FPSAC 2008, Viña del Mar, Chile, June 23--27, 2008. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 271--282 (2008; Zbl 1393.20001) Full Text: Link
Yee, Wai Ling Signatures of invariant Hermitian forms on irreducible highest-weight modules. (English) Zbl 1138.22010 Duke Math. J. 142, No. 1, 165-196 (2008); corrigendum ibid. 163, No. 11 (2013). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E47 17B37 PDF BibTeX XML Cite \textit{W. L. Yee}, Duke Math. J. 142, No. 1, 165--196 (2008; Zbl 1138.22010) Full Text: DOI arXiv
Gorelik, Maria; Kac, Victor On simplicity of vacuum modules. (English) Zbl 1112.17023 Adv. Math. 211, No. 2, 621-677 (2007). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 PDF BibTeX XML Cite \textit{M. Gorelik} and \textit{V. Kac}, Adv. Math. 211, No. 2, 621--677 (2007; Zbl 1112.17023) Full Text: DOI
Su, Yucai; Zhang, R. B. Character and dimension formulae for general linear superalgebra. (English) Zbl 1166.17002 Adv. Math. 211, No. 1, 1-33 (2007). Reviewer: Jan Grabowski (Oxford) MSC: 17B10 PDF BibTeX XML Cite \textit{Y. Su} and \textit{R. B. Zhang}, Adv. Math. 211, No. 1, 1--33 (2007; Zbl 1166.17002) Full Text: DOI arXiv
Caselli, Fabrizio A simple combinatorial proof of a generalization of a result of Polo. (English) Zbl 1049.05079 Represent. Theory 8, 479-486 (2004). MSC: 05E15 20C08 PDF BibTeX XML Cite \textit{F. Caselli}, Represent. Theory 8, 479--486 (2004; Zbl 1049.05079) Full Text: DOI
Caselli, Fabrizio Proof of two conjectures of Brenti and Simion on Kazhdan-Lusztig polynomials. (English) Zbl 1067.05078 J. Algebr. Comb. 18, No. 3, 171-187 (2003). Reviewer: Cornel Baetica (Bucureşti) MSC: 05E15 20C30 11B39 17B10 05E10 PDF BibTeX XML Cite \textit{F. Caselli}, J. Algebr. Comb. 18, No. 3, 171--187 (2003; Zbl 1067.05078) Full Text: DOI
Nelsen, Kendra; Ram, Arun Kostka-Foulkes polynomials and Macdonald spherical functions. (English) Zbl 1036.05049 Wensley, C. D. (ed.), Surveys in combinatorics, 2003. Proceedings of the 19th British combinatorial conference, University of Wales, Bangor, UK, June 29–July 04, 2003. Cambridge: Cambridge University Press (ISBN 0-521-54012-7/pbk). Lond. Math. Soc. Lect. Note Ser. 307, 325-370 (2003). Reviewer: Vesselin Drensky (Sofia) MSC: 05E05 05E10 05E35 20C05 20C08 20F55 PDF BibTeX XML Cite \textit{K. Nelsen} and \textit{A. Ram}, Lond. Math. Soc. Lect. Note Ser. 307, 325--370 (2003; Zbl 1036.05049) Full Text: arXiv
Brenti, Francesco Enumerative and combinatorial properties of Dyck partitions. (English) Zbl 1017.05018 J. Comb. Theory, Ser. A 99, No. 1, 51-74 (2002). Reviewer: Ljuben Mutafchiev (Sofia) MSC: 05A17 05A15 PDF BibTeX XML Cite \textit{F. Brenti}, J. Comb. Theory, Ser. A 99, No. 1, 51--74 (2002; Zbl 1017.05018) Full Text: DOI
Lusztig, George Representation theory in characteristic \(p\). (English) Zbl 0998.17005 Maruyama, Masaki (ed.) et al., Taniguchi conference on mathematics Nara ’98. Papers from the conference, Nara, Japan, December 15-20, 1998. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 31, 167-178 (2001). Reviewer: Jörg Feldvoss (Hamburg) MSC: 17B10 17B50 17B37 17B20 17B45 PDF BibTeX XML Cite \textit{G. Lusztig}, Adv. Stud. Pure Math. 31, 167--178 (2001; Zbl 0998.17005)
Bangovan, S. Intersection cohomology and Lie algebra homology. (English) Zbl 1001.17021 Commun. Algebra 29, No. 8, 3621-3634 (2001). Reviewer: Friedrich Wagemann (Nantes) MSC: 17B55 PDF BibTeX XML Cite \textit{S. Bangovan}, Commun. Algebra 29, No. 8, 3621--3634 (2001; Zbl 1001.17021) Full Text: DOI
Billey, Sara; Lakshmibai, V. Singular loci of Schubert varieties. (English) Zbl 0959.14032 Progress in Mathematics (Boston, Mass.). 182. Boston, MA: Birkhäuser. xii, 251 p. (2000). Reviewer: Dan Laksov (Stockholm) MSC: 14M15 14B05 14-02 14M12 PDF BibTeX XML Cite \textit{S. Billey} and \textit{V. Lakshmibai}, Singular loci of Schubert varieties. Boston, MA: Birkhäuser (2000; Zbl 0959.14032)
Brenti, Francesco; Simion, Rodica Explicit formulae for some Kazhdan-Lusztig polynomials. (English) Zbl 0958.05138 J. Algebr. Comb. 11, No. 3, 187-196 (2000). Reviewer: C.Baetica (Bucureşti) MSC: 05E15 11B39 PDF BibTeX XML Cite \textit{F. Brenti} and \textit{R. Simion}, J. Algebr. Comb. 11, No. 3, 187--196 (2000; Zbl 0958.05138) Full Text: DOI
du Cloux, Fokko An abstract model for Bruhat intervals. (English) Zbl 0953.05083 Eur. J. Comb. 21, No. 2, 197-222 (2000). Reviewer: Valeriy B.Mnukhin (Suva, Fiji Islands) MSC: 05E25 06A11 20F55 52B22 PDF BibTeX XML Cite \textit{F. du Cloux}, Eur. J. Comb. 21, No. 2, 197--222 (2000; Zbl 0953.05083) Full Text: DOI
Varagnolo, Michela; Vasserot, Eric On the decomposition matrices of the quantized Schur algebra. (English) Zbl 0962.17006 Duke Math. J. 100, No. 2, 267-297 (1999). Reviewer: Ye Jiachen (Shanghai) MSC: 17B37 20C30 17B10 PDF BibTeX XML Cite \textit{M. Varagnolo} and \textit{E. Vasserot}, Duke Math. J. 100, No. 2, 267--297 (1999; Zbl 0962.17006) Full Text: DOI arXiv
Goodman, Frederick M.; Wenzl, Hans Crystal bases of quantum affine algebras and affine Kazhdan-Lusztig polynomials. (English) Zbl 1027.17011 Int. Math. Res. Not. 1999, No. 5, 251-275 (1999). Reviewer: Ye Jiachen (Shanghai) MSC: 17B37 17B10 17B65 17B67 PDF BibTeX XML Cite \textit{F. M. Goodman} and \textit{H. Wenzl}, Int. Math. Res. Not. 1999, No. 5, 251--275 (1999; Zbl 1027.17011) Full Text: DOI arXiv
Van der Jeugt, J.; Zhang, R. B. Characters and composition factor multiplicities for the Lie superalgebra \({\mathfrak{gl}}(m/n)\). (English) Zbl 0932.17009 Lett. Math. Phys. 47, No. 1, 49-61 (1999). Reviewer: Vesselin Drensky (Sofia) MSC: 17B10 17B70 17A70 05E10 PDF BibTeX XML Cite \textit{J. Van der Jeugt} and \textit{R. B. Zhang}, Lett. Math. Phys. 47, No. 1, 49--61 (1999; Zbl 0932.17009) Full Text: DOI
Kashiwara, Masaki; Tanisaki, Toshiyuki Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case. (English) Zbl 0929.17027 Duke Math. J. 84, No. 3, 771-813 (1996). Reviewer: K.C.Misra (Raleigh) MSC: 17B67 17B10 22E47 PDF BibTeX XML Cite \textit{M. Kashiwara} and \textit{T. Tanisaki}, Duke Math. J. 84, No. 3, 771--813 (1996; Zbl 0929.17027) Full Text: DOI
Kashiwara, Masaki; Tanisaki, Toshiyuki Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. (English) Zbl 0829.17020 Duke Math. J. 77, No. 1, 21-62 (1995). Reviewer: K.C.Misra (Raleigh) MSC: 17B67 22E47 PDF BibTeX XML Cite \textit{M. Kashiwara} and \textit{T. Tanisaki}, Duke Math. J. 77, No. 1, 21--62 (1995; Zbl 0829.17020) Full Text: DOI
Stanley, Richard P. A symmetric function generalization of the chromatic polynomial of a graph. (English) Zbl 0831.05027 Adv. Math. 111, No. 1, 166-194 (1995). Reviewer: T.R.Walsh (Montreal) MSC: 05C15 05E05 PDF BibTeX XML Cite \textit{R. P. Stanley}, Adv. Math. 111, No. 1, 166--194 (1995; Zbl 0831.05027) Full Text: DOI
Naito, S. Kazhdan-Lusztig conjecture for generalized Kac-Moody algebras. I: Towards the conjecture. (English) Zbl 0829.17022 Commun. Algebra 23, No. 2, 703-736 (1995). Reviewer: H.Yamada (Tokyo) MSC: 17B67 PDF BibTeX XML Cite \textit{S. Naito}, Commun. Algebra 23, No. 2, 703--736 (1995; Zbl 0829.17022) Full Text: DOI
Kashiwara, Masaki; Tanisaki, Toshiyuki Characters of the negative level highest-weight modules for affine Lie algebras. (English) Zbl 0838.17022 Int. Math. Res. Not. 1994, No. 3, 151-160 (1994). Reviewer: A.N.Pressley (London) MSC: 17B67 17B50 17B37 PDF BibTeX XML Cite \textit{M. Kashiwara} and \textit{T. Tanisaki}, Int. Math. Res. Not. 1994, No. 3, 151--160 (1994; Zbl 0838.17022) Full Text: DOI
Cline, Edward; Parshall, Brian; Scott, Leonard Abstract Kazhdan-Lusztig theories. (English) Zbl 0801.20013 Tôhoku Math. J., II. Ser. 45, No. 4, 511-534 (1993). Reviewer: Ye Jiachen (Shanghai) MSC: 20G05 20G10 17B10 PDF BibTeX XML Cite \textit{E. Cline} et al., Tohoku Math. J. (2) 45, No. 4, 511--534 (1993; Zbl 0801.20013) Full Text: DOI
Humphreys, James E. Reflection groups and Coxeter groups. (English) Zbl 0768.20016 Cambridge Studies in Advanced Mathematics. 29. Cambridge: Cambridge University Press. xii, 204 p. (1992). MSC: 20F55 20G05 20-02 51F15 20H15 PDF BibTeX XML Cite \textit{J. E. Humphreys}, Reflection groups and Coxeter groups. Cambridge: Cambridge University Press (1992; Zbl 0768.20016)
Dyer, Matthew On the “Bruhat graph” of a Coxeter system. (English) Zbl 0784.20019 Compos. Math. 78, No. 2, 185-191 (1991). Reviewer: Cheng Chonhu (Xiangtan) MSC: 20F55 20G05 06A07 PDF BibTeX XML Cite \textit{M. Dyer}, Compos. Math. 78, No. 2, 185--191 (1991; Zbl 0784.20019) Full Text: Numdam EuDML
Humphreys, James E. Reflection groups and Coxeter groups. (English) Zbl 0725.20028 Cambridge Studies in Advanced Mathematics, 29. Cambridge etc.: Cambridge University Press. xii, 204 p. £25.00; $ 39.50 (1990). Reviewer: V.F.Molchanov (Tambov) MSC: 20F55 20G05 20-02 51F15 20H15 PDF BibTeX XML Cite \textit{J. E. Humphreys}, Reflection groups and Coxeter groups. Cambridge etc.: Cambridge University Press (1990; Zbl 0725.20028)
Suto, Kiyokazu On the Kazhdan-Lusztig conjecture for Kac-Moody algebras. (English) Zbl 0632.17011 J. Math. Kyoto Univ. 27, 243-258 (1987). Reviewer: H.Yamada MSC: 17B67 17B10 17B65 PDF BibTeX XML Cite \textit{K. Suto}, J. Math. Kyoto Univ. 27, 243--258 (1987; Zbl 0632.17011) Full Text: DOI
Joseph, Anthony On the cyclicity of vectors associated with Duflo involutions. (English) Zbl 0621.17006 Non-commutative harmonic analysis and Lie groups, Proc. Int. Conf., Marseille-Luminy 1985, Lect. Notes Math. 1243, 144-188 (1987). Reviewer: S.Prishchepionok MSC: 17B35 22E47 17B20 17B40 PDF BibTeX XML
Kato, Shin-ichi Spherical functions and a \(q\)-analogue of Kostant’s weight multiplicity formula. (English) Zbl 0498.17005 Invent. Math. 66, 461-468 (1982). Reviewer: Wim H. Hesselink MSC: 17B10 17B20 17B22 20C08 22E47 05A19 43A90 PDF BibTeX XML Cite \textit{S.-i. Kato}, Invent. Math. 66, 461--468 (1982; Zbl 0498.17005) Full Text: DOI EuDML
Gabber, O.; Joseph, A. Towards the Kazhdan-Lusztig conjecture. (English) Zbl 0476.17005 Ann. Sci. Éc. Norm. Supér. (4) 14, 261-302 (1981). MSC: 17B35 17B55 17B10 22E47 PDF BibTeX XML Cite \textit{O. Gabber} and \textit{A. Joseph}, Ann. Sci. Éc. Norm. Supér. (4) 14, 261--302 (1981; Zbl 0476.17005) Full Text: DOI Numdam EuDML