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
Libedinsky, Nicolas; Williamson, Geordie Kazhdan-Lusztig polynomials and subexpressions. (English) Zbl 07285335 J. Algebra 568, 181-192 (2021). Reviewer: Enrico Jabara (Venezia) MSC: 20F55 20C08 PDF BibTeX XML Cite \textit{N. Libedinsky} and \textit{G. Williamson}, J. Algebra 568, 181--192 (2021; Zbl 07285335) Full Text: DOI
Caselli, Fabrizio; Marietti, Mario Pircon kernels and up-down symmetry. (English) Zbl 1448.05221 J. Algebra 565, 324-352 (2021). MSC: 05E16 20F55 PDF BibTeX XML Cite \textit{F. Caselli} and \textit{M. Marietti}, J. Algebra 565, 324--352 (2021; Zbl 1448.05221) Full Text: DOI
Mazorchuk, Volodymyr; Mrđen, Rafael BGG complexes in singular blocks of category \(\mathcal{O}\). (English) Zbl 07299918 J. Pure Appl. Algebra 224, No. 12, Article ID 106449, 25 p. (2020). MSC: 17B10 17B55 PDF BibTeX XML Cite \textit{V. Mazorchuk} and \textit{R. Mrđen}, J. Pure Appl. Algebra 224, No. 12, Article ID 106449, 25 p. (2020; Zbl 07299918) Full Text: DOI
Lübeck, Frank Computation of Kazhdan-Lusztig polynomials and some applications to finite groups. (English) Zbl 1444.20027 Trans. Am. Math. Soc. 373, No. 4, 2331-2347 (2020). Reviewer: Christopher P. Bendel (Menomonie) MSC: 20F55 20C08 20E28 20G05 20G10 20J06 PDF BibTeX XML Cite \textit{F. Lübeck}, Trans. Am. Math. Soc. 373, No. 4, 2331--2347 (2020; Zbl 1444.20027) Full Text: DOI
Nguyen, Van Minh Type \(A\) admissible cells are Kazhdan-Lusztig. (English) Zbl 07169933 Algebr. Comb. 3, No. 1, 55-105 (2020). MSC: 05E10 20C08 PDF BibTeX XML Cite \textit{V. M. Nguyen}, Algebr. Comb. 3, No. 1, 55--105 (2020; Zbl 07169933) Full Text: DOI
Braden, Tom; Vysogorets, Artem Kazhdan-Lusztig polynomials under deletion. (English) Zbl 1431.05150 Electron. J. Comb. 27, No. 1, Research Paper P1.17, 17 p. (2020). MSC: 05E10 05B35 52B40 05C31 PDF BibTeX XML Cite \textit{T. Braden} and \textit{A. Vysogorets}, Electron. J. Comb. 27, No. 1, Research Paper P1.17, 17 p. (2020; Zbl 1431.05150) Full Text: Link
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
Marietti, Mario Kazhdan-Lusztig \(R\)-polynomials for pircons. (English) Zbl 1416.05301 J. Algebra 534, 245-272 (2019). MSC: 05E15 20F55 PDF BibTeX XML Cite \textit{M. Marietti}, J. Algebra 534, 245--272 (2019; Zbl 1416.05301) Full Text: DOI
Espinoza, Jorge; Plaza, David Blob algebra and two-color Soergel calculus. (English) Zbl 07076015 J. Pure Appl. Algebra 223, No. 11, 4708-4745 (2019). MSC: 20F55 20C08 PDF BibTeX XML Cite \textit{J. Espinoza} and \textit{D. Plaza}, J. Pure Appl. Algebra 223, No. 11, 4708--4745 (2019; Zbl 07076015) Full Text: DOI
Recupero, Francesco Parabolic Kazhdan-Lusztig polynomials of type \(-1\) for quasi-minuscule quotients. (English) Zbl 1400.05269 J. Comb. Theory, Ser. A 161, 327-358 (2019). MSC: 05E10 05E15 20F55 PDF BibTeX XML Cite \textit{F. Recupero}, J. Comb. Theory, Ser. A 161, 327--358 (2019; Zbl 1400.05269) Full Text: DOI
Lapid, Erez Conjectures about certain parabolic Kazhdan-Lusztig polynomials. (English) Zbl 1421.22010 Müller, Werner (ed.) et al., Geometric aspects of the trace formula. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 10–16, 2016. Cham: Springer. Simons Symp., 267-297 (2018). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 22E50 11F70 20G25 PDF BibTeX XML Cite \textit{E. Lapid}, in: Geometric aspects of the trace formula. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 10--16, 2016. Cham: Springer. 267--297 (2018; Zbl 1421.22010) Full Text: DOI
Marietti, Mario The combinatorial invariance conjecture for parabolic Kazhdan-Lusztig polynomials of lower intervals. (English) Zbl 06929149 Adv. Math. 335, 180-210 (2018). MSC: 20F55 05E99 PDF BibTeX XML Cite \textit{M. Marietti}, Adv. Math. 335, 180--210 (2018; Zbl 06929149) Full Text: DOI arXiv
Abdallah, Nancy; Hultman, Axel Combinatorial invariance of Kazhdan-Lusztig-Vogan polynomials for fixed point free involutions. (English) Zbl 1402.05217 J. Algebr. Comb. 47, No. 4, 543-560 (2018). Reviewer: David Grabiner (Columbia) MSC: 05E15 20F55 PDF BibTeX XML Cite \textit{N. Abdallah} and \textit{A. Hultman}, J. Algebr. Comb. 47, No. 4, 543--560 (2018; Zbl 1402.05217) Full Text: DOI
Ehrig, Michael; Stroppel, Catharina Nazarov-Wenzl algebras, coideal subalgebras and categorified skew Howe duality. (English) Zbl 1432.16022 Adv. Math. 331, 58-142 (2018). MSC: 16S50 17B10 PDF BibTeX XML Cite \textit{M. Ehrig} and \textit{C. Stroppel}, Adv. Math. 331, 58--142 (2018; Zbl 1432.16022) Full Text: DOI arXiv
Proudfoot, Nicholas; Xu, Yuan; Young, Ben The \(Z\)-polynomial of a matroid. (English) Zbl 1380.05022 Electron. J. Comb. 25, No. 1, Research Paper P1.26, 21 p. (2018). MSC: 05B35 52B40 55N33 11B83 12D10 PDF BibTeX XML Cite \textit{N. Proudfoot} et al., Electron. J. Comb. 25, No. 1, Research Paper P1.26, 21 p. (2018; Zbl 1380.05022) Full Text: Link
Gedeon, Katie R. Kazhdan-Lusztig polynomials of thagomizer matroids. (English) Zbl 1369.05029 Electron. J. Comb. 24, No. 3, Research Paper P3.12, 10 p. (2017). MSC: 05B35 05A15 20C30 52B40 PDF BibTeX XML Cite \textit{K. R. Gedeon}, Electron. J. Comb. 24, No. 3, Research Paper P3.12, 10 p. (2017; Zbl 1369.05029) Full Text: Link arXiv
Gedeon, Katie; Proudfoot, Nicholas; Young, Benjamin The equivariant Kazhdan-Lusztig polynomial of a matroid. (English) Zbl 1362.05131 J. Comb. Theory, Ser. A 150, 267-294 (2017). MSC: 05E10 05B35 52B40 05E05 14N15 PDF BibTeX XML Cite \textit{K. Gedeon} et al., J. Comb. Theory, Ser. A 150, 267--294 (2017; Zbl 1362.05131) Full Text: DOI
Naito, Satoshi; Watanabe, Hideya A combinatorial formula expressing periodic \(R\)-polynomials. (English) Zbl 1355.05277 J. Comb. Theory, Ser. A 148, 197-243 (2017). MSC: 05E15 22E47 14L30 20F55 20G15 20G05 PDF BibTeX XML Cite \textit{S. Naito} and \textit{H. Watanabe}, J. Comb. Theory, Ser. A 148, 197--243 (2017; Zbl 1355.05277) Full Text: DOI
Plaza, David Graded cellularity and the monotonicity conjecture. (English) Zbl 1371.20005 J. Algebra 473, 324-351 (2017). Reviewer: Hu Jun (Beijing) MSC: 20C08 20F55 16G30 PDF BibTeX XML Cite \textit{D. Plaza}, J. Algebra 473, 324--351 (2017; Zbl 1371.20005) Full Text: DOI arXiv
Caselli, Fabrizio; Marietti, Mario Special matchings in Coxeter groups. (English) Zbl 1352.05190 Eur. J. Comb. 61, 151-166 (2017). MSC: 05E15 20F55 PDF BibTeX XML Cite \textit{F. Caselli} and \textit{M. Marietti}, Eur. J. Comb. 61, 151--166 (2017; Zbl 1352.05190) Full Text: DOI arXiv
Fan, Neil J. Y.; Guo, Peter L.; Zhang, Grace L. D. On parabolic Kazhdan-Lusztig \(R\)-polynomials for the symmetric group. (English) Zbl 1347.20012 J. Pure Appl. Algebra 221, No. 1, 237-250 (2017). MSC: 20C30 05E10 20F55 20C08 PDF BibTeX XML Cite \textit{N. J. Y. Fan} et al., J. Pure Appl. Algebra 221, No. 1, 237--250 (2017; Zbl 1347.20012) Full Text: DOI arXiv
Williamson, Geordie Local Hodge theory of Soergel bimodules. (English) Zbl 1380.20006 Acta Math. 217, No. 2, 341-404 (2016). Reviewer: Enrico Jabara (Venezia) MSC: 20C08 20F55 14M15 PDF BibTeX XML Cite \textit{G. Williamson}, Acta Math. 217, No. 2, 341--404 (2016; Zbl 1380.20006) Full Text: DOI arXiv
Elias, Ben; Williamson, Geordie Kazhdan-Lusztig conjectures and shadows of Hodge theory. (English) Zbl 1367.20002 Ballmann, Werner (ed.) et al., Arbeitstagung Bonn 2013. In memory of Friedrich Hirzebruch. Proceedings of the meeting, Bonn, Germany, May, 22–28, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-319-43646-3/hbk; 978-3-319-43648-7/ebook). Progress in Mathematics 319, 105-126 (2016). Reviewer: Enrico Jabara (Venezia) MSC: 20C08 20F55 14M15 PDF BibTeX XML Cite \textit{B. Elias} and \textit{G. Williamson}, Prog. Math. 319, 105--126 (2016; Zbl 1367.20002) Full Text: DOI arXiv
Telloni, Agnese Ilaria Special matchings calculate the parabolic Kazhdan-Lusztig polynomials of the universal Coxeter groups. (English) Zbl 1343.05171 J. Algebra 465, 21-40 (2016). MSC: 05E15 20F55 PDF BibTeX XML Cite \textit{A. I. Telloni}, J. Algebra 465, 21--40 (2016; Zbl 1343.05171) Full Text: DOI
Plaza, David Categorification of a recursive formula for Kazhdan-Lusztig polynomials. (English) Zbl 1343.05166 Commun. Algebra 44, No. 10, 4354-4377 (2016). MSC: 05E10 16D90 PDF BibTeX XML Cite \textit{D. Plaza}, Commun. Algebra 44, No. 10, 4354--4377 (2016; Zbl 1343.05166) Full Text: DOI arXiv
Marietti, Mario Special matchings and parabolic Kazhdan-Lusztig polynomials. (English) Zbl 1331.05232 Trans. Am. Math. Soc. 368, No. 7, 5247-5269 (2016). MSC: 05E15 20F55 PDF BibTeX XML Cite \textit{M. Marietti}, Trans. Am. Math. Soc. 368, No. 7, 5247--5269 (2016; Zbl 1331.05232) Full Text: DOI arXiv
Howlett, Robert B.; Nguyen, Van Minh \(W\)-graph ideals and biideals. (English) Zbl 1333.05316 J. Algebr. Comb. 43, No. 1, 237-275 (2016). MSC: 05E10 05C25 20F55 20C08 PDF BibTeX XML Cite \textit{R. B. Howlett} and \textit{V. M. Nguyen}, J. Algebr. Comb. 43, No. 1, 237--275 (2016; Zbl 1333.05316) Full Text: DOI arXiv
Sentinelli, Paolo Parabolic Temperley-Lieb modules and polynomials. (English) Zbl 1387.20031 J. Comb. Theory, Ser. A 138, 1-28 (2016). MSC: 20F55 20C08 05E15 PDF BibTeX XML Cite \textit{P. Sentinelli}, J. Comb. Theory, Ser. A 138, 1--28 (2016; Zbl 1387.20031) Full Text: DOI
Scott, Leonard L.; Sprowl, Timothy Computing individual Kazhdan-Lusztig basis elements. (English) Zbl 1321.20008 J. Symb. Comput. 73, 244-249 (2015). MSC: 20C08 20F55 20G05 20G10 68W30 PDF BibTeX XML Cite \textit{L. L. Scott} and \textit{T. Sprowl}, J. Symb. Comput. 73, 244--249 (2016; Zbl 1321.20008) Full Text: DOI arXiv
Williamson, Geordie A reducible characteristic variety in type \(A\). (English) Zbl 1344.22006 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, 517-532 (2015). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E47 55N33 14F10 14M15 PDF BibTeX XML Cite \textit{G. Williamson}, Prog. Math. 312, 517--532 (2015; Zbl 1344.22006) Full Text: DOI arXiv
Tsukerman, E.; Williams, L. Bruhat interval polytopes. (English) Zbl 1323.05010 Adv. Math. 285, 766-810 (2015). MSC: 05A05 05B35 52B40 37K20 PDF BibTeX XML Cite \textit{E. Tsukerman} and \textit{L. Williams}, Adv. Math. 285, 766--810 (2015; Zbl 1323.05010) Full Text: DOI
Chmutov, Michael; Hoyt, Crystal; Reif, Shifra The Kac-Wakimoto character formula for the general linear Lie superalgebra. (English) Zbl 1362.17011 Algebra Number Theory 9, No. 6, 1419-1452 (2015). MSC: 17B10 17B20 22E47 PDF BibTeX XML Cite \textit{M. Chmutov} et al., Algebra Number Theory 9, No. 6, 1419--1452 (2015; Zbl 1362.17011) Full Text: DOI arXiv
Lambright, Justin; Taylor, Courtney K. A generalized class of modified \(R\)-polynomials. (English) Zbl 1326.05172 Australas. J. Comb. 62, Part 3, 228-239 (2015). MSC: 05E15 20F55 PDF BibTeX XML Cite \textit{J. Lambright} and \textit{C. K. Taylor}, Australas. J. Comb. 62, Part 3, 228--239 (2015; Zbl 1326.05172) Full Text: Link
Sentinelli, Paolo Complements of Coxeter group quotients. (English) Zbl 1332.20043 J. Algebr. Comb. 41, No. 3, 727-750 (2015). MSC: 20F55 20C08 06A07 PDF BibTeX XML Cite \textit{P. Sentinelli}, J. Algebr. Comb. 41, No. 3, 727--750 (2015; Zbl 1332.20043) Full Text: DOI
Lanini, Martina On the stable moment graph of an affine Kac-Moody algebra. (English) Zbl 1310.05216 Trans. Am. Math. Soc. 367, No. 6, 4111-4156 (2015). MSC: 05E10 17B67 20C08 20G15 20G05 PDF BibTeX XML Cite \textit{M. Lanini}, Trans. Am. Math. Soc. 367, No. 6, 4111--4156 (2015; Zbl 1310.05216) Full Text: DOI arXiv
Blasiak, Jonah Nonstandard braid relations and Chebyshev polynomials. (English) Zbl 1329.20003 J. Algebra 423, 375-404 (2015). MSC: 20C08 16G20 05E10 33D80 PDF BibTeX XML Cite \textit{J. Blasiak}, J. Algebra 423, 375--404 (2015; Zbl 1329.20003) Full Text: DOI arXiv
Enright, Thomas J.; Hunziker, Markus; Pruett, W. Andrew Diagrams of Hermitian type, highest weight modules, and syzygies of determinantal varieties. (English) Zbl 1314.22007 Howe, Roger E. (ed.) et al., Symmetry: representation theory and its applications. In honor of Nolan R. Wallach. New York, NY: Birkhäuser/Springer (ISBN 978-1-4939-1589-7/hbk; 978-1-4939-1590-3/ebook). Progress in Mathematics 257, 121-184 (2014). Reviewer: Panagiotis Batakidis (State College) MSC: 22E47 17B10 13D02 PDF BibTeX XML Cite \textit{T. J. Enright} et al., Prog. Math. 257, 121--184 (2014; Zbl 1314.22007) Full Text: DOI
Elias, Ben; Williamson, Geordie The Hodge theory of Soergel bimodules. (English) Zbl 1326.20005 Ann. Math. (2) 180, No. 3, 1089-1136 (2014). Reviewer: Shi Jian-yi (Shanghai) MSC: 20C08 20F55 PDF BibTeX XML Cite \textit{B. Elias} and \textit{G. Williamson}, Ann. Math. (2) 180, No. 3, 1089--1136 (2014; Zbl 1326.20005) Full Text: DOI arXiv
Marberg, Eric Positivity conjectures for Kazhdan-Lusztig theory on twisted involutions: the universal case. (English) Zbl 1307.20007 Represent. Theory 18, 88-116 (2014). MSC: 20C08 20F55 05E15 PDF BibTeX XML Cite \textit{E. Marberg}, Represent. Theory 18, 88--116 (2014; Zbl 1307.20007) Full Text: DOI arXiv
Marberg, Eric Positivity conjectures for Kazhdan-Lusztig theory on twisted involutions: the finite case. (English) Zbl 1307.20006 J. Algebra 413, 198-225 (2014). MSC: 20C08 20F55 05E15 PDF BibTeX XML Cite \textit{E. Marberg}, J. Algebra 413, 198--225 (2014; Zbl 1307.20006) Full Text: DOI arXiv
Sentinelli, Paolo Isomorphisms of Hecke modules and parabolic Kazhdan-Lusztig polynomials. (English) Zbl 1327.20044 J. Algebra 403, 1-18 (2014). MSC: 20F55 20C08 PDF BibTeX XML Cite \textit{P. Sentinelli}, J. Algebra 403, 1--18 (2014; Zbl 1327.20044) Full Text: DOI
Mongelli, Pietro Kazhdan-Lusztig polynomials of Boolean elements. (English) Zbl 1292.05271 J. Algebr. Comb. 39, No. 2, 497-525 (2014). MSC: 05E15 20F55 14N15 20C08 PDF BibTeX XML Cite \textit{P. Mongelli}, J. Algebr. Comb. 39, No. 2, 497--525 (2014; Zbl 1292.05271) Full Text: DOI
Silva, Manuel; Freitas, Pedro J. Group \(E_8\) superstar. (Portuguese) Zbl 1388.22001 Gaz. Mat., Lisb. 171, 32-34 (2013). Reviewer: Marian Deaconescu (Safat) MSC: 22-03 22E45 01A61 20G05 20F55 PDF BibTeX XML Cite \textit{M. Silva} and \textit{P. J. Freitas}, Gaz. Mat., Lisb. 171, 32--34 (2013; Zbl 1388.22001)
Andersen, Henning Haahr The rôle of Verma in representation theory. (English) Zbl 1379.17005 Bhatia, Rajendra (ed.) et al., Connected at infinity II. A selection of mathematics by Indians. New Delhi: Hindustan Book Agency (ISBN 978-93-80250-51-9/hbk). Texts and Readings in Mathematics 67, 152-172 (2013). Reviewer: Panagiotis Batakidis (State College) MSC: 17B10 20G05 PDF BibTeX XML Cite \textit{H. H. Andersen}, Texts Read. Math. 67, 152--172 (2013; Zbl 1379.17005)
Mongelli, Pietro Kazhdan-Lusztig polynomials of Boolean elements. (English) Zbl 1297.20040 Proceedings of the 25th international conference on formal power series and algebraic combinatorics, FPSAC 2013, Paris, France, June 24–28, 2013. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 587-598, electronic only (2013). MSC: 20F55 05E15 20C08 PDF BibTeX XML Cite \textit{P. Mongelli}, in: Proceedings of the 25th international conference on formal power series and algebraic combinatorics, FPSAC 2013, Paris, France, June 24--28, 2013. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 587--598 (2013; Zbl 1297.20040) Full Text: Link arXiv
Lusztig, George; Yun, Zhiwei A \((-q)\)-analogue of weight multiplicities. (English) Zbl 1295.20046 J. Ramanujan Math. Soc. 28A, Spec. Iss., 311-340 (2013). MSC: 20G05 20F55 20C08 14D24 PDF BibTeX XML Cite \textit{G. Lusztig} and \textit{Z. Yun}, J. Ramanujan Math. Soc. 28A, 311--340 (2013; Zbl 1295.20046) Full Text: arXiv
Pesiri, Alfonso Combinatorial properties of the Temperley-Lieb algebra of a Coxeter group. (English) Zbl 1292.20043 J. Algebr. Comb. 37, No. 4, 717-736 (2013). Reviewer: Shi Jian-yi (Shanghai) MSC: 20F55 20C08 05E15 PDF BibTeX XML Cite \textit{A. Pesiri}, J. Algebr. Comb. 37, No. 4, 717--736 (2013; Zbl 1292.20043) Full Text: DOI arXiv
Jones, Brant; Woo, Alexander Mask formulas for cograssmannian Kazhdan-Lusztig polynomials. (English) Zbl 1286.20003 Ann. Comb. 17, No. 1, 151-203 (2013). MSC: 20C08 05E15 14M15 PDF BibTeX XML Cite \textit{B. Jones} and \textit{A. Woo}, Ann. Comb. 17, No. 1, 151--203 (2013; Zbl 1286.20003) Full Text: DOI arXiv
Kobayashi, Masato Inequalities on Bruhat graphs, R- and Kazhdan-Lusztig polynomials. (English) Zbl 1292.05269 J. Comb. Theory, Ser. A 120, No. 2, 470-482 (2013). MSC: 05E15 PDF BibTeX XML Cite \textit{M. Kobayashi}, J. Comb. Theory, Ser. A 120, No. 2, 470--482 (2013; Zbl 1292.05269) Full Text: DOI arXiv
Lanini, Martina Moment graphs and Kazhdan-Lusztig polynomials. (English. French summary) Zbl 1412.05216 Proceedings of the 24th international conference on formal power series and algebraic combinatorics, FPSAC 2012, Nagoya, Japan, July 30–August 3, 2012. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 491-502 (2012). MSC: 05E15 05C99 14M15 14F05 PDF BibTeX XML Cite \textit{M. Lanini}, in: Proceedings of the 24th international conference on formal power series and algebraic combinatorics, FPSAC 2012, Nagoya, Japan, July 30--August 3, 2012. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 491--502 (2012; Zbl 1412.05216) Full Text: Link
Geck, Meinolf \(\mathsf{PyCox}\): computing with (finite) Coxeter groups and Iwahori-Hecke algebras. (English) Zbl 1296.20009 LMS J. Comput. Math. 15, 231-256 (2012). MSC: 20C40 20C08 20F55 68W30 PDF BibTeX XML Cite \textit{M. Geck}, LMS J. Comput. Math. 15, 231--256 (2012; Zbl 1296.20009) Full Text: DOI arXiv
Lanini, Martina Kazhdan-Lusztig combinatorics in the moment graph setting. (English) Zbl 1311.14025 J. Algebra 370, 152-170 (2012). Reviewer: Benjamin Schmidt (Columbus) MSC: 14F43 05E10 20F55 17B67 20C08 PDF BibTeX XML Cite \textit{M. Lanini}, J. Algebra 370, 152--170 (2012; Zbl 1311.14025) Full Text: DOI arXiv
Lusztig, George; Vogan, David A. jun. Hecke algebras and involutions in Weyl groups. (English) Zbl 1288.20006 Bull. Inst. Math., Acad. Sin. (N.S.) 7, No. 3, 323-354 (2012). Reviewer: Hu Jun (Sydney) MSC: 20C08 20G40 20F55 20G05 PDF BibTeX XML Cite \textit{G. Lusztig} and \textit{D. A. Vogan jun.}, Bull. Inst. Math., Acad. Sin. (N.S.) 7, No. 3, 323--354 (2012; Zbl 1288.20006)
Shigechi, Keiichi; Zinn-Justin, Paul Path representation of maximal parabolic Kazhdan-Lusztig polynomials. (English) Zbl 1262.20006 J. Pure Appl. Algebra 216, No. 11, 2533-2548 (2012). MSC: 20C08 05E15 20C30 PDF BibTeX XML Cite \textit{K. Shigechi} and \textit{P. Zinn-Justin}, J. Pure Appl. Algebra 216, No. 11, 2533--2548 (2012; Zbl 1262.20006) Full Text: DOI
Ernst, Dana C. Diagram calculus for a type affine \(C\) Temperley-Lieb algebra. I. (English) Zbl 1266.20003 J. Pure Appl. Algebra 216, No. 11, 2467-2488 (2012). MSC: 20C08 20F55 16G30 57M15 PDF BibTeX XML Cite \textit{D. C. Ernst}, J. Pure Appl. Algebra 216, No. 11, 2467--2488 (2012; Zbl 1266.20003) Full Text: DOI arXiv
Nguyen, Van Minh W-graph ideals. II. (English) Zbl 1271.20003 J. Algebra 361, 248-263 (2012). Reviewer: Shi Jian-yi (Shanghai) MSC: 20C08 20F55 05E10 PDF BibTeX XML Cite \textit{V. M. Nguyen}, J. Algebra 361, 248--263 (2012; Zbl 1271.20003) Full Text: DOI arXiv
Howlett, Robert B.; Nguyen, Van Minh \(W\)-graph ideals. (English) Zbl 1271.20002 J. Algebra 361, 188-212 (2012). Reviewer: Shi Jian-yi (Shanghai) MSC: 20C08 20F55 05E10 PDF BibTeX XML Cite \textit{R. B. Howlett} and \textit{V. M. Nguyen}, J. Algebra 361, 188--212 (2012; Zbl 1271.20002) Full Text: DOI
Parshall, Brian J.; Scott, Leonard L. Cohomological growth rates and Kazhdan-Lusztig polynomials. (English) Zbl 1260.20067 Isr. J. Math. 191, Part A, 85-110 (2012). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 20G10 20G40 20G42 PDF BibTeX XML Cite \textit{B. J. Parshall} and \textit{L. L. Scott}, Isr. J. Math. 191, Part A, 85--110 (2012; Zbl 1260.20067) Full Text: DOI arXiv
Su, Yucai; Zhang, R. B. Generalised Jantzen filtration of Lie superalgebras. I. (English) Zbl 1295.17008 J. Eur. Math. Soc. (JEMS) 14, No. 4, 1103-1133 (2012). MSC: 17B10 PDF BibTeX XML Cite \textit{Y. Su} and \textit{R. B. Zhang}, J. Eur. Math. Soc. (JEMS) 14, No. 4, 1103--1133 (2012; Zbl 1295.17008) Full Text: DOI arXiv
Shan, Peng Graded decomposition matrices of \(v\)-Schur algebras via Jantzen filtration. (English) Zbl 1284.20050 Represent. Theory 16, 212-269 (2012). MSC: 20G05 20G43 20C20 17B37 81R50 PDF BibTeX XML Cite \textit{P. Shan}, Represent. Theory 16, 212--269 (2012; Zbl 1284.20050) Full Text: DOI arXiv
Hultman, Axel Criteria for rational smoothness of some symmetric orbit closures. (English) Zbl 1248.20050 Adv. Math. 229, No. 1, 183-200 (2012). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 20G20 20F55 14M15 14L30 14B05 20G10 05E15 PDF BibTeX XML Cite \textit{A. Hultman}, Adv. Math. 229, No. 1, 183--200 (2012; Zbl 1248.20050) Full Text: DOI arXiv
de Gier, Jan; Lascoux, Alain; Sorrell, Mark Deformed Kazhdan-Lusztig elements and Macdonald polynomials. (English) Zbl 1232.05232 J. Comb. Theory, Ser. A 119, No. 1, 183-211 (2012). MSC: 05E05 20C08 33D52 PDF BibTeX XML Cite \textit{J. de Gier} et al., J. Comb. Theory, Ser. A 119, No. 1, 183--211 (2012; Zbl 1232.05232) Full Text: DOI arXiv
Warrington, Gregory S. Equivalence classes for the \(\mu\)-coefficient of Kazhdan-Lusztig polynomials in \(S_n\). (English) Zbl 1263.05118 Exp. Math. 20, No. 4, 457-466 (2011). MSC: 05E10 20F55 PDF BibTeX XML Cite \textit{G. S. Warrington}, Exp. Math. 20, No. 4, 457--466 (2011; Zbl 1263.05118) Full Text: DOI Euclid arXiv
Billera, Louis J.; Brenti, Francesco Quasisymmetric functions and Kazhdan-Lusztig polynomials. (English) Zbl 1269.20030 Isr. J. Math. 184, 317-348 (2011). MSC: 20F55 05E05 06A11 52B05 20C08 PDF BibTeX XML Cite \textit{L. J. Billera} and \textit{F. Brenti}, Isr. J. Math. 184, 317--348 (2011; Zbl 1269.20030) Full Text: DOI arXiv
Li, Li; Yong, Alexander Kazhdan-Lusztig polynomials and drift configurations. (English) Zbl 1273.14100 Algebra Number Theory 5, No. 5, 595-626 (2011). MSC: 14M15 05E15 20F55 13D40 20C08 PDF BibTeX XML Cite \textit{L. Li} and \textit{A. Yong}, Algebra Number Theory 5, No. 5, 595--626 (2011; Zbl 1273.14100) Full Text: DOI Link arXiv
Brenti, Francesco Parabolic Kazhdan-Lusztig \(R\)-polynomials for tight quotients of the symmetric groups. (English) Zbl 1256.20039 J. Algebra 347, No. 1, 247-261 (2011). Reviewer: Stuart Martin (Cambridge) MSC: 20F55 05E15 20C30 20C08 05A05 05A15 PDF BibTeX XML Cite \textit{F. Brenti}, J. Algebra 347, No. 1, 247--261 (2011; Zbl 1256.20039) Full Text: DOI
Cox, Anton; De Visscher, Maud Diagrammatic Kazhdan-Lusztig theory for the (walled) Brauer algebra. (English) Zbl 1269.20037 J. Algebra 340, No. 1, 151-181 (2011). MSC: 20G05 20C08 20C30 05E10 16G20 PDF BibTeX XML Cite \textit{A. Cox} and \textit{M. De Visscher}, J. Algebra 340, No. 1, 151--181 (2011; Zbl 1269.20037) Full Text: DOI arXiv
Yin, Yunchuan Inducing \(W\)-graphs for symmetric groups. (English) Zbl 1229.20006 Int. J. Algebra Comput. 21, No. 6, 961-972 (2011). MSC: 20C08 20C30 20C40 05E10 PDF BibTeX XML Cite \textit{Y. Yin}, Int. J. Algebra Comput. 21, No. 6, 961--972 (2011; Zbl 1229.20006) Full Text: DOI
Brenti, Francesco; Incitti, Federico; Marietti, Mario Kazhdan-Lusztig polynomials, tight quotients and Dyck superpartitions. (English) Zbl 1251.20005 Adv. Appl. Math. 47, No. 3, 589-614 (2011). Reviewer: Shi Jian-yi (Shanghai) MSC: 20C08 20C30 05E15 20F55 PDF BibTeX XML Cite \textit{F. Brenti} et al., Adv. Appl. Math. 47, No. 3, 589--614 (2011; Zbl 1251.20005) Full Text: DOI
Libedinsky, Nicolas New bases of some Hecke algebras via Soergel bimodules. (English) Zbl 1243.20007 Adv. Math. 228, No. 2, 1043-1067 (2011). MSC: 20C08 20F55 PDF BibTeX XML Cite \textit{N. Libedinsky}, Adv. Math. 228, No. 2, 1043--1067 (2011; Zbl 1243.20007) Full Text: DOI arXiv
Wang, Liping Kazhdan-Lusztig coefficients for an affine Weyl group of type \(\widetilde B_2\). (English) Zbl 1242.20051 J. Algebra 330, No. 1, 22-47 (2011). Reviewer: Shi Jian-yi (Shanghai) MSC: 20F55 20C08 05E15 PDF BibTeX XML Cite \textit{L. Wang}, J. Algebra 330, No. 1, 22--47 (2011; Zbl 1242.20051) Full Text: DOI
Morel, Sophie Note on the Kazhdan-Lusztig polynomials. (Note sur les polynômes de Kazhdan-Lusztig.) (French. English summary) Zbl 1233.20005 Math. Z. 268, No. 1-2, 593-600 (2011). MSC: 20C08 20F55 05E10 14G35 14F20 PDF BibTeX XML Cite \textit{S. Morel}, Math. Z. 268, No. 1--2, 593--600 (2011; Zbl 1233.20005) Full Text: DOI
Lam, Ngau; Zhang, R. B. \(\mathfrak u\)-cohomology formula for unitarizable modules over general linear superalgebras. (English) Zbl 1261.17020 J. Algebra 327, No. 1, 50-70 (2011). MSC: 17B56 17B10 PDF BibTeX XML Cite \textit{N. Lam} and \textit{R. B. Zhang}, J. Algebra 327, No. 1, 50--70 (2011; Zbl 1261.17020) Full Text: DOI
Fiebig, Peter Sheaves on affine Schubert varieties, modular representations, and Lusztig’s conjecture. (English) Zbl 1270.20053 J. Am. Math. Soc. 24, No. 1, 133-181 (2011). MSC: 20G05 17B37 17B67 20G10 14M15 20C08 20C20 55N30 PDF BibTeX XML Cite \textit{P. Fiebig}, J. Am. Math. Soc. 24, No. 1, 133--181 (2011; Zbl 1270.20053) Full Text: DOI arXiv
Parshall, Brian J.; Scott, Leonard L. Bounding Ext for modules for algebraic groups, finite groups and quantum groups. (English) Zbl 1234.20056 Adv. Math. 226, No. 3, 2065-2088 (2011). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 20G10 20G40 20C33 20G15 20G42 PDF BibTeX XML Cite \textit{B. J. Parshall} and \textit{L. L. Scott}, Adv. Math. 226, No. 3, 2065--2088 (2011; Zbl 1234.20056) Full Text: DOI arXiv
Cox, Anton; De Visscher, Maud; Martin, Paul Alcove geometry and a translation principle for the Brauer algebra. (English) Zbl 1269.20038 J. Pure Appl. Algebra 215, No. 4, 335-367 (2011). MSC: 20G05 20C08 20C30 17B10 05E10 16G20 PDF BibTeX XML Cite \textit{A. Cox} et al., J. Pure Appl. Algebra 215, No. 4, 335--367 (2011; Zbl 1269.20038) Full Text: DOI arXiv
Lambright, Justin; Skandera, Mark Combinatorial formulas for double parabolic \(R\)-polynomials. (English. French summary) Zbl 1374.05240 Proceedings of the 22nd annual international conference on formal power series and algebraic combinatorics, FPSAC 2010, San Francisco, USA, August 2–6, 2010. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 857-868 (2010). MSC: 05E15 17B37 PDF BibTeX XML Cite \textit{J. Lambright} and \textit{M. Skandera}, in: Proceedings of the 22nd annual international conference on formal power series and algebraic combinatorics, FPSAC 2010, San Francisco, USA, August 2--6, 2010. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 857--868 (2010; Zbl 1374.05240) Full Text: Link
Scott, Leonard; Xi, Nanhua Some non-trivial Kazhdan-Lusztig coefficients of an affine Weyl group of type \(\widetilde A_n\). (English) Zbl 1225.20003 Sci. China, Math. 53, No. 8, 1919-1930 (2010). Reviewer: Shi Jian-yi (Shanghai) MSC: 20C08 20F55 20G05 20G10 PDF BibTeX XML Cite \textit{L. Scott} and \textit{N. Xi}, Sci. China, Math. 53, No. 8, 1919--1930 (2010; Zbl 1225.20003) Full Text: DOI arXiv
Cheng, Shun-Jen; Lam, Ngau Irreducible characters of general linear superalgebra and super duality. (English) Zbl 1217.17004 Commun. Math. Phys. 298, No. 3, 645-672 (2010). MSC: 17B10 17B20 17B22 17B55 PDF BibTeX XML Cite \textit{S.-J. Cheng} and \textit{N. Lam}, Commun. Math. Phys. 298, No. 3, 645--672 (2010; Zbl 1217.17004) Full Text: DOI arXiv
Alhaddad, S. I.; Douglass, J. Matthew Generic Hecke algebras for monomial groups. (English) Zbl 1233.20003 Represent. Theory 14, 688-712 (2010). Reviewer: Anne-Marie Aubert (Paris) MSC: 20C08 20F55 PDF BibTeX XML Cite \textit{S. I. Alhaddad} and \textit{J. M. Douglass}, Represent. Theory 14, 688--712 (2010; Zbl 1233.20003) Full Text: DOI
Aker, Kürşat; Can, Mahir Bilen; Taşkin, Müge \(R\)-polynomials of finite monoids of Lie type. (English) Zbl 1218.20045 Int. J. Algebra Comput. 20, No. 6, 793-805 (2010). Reviewer: Huang Wenxue (Scarborough) MSC: 20M32 20C08 20C33 20G40 PDF BibTeX XML Cite \textit{K. Aker} et al., Int. J. Algebra Comput. 20, No. 6, 793--805 (2010; Zbl 1218.20045) Full Text: DOI arXiv
Fiebig, Peter The multiplicity one case of Lusztig’s conjecture. (English) Zbl 1207.20040 Duke Math. J. 153, No. 3, 551-571 (2010). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 20G05 20C20 32S60 PDF BibTeX XML Cite \textit{P. Fiebig}, Duke Math. J. 153, No. 3, 551--571 (2010; Zbl 1207.20040) Full Text: DOI arXiv
Marietti, M. Parabolic Kazhdan-Lusztig and \(R\)-polynomials for Boolean elements in the symmetric group. (English) Zbl 1220.20005 Eur. J. Comb. 31, No. 3, 908-924 (2010). MSC: 20C08 05E15 20C30 20F55 PDF BibTeX XML Cite \textit{M. Marietti}, Eur. J. Comb. 31, No. 3, 908--924 (2010; Zbl 1220.20005) Full Text: DOI
Buehrle, Charles; Skandera, Mark Relations between the Clausen and Kazhdan-Lusztig representations of the symmetric group. (English) Zbl 1184.20013 J. Pure Appl. Algebra 214, No. 5, 689-700 (2010). MSC: 20C30 05E10 20C08 PDF BibTeX XML Cite \textit{C. Buehrle} and \textit{M. Skandera}, J. Pure Appl. Algebra 214, No. 5, 689--700 (2010; Zbl 1184.20013) Full Text: DOI
Woo, Alexander Permutations with Kazhdan-Lusztig polynomial \(P_{id,w}(q)=1+q^{h}\). (English. French summary) Zbl 1391.14100 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, 893-902 (2009). MSC: 14M15 05E15 20C08 PDF BibTeX XML Cite \textit{A. Woo}, 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). 893--902 (2009; Zbl 1391.14100) Full Text: Link
Jones, Brant C. Kazhdan-Lusztig polynomials for maximally-clustered hexagon-avoiding permutations. (English) Zbl 1210.20007 J. Algebra 322, No. 10, 3459-3477 (2009). MSC: 20C08 05A05 05A15 05E15 20F55 PDF BibTeX XML Cite \textit{B. C. Jones}, J. Algebra 322, No. 10, 3459--3477 (2009; Zbl 1210.20007) Full Text: DOI arXiv
Chen, Chengdong; Liu, Jiachun On certain distinguished involutions in the Weyl group of type \(B_n\). (English) Zbl 1186.20028 Algebra Colloq. 16, No. 4, 603-624 (2009). MSC: 20F55 20C08 20G05 05E15 PDF BibTeX XML Cite \textit{C. Chen} and \textit{J. Liu}, Algebra Colloq. 16, No. 4, 603--624 (2009; Zbl 1186.20028) Full Text: DOI Link
Yin, Yunchuan An inversion formula for \((J,\widehat J)\)-relative Kazhdan-Lusztig polynomials. (English) Zbl 1173.20003 Commun. Algebra 37, No. 8, 2907-2919 (2009). MSC: 20C08 20F55 PDF BibTeX XML Cite \textit{Y. Yin}, Commun. Algebra 37, No. 8, 2907--2919 (2009; Zbl 1173.20003) Full Text: DOI
Hague, Chuck Cohomology of flag varieties and the Brylinski-Kostant filtration. (English) Zbl 1183.20052 J. Algebra 321, No. 12, 3790-3815 (2009). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 20G10 20G05 14M15 PDF BibTeX XML Cite \textit{C. Hague}, J. Algebra 321, No. 12, 3790--3815 (2009; Zbl 1183.20052) Full Text: DOI arXiv
Green, R. M. Leading coefficients of Kazhdan-Lusztig polynomials and fully commutative elements. (English) Zbl 1173.20002 J. Algebr. Comb. 30, No. 2, 165-171 (2009). MSC: 20C08 20F55 05E15 PDF BibTeX XML Cite \textit{R. M. Green}, J. Algebr. Comb. 30, No. 2, 165--171 (2009; Zbl 1173.20002) Full Text: DOI arXiv
Green, R. M. On the Markov trace for Temperley-Lieb algebras of type \(E_n\). (English) Zbl 1210.20006 J. Knot Theory Ramifications 18, No. 2, 237-264 (2009). MSC: 20C08 20F55 57M25 PDF BibTeX XML Cite \textit{R. M. Green}, J. Knot Theory Ramifications 18, No. 2, 237--264 (2009; Zbl 1210.20006) Full Text: DOI
Jones, Brant C. Leading coefficients of Kazhdan-Lusztig polynomials for Deodhar elements. (English) Zbl 1228.20006 J. Algebr. Comb. 29, No. 2, 229-260 (2009). MSC: 20C08 05A05 05A15 05E15 20F55 PDF BibTeX XML Cite \textit{B. C. Jones}, J. Algebr. Comb. 29, No. 2, 229--260 (2009; Zbl 1228.20006) Full Text: DOI arXiv
Lecouvey, Cédric Parabolic Kazhdan-Lusztig polynomials, plethysm and generalized Hall-Littlewood functions for classical types. (English) Zbl 1247.05268 Eur. J. Comb. 30, No. 1, 157-191 (2009). MSC: 05E15 20G05 PDF BibTeX XML Cite \textit{C. Lecouvey}, Eur. J. Comb. 30, No. 1, 157--191 (2009; Zbl 1247.05268) Full Text: DOI
van Leeuwen, Marc Computing Kazhdan-Lusztig-Vogan polynomials for split \(E_8\). (Czech) Zbl 1265.17015 Pokroky Mat. Fyz. Astron. 53, No. 4, 315-321 (2008). MSC: 17B25 PDF BibTeX XML Cite \textit{M. van Leeuwen}, Pokroky Mat. Fyz. Astron. 53, No. 4, 315--321 (2008; Zbl 1265.17015)
Cheng, Shun-Jen; Wang, Weiqiang Brundan-Kazhdan-Lusztig and super duality conjectures. (English) Zbl 1210.17009 Publ. Res. Inst. Math. Sci. 44, No. 4, 1219-1272 (2008). MSC: 17B10 17B37 20C08 PDF BibTeX XML Cite \textit{S.-J. Cheng} and \textit{W. Wang}, Publ. Res. Inst. Math. Sci. 44, No. 4, 1219--1272 (2008; Zbl 1210.17009) Full Text: DOI arXiv
Guilhot, Jérémie On the lowest two-sided cell in affine Weyl groups. (English) Zbl 1161.20035 Represent. Theory 12, 327-345 (2008). MSC: 20F55 20C08 PDF BibTeX XML Cite \textit{J. Guilhot}, Represent. Theory 12, 327--345 (2008; Zbl 1161.20035) Full Text: DOI
Ciubotaru, Dan Multiplicity matrices for the affine graded Hecke algebra. (English) Zbl 1187.22015 J. Algebra 320, No. 11, 3950-3983 (2008). MSC: 22E50 20C08 PDF BibTeX XML Cite \textit{D. Ciubotaru}, J. Algebra 320, No. 11, 3950--3983 (2008; Zbl 1187.22015) Full Text: DOI arXiv
Jantzen, Jens Carsten Character formulae from Hermann Weyl to the present. (English) Zbl 1230.17005 Tent, Katrin (ed.), Groups and analysis. The legacy of Hermann Weyl. Based on the conference in honour of Hermann Weyl, Bielefeld, Germany, September 2006. Cambridge: Cambridge University Press (ISBN 978-0-521-71788-5/pbk). London Mathematical Society Lecture Note Series 354, 232-270 (2008). Reviewer: Olaf Ninnemann (Berlin) MSC: 17B10 17-03 17B37 17B67 PDF BibTeX XML Cite \textit{J. C. Jantzen}, Lond. Math. Soc. Lect. Note Ser. 354, 232--270 (2008; Zbl 1230.17005) Full Text: DOI
Su, Yucai Some results on finite dimensional representations of general linear Lie superalgebras. (English) Zbl 1215.17008 Ji, Lizhen (ed.) et al., Geometry, analysis and topology of discrete groups. Selected papers of the conference on geometry, topology and analysis of locally symmetric spaces and discrete groups, Beijing, China, July 17–August 4, 2006. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-126-1/hbk). Advanced Lectures in Mathematics (ALM) 6, 374-439 (2008). MSC: 17B10 17B56 PDF BibTeX XML Cite \textit{Y. Su}, in: Geometry, analysis and topology of discrete groups. Selected papers of the conference on geometry, topology and analysis of locally symmetric spaces and discrete groups, Beijing, China, July 17--August 4, 2006. Somerville, MA: International Press; Beijing: Higher Education Press. 374--439 (2008; Zbl 1215.17008)