Chapelier-Laget, Nathan A symmetric group action on the irreducible components of the Shi variety associated to \(W({\widetilde{a}}_n)\). (English) Zbl 1526.20054 J. Algebr. Comb. 58, No. 3, 717-739 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20F55 20G15 20H15 20G05 17B22 20F65 PDFBibTeX XMLCite \textit{N. Chapelier-Laget}, J. Algebr. Comb. 58, No. 3, 717--739 (2023; Zbl 1526.20054) Full Text: DOI arXiv
Fan, Zhaobing; Lai, Chun-Ju; Li, Yiqiang; Luo, Li; Wang, Weiqiang Affine Hecke algebras and quantum symmetric pairs. (English) Zbl 1512.17020 Memoirs of the American Mathematical Society 1386. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5626-9/pbk; 978-1-4704-7319-8/ebook). ix, 92 p. (2023). Reviewer: Hu Jun (Beijing) MSC: 17B37 20C08 20G42 20G43 PDFBibTeX XMLCite \textit{Z. Fan} et al., Affine Hecke algebras and quantum symmetric pairs. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1512.17020) Full Text: DOI arXiv
Cui, Weideng Cells in modified \(\imath\)quantum groups of type AIII and related Schur algebras. (English) Zbl 07648552 J. Algebra 619, 707-743 (2023). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B37 17B10 PDFBibTeX XMLCite \textit{W. Cui}, J. Algebra 619, 707--743 (2023; Zbl 07648552) Full Text: DOI arXiv
Parkinson, James; Yau, Yeeka Cone types, automata, and regular partitions in Coxeter groups. (English) Zbl 1515.20201 Adv. Math. 398, Article ID 108146, 66 p. (2022). MSC: 20F55 20F10 17B22 PDFBibTeX XMLCite \textit{J. Parkinson} and \textit{Y. Yau}, Adv. Math. 398, Article ID 108146, 66 p. (2022; Zbl 1515.20201) Full Text: DOI arXiv
Heidersdorf, Thorsten; Wenzl, Hans Generalized negligible morphisms and their tensor ideals. (English) Zbl 1478.18016 Sel. Math., New Ser. 28, No. 2, Paper No. 31, 39 p. (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 18M05 17B10 17B37 18M15 19D23 PDFBibTeX XMLCite \textit{T. Heidersdorf} and \textit{H. Wenzl}, Sel. Math., New Ser. 28, No. 2, Paper No. 31, 39 p. (2022; Zbl 1478.18016) Full Text: DOI arXiv
Fenn, Molly; Sommers, Eric A transitivity result for ad-nilpotent ideals in type \(A\). (English) Zbl 1479.17023 Indag. Math., New Ser. 32, No. 6, 1175-1189 (2021). MSC: 17B30 14M15 15B30 16E40 16W10 20F55 20G05 PDFBibTeX XMLCite \textit{M. Fenn} and \textit{E. Sommers}, Indag. Math., New Ser. 32, No. 6, 1175--1189 (2021; Zbl 1479.17023) Full Text: DOI arXiv
Chapelier-Laget, Nathan Affine twisted length function. (English) Zbl 07398740 C. R., Math., Acad. Sci. Paris 359, No. 7, 873-879 (2021). MSC: 20Fxx 20Gxx 17Bxx PDFBibTeX XMLCite \textit{N. Chapelier-Laget}, C. R., Math., Acad. Sci. Paris 359, No. 7, 873--879 (2021; Zbl 07398740) Full Text: DOI arXiv
Tran, Tan Nhat; Tsuchiya, Akiyoshi Worpitzky-compatible subarrangements of braid arrangements and cocomparability graphs. (English) Zbl 1472.52037 C. R., Math., Acad. Sci. Paris 359, No. 6, 665-674 (2021). MSC: 52C35 05C31 17B22 PDFBibTeX XMLCite \textit{T. N. Tran} and \textit{A. Tsuchiya}, C. R., Math., Acad. Sci. Paris 359, No. 6, 665--674 (2021; Zbl 1472.52037) Full Text: DOI arXiv
Jensen, Lars Thorge The ABC of \(p\)-cells. (English) Zbl 1452.20049 Sel. Math., New Ser. 26, No. 2, Paper No. 28, 46 p. (2020). Reviewer: Mikhail Belolipetsky (Rio de Janeiro) MSC: 20H15 20G05 05E10 20C08 20C30 17B10 14M15 20C20 20F55 PDFBibTeX XMLCite \textit{L. T. Jensen}, Sel. Math., New Ser. 26, No. 2, Paper No. 28, 46 p. (2020; Zbl 1452.20049) Full Text: DOI arXiv
Hardesty, William D. On support varieties and the Humphreys conjecture in type \(A\). (English) Zbl 1393.14043 Adv. Math. 329, 392-421 (2018). Reviewer: Evgeny Smirnov (Moskva) MSC: 14L15 20G05 17B08 PDFBibTeX XMLCite \textit{W. D. Hardesty}, Adv. Math. 329, 392--421 (2018; Zbl 1393.14043) Full Text: DOI arXiv
Hu, Jun (ed.); Lin, Zongzhu (ed.); Wang, Jianpan (ed.); Xi, Nanhua (ed.) Preface. (English) Zbl 1384.00117 Sci. China, Math. 61, No. 2, 189-190 (2018). MSC: 00B25 20-06 17-06 PDFBibTeX XMLCite \textit{J. Hu} (ed.) et al., Sci. China, Math. 61, No. 2, 189--190 (2018; Zbl 1384.00117) Full Text: DOI
Sulzgruber, Robin; Thiel, Marko On parking functions and the zeta map in types \(B\), \(C\) and \(D\). (English) Zbl 1386.05195 Electron. J. Comb. 25, No. 1, Research Paper P1.8, 82 p. (2018). MSC: 05E10 05E18 17B22 52C35 20F55 PDFBibTeX XMLCite \textit{R. Sulzgruber} and \textit{M. Thiel}, Electron. J. Comb. 25, No. 1, Research Paper P1.8, 82 p. (2018; Zbl 1386.05195) Full Text: arXiv Link
Fauquant-Millet, Florence; Lamprou, Polyxeni Slices for maximal parabolic subalgebras of a semisimple Lie algebra. (English) Zbl 1436.17020 Transform. Groups 22, No. 4, 911-932 (2017). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 17B35 16W22 PDFBibTeX XMLCite \textit{F. Fauquant-Millet} and \textit{P. Lamprou}, Transform. Groups 22, No. 4, 911--932 (2017; Zbl 1436.17020) Full Text: DOI arXiv
Röhrle, Gerhard Arrangements of ideal type. (English) Zbl 1440.20007 J. Algebra 484, 126-167 (2017). MSC: 20F55 52C35 14N20 17B22 PDFBibTeX XMLCite \textit{G. Röhrle}, J. Algebra 484, 126--167 (2017; Zbl 1440.20007) Full Text: DOI arXiv
Thiel, Marko From Anderson to zeta. (English) Zbl 1352.05189 Adv. Appl. Math. 81, 156-201 (2016). MSC: 05E10 05E18 17B22 52C35 PDFBibTeX XMLCite \textit{M. Thiel}, Adv. Appl. Math. 81, 156--201 (2016; Zbl 1352.05189) Full Text: DOI arXiv
Du, Jie; Fu, Qiang Quantum affine \(\mathfrak{gl}_n\) via Hecke algebras. (English) Zbl 1378.17025 Adv. Math. 282, 23-46 (2015). MSC: 17B37 17B67 20G43 PDFBibTeX XMLCite \textit{J. Du} and \textit{Q. Fu}, Adv. Math. 282, 23--46 (2015; Zbl 1378.17025) Full Text: DOI arXiv
Venkatesh, R.; Viswanath, Sankaran Chromatic polynomials of graphs from Kac-Moody algebras. (English) Zbl 1316.05068 J. Algebr. Comb. 41, No. 4, 1133-1142 (2015). MSC: 05C31 17B10 17B67 05C15 05C38 PDFBibTeX XMLCite \textit{R. Venkatesh} and \textit{S. Viswanath}, J. Algebr. Comb. 41, No. 4, 1133--1142 (2015; Zbl 1316.05068) Full Text: DOI arXiv
Thiel, Marko On floors and ceilings of the \(k\)-Catalan arrangement. (English) Zbl 1321.52027 Electron. J. Comb. 21, No. 4, Research Paper P4.36, 15 p. (2014). MSC: 52C35 05A15 17B22 PDFBibTeX XMLCite \textit{M. Thiel}, Electron. J. Comb. 21, No. 4, Research Paper P4.36, 15 p. (2014; Zbl 1321.52027) Full Text: arXiv Link
Premet, Alexander Multiplicity-free primitive ideals associated with rigid nilpotent orbits. (English) Zbl 1353.17009 Transform. Groups 19, No. 2, 569-641 (2014). Reviewer: Salvatore Siciliano (Lecce) MSC: 17B35 17B08 22E47 PDFBibTeX XMLCite \textit{A. Premet}, Transform. Groups 19, No. 2, 569--641 (2014; Zbl 1353.17009) Full Text: DOI arXiv
Cellini, Paola; Marietti, Mario Root polytopes and abelian ideals. (English) Zbl 1291.05214 J. Algebr. Comb. 39, No. 3, 607-645 (2014). MSC: 05E10 05E16 17B22 52C07 PDFBibTeX XMLCite \textit{P. Cellini} and \textit{M. Marietti}, J. Algebr. Comb. 39, No. 3, 607--645 (2014; Zbl 1291.05214) Full Text: DOI arXiv
Liu, Li Li; Luo, Li On ad-nilpotent \(b\)-ideals for orthogonal Lie algebras. (English) Zbl 1317.17009 Acta Math. Sin., Engl. Ser. 29, No. 2, 241-262 (2013). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 17B05 17B20 PDFBibTeX XMLCite \textit{L. L. Liu} and \textit{L. Luo}, Acta Math. Sin., Engl. Ser. 29, No. 2, 241--262 (2013; Zbl 1317.17009) Full Text: DOI
Brunat, Olivier; Neunhöffer, Max A new construction of the asymptotic algebra associated to the \(q\)-Schur algebra. (English) Zbl 1278.20068 Represent. Theory 16, 88-107 (2012). MSC: 20G43 20C08 20F55 20G05 17B37 PDFBibTeX XMLCite \textit{O. Brunat} and \textit{M. Neunhöffer}, Represent. Theory 16, 88--107 (2012; Zbl 1278.20068) Full Text: DOI arXiv
Wang, Li; Shi, Jian-yi Reflection subgroups and sub-root systems of the imprimitive complex reflection groups. (English) Zbl 1216.20033 Sci. China, Math. 53, No. 6, 1595-1602 (2010). Reviewer: Nan Ji-Zhu (Dalian) MSC: 20F55 17B22 20F05 05C25 PDFBibTeX XMLCite \textit{L. Wang} and \textit{J.-y. Shi}, Sci. China, Math. 53, No. 6, 1595--1602 (2010; Zbl 1216.20033) Full Text: DOI
Fang, Chuying Ad-nilpotent ideals and equivalence relations. (English) Zbl 1244.17007 J. Algebra 323, No. 7, 2016-2025 (2010). MSC: 17B20 17B08 PDFBibTeX XMLCite \textit{C. Fang}, J. Algebra 323, No. 7, 2016--2025 (2010; Zbl 1244.17007) Full Text: DOI arXiv
Kirillov, A.; Thind, J. Coxeter elements and periodic Auslander-Reiten quiver. (English) Zbl 1231.20035 J. Algebra 323, No. 5, 1241-1265 (2010). MSC: 20F55 17B22 16G70 05E15 16G20 PDFBibTeX XMLCite \textit{A. Kirillov} and \textit{J. Thind}, J. Algebra 323, No. 5, 1241--1265 (2010; Zbl 1231.20035) Full Text: DOI arXiv
Douglass, J. Matthew; Röhrle, Gerhard The Steinberg variety and representations of reductive groups. (English) Zbl 1183.20044 J. Algebra 321, No. 11, 3158-3196 (2009). Reviewer: Dubravka Ban (Carbondale) MSC: 20G05 17B45 14L30 20G15 PDFBibTeX XMLCite \textit{J. M. Douglass} and \textit{G. Röhrle}, J. Algebra 321, No. 11, 3158--3196 (2009; Zbl 1183.20044) Full Text: DOI arXiv
Lenart, Cristian; Postnikov, Alexander A combinatorial model for crystals of Kac-Moody algebras. (English) Zbl 1211.17021 Trans. Am. Math. Soc. 360, No. 8, 4349-4381 (2008). Reviewer: Nicolás Andruskiewitsch (Cordoba) MSC: 17B67 17B10 05E10 22E46 20G42 PDFBibTeX XMLCite \textit{C. Lenart} and \textit{A. Postnikov}, Trans. Am. Math. Soc. 360, No. 8, 4349--4381 (2008; Zbl 1211.17021) Full Text: DOI arXiv
Cellini, Paola; Möseneder Frajria, Pierluigi; Papi, Paolo The \(\widehat W\)-orbit of \(\rho\), Kostant’s formula for powers of the Euler product and affine Weyl groups as permutations of \(\mathbb Z\). (English) Zbl 1160.17007 J. Pure Appl. Algebra 208, No. 3, 1103-1119 (2007). MSC: 17B10 17B67 20F55 PDFBibTeX XMLCite \textit{P. Cellini} et al., J. Pure Appl. Algebra 208, No. 3, 1103--1119 (2007; Zbl 1160.17007) Full Text: DOI arXiv
Sommers, Eric N. Equivalence classes of ideals in the nilradical of a Borel subalgebra. (English) Zbl 1162.17008 Nagoya Math. J. 183, 161-185 (2006). MSC: 17B20 20F55 PDFBibTeX XMLCite \textit{E. N. Sommers}, Nagoya Math. J. 183, 161--185 (2006; Zbl 1162.17008) Full Text: DOI Euclid
Panyushev, Dmitri I. Normalizers of ad-nilpotent ideals. (English) Zbl 1091.17007 Eur. J. Comb. 27, No. 2, 153-178 (2006). Reviewer: Alessandro Ottazzi (Bern) MSC: 17B20 20F55 PDFBibTeX XMLCite \textit{D. I. Panyushev}, Eur. J. Comb. 27, No. 2, 153--178 (2006; Zbl 1091.17007) Full Text: DOI arXiv
Panyushev, Dmitri I. ad-nilpotent ideals of a Borel subalgebra: generators and duality. (English) Zbl 1067.17005 J. Algebra 274, No. 2, 822-846 (2004). Reviewer: M. Pilar Benito Clavijo (Logroño) MSC: 17B05 17B20 PDFBibTeX XMLCite \textit{D. I. Panyushev}, J. Algebra 274, No. 2, 822--846 (2004; Zbl 1067.17005) Full Text: DOI arXiv Backlinks: MO
Panyushev, Dmitri I. Short antichains in root systems, semi-Catalan arrangements, and \(B\)-stable subspaces. (English) Zbl 1171.17301 Eur. J. Comb. 25, No. 1, 93-112 (2004). MSC: 17B20 05E15 PDFBibTeX XMLCite \textit{D. I. Panyushev}, Eur. J. Comb. 25, No. 1, 93--112 (2004; Zbl 1171.17301) Full Text: DOI arXiv
Humphreys, J. E. Analogues of Weyl’s formula for reduced enveloping algebras. (English) Zbl 1162.17302 Exp. Math. 11, No. 4, 567-573 (2002). MSC: 17B10 17B35 17B45 PDFBibTeX XMLCite \textit{J. E. Humphreys}, Exp. Math. 11, No. 4, 567--573 (2002; Zbl 1162.17302) Full Text: DOI arXiv EuDML
Cellini, Paola; Papi, Paolo Ad-nilpotent ideals of a Borel subalgebra. II. (English) Zbl 1033.17008 J. Algebra 258, No. 1, 112-121 (2002). Reviewer: Mark R. Sepanski (Waco) MSC: 17B05 PDFBibTeX XMLCite \textit{P. Cellini} and \textit{P. Papi}, J. Algebra 258, No. 1, 112--121 (2002; Zbl 1033.17008) Full Text: DOI arXiv
Andrews, George E.; Krattenthaler, Christian; Orsina, Luigi; Papi, Paolo ad-nilpotent \(\mathfrak b\)-ideals in \({\mathfrak{sl}}(n)\) having a fixed class of nilpotence: combinatorics and enumeration. (English) Zbl 1041.17008 Trans. Am. Math. Soc. 354, No. 10, 3835-3853 (2002). Reviewer: Mark R. Sepanski (Waco) MSC: 17B20 05A15 05A19 05E15 17B30 PDFBibTeX XMLCite \textit{G. E. Andrews} et al., Trans. Am. Math. Soc. 354, No. 10, 3835--3853 (2002; Zbl 1041.17008) Full Text: DOI arXiv
Krattenthaler, Christian; Orsina, Luigi; Papi, Paolo Enumeration of ad-nilpotent \({\mathfrak b}\)-ideals for simple Lie algebras. (English) Zbl 1024.17003 Adv. Appl. Math. 28, No. 3-4, 478-522 (2002). Reviewer: Mark R.Sepanski (Waco) MSC: 17B05 PDFBibTeX XMLCite \textit{C. Krattenthaler} et al., Adv. Appl. Math. 28, No. 3--4, 478--522 (2002; Zbl 1024.17003) Full Text: DOI arXiv
Papi, Paolo Inversion tables and minimal left coset representatives for Weyl groups of classical type. (English) Zbl 0985.20025 J. Pure Appl. Algebra 161, No. 1-2, 219-234 (2001). Reviewer: Shi Jianyi (Shanghai) MSC: 20F55 17B20 PDFBibTeX XMLCite \textit{P. Papi}, J. Pure Appl. Algebra 161, No. 1--2, 219--234 (2001; Zbl 0985.20025) Full Text: DOI
Cellini, Paola; Papi, Paolo \(ad\)-nilpotent ideals of a Borel subalgebra. (English) Zbl 0951.17003 J. Algebra 225, No. 1, 130-141 (2000). Reviewer: Mark R.Sepanski (Waco) MSC: 17B05 PDFBibTeX XMLCite \textit{P. Cellini} and \textit{P. Papi}, J. Algebra 225, No. 1, 130--141 (2000; Zbl 0951.17003) Full Text: DOI
Ostrik, V. V. Support varieties for quantum groups. (English. Russian original) Zbl 0981.17010 Funct. Anal. Appl. 32, No. 4, 237-246 (1998); translation from Funkts. Anal. Prilozh. 32, No. 4, 22-34 (1998). Reviewer: Ye Jiachen (Shanghai) MSC: 17B37 20G05 81R10 20G10 PDFBibTeX XMLCite \textit{V. V. Ostrik}, Funct. Anal. Appl. 32, No. 4, 237--246 (1998; Zbl 0981.17010); translation from Funkts. Anal. Prilozh. 32, No. 4, 22--34 (1998) Full Text: DOI arXiv
Du, J.; Parshall, B.; Scott, L. Cells and \(q\)-Schur algebras. (English) Zbl 0912.20008 Transform. Groups 3, No. 1, 33-49 (1998). Reviewer: Steffen König (Bielefeld) MSC: 20C30 20G05 17B37 PDFBibTeX XMLCite \textit{J. Du} et al., Transform. Groups 3, No. 1, 33--49 (1998; Zbl 0912.20008) Full Text: DOI
De Vos, Koos; van Driel, Peter The Kazhdan-Lusztig conjecture for \(\mathcal{W}\) algebras. (English) Zbl 0862.17020 J. Math. Phys. 37, No. 7, 3587-3610 (1996). Reviewer: W.Soergel (Freiburg i.Br.) MSC: 17B67 81R10 PDFBibTeX XMLCite \textit{K. De Vos} and \textit{P. van Driel}, J. Math. Phys. 37, No. 7, 3587--3610 (1996; Zbl 0862.17020) Full Text: DOI arXiv
Stembridge, John R. Canonical bases and self-evacuating tableaux. (English) Zbl 0869.17011 Duke Math. J. 82, No. 3, 585-606 (1996). Reviewer: W.Soergel (Freiburg) MSC: 17B37 05E15 05E10 PDFBibTeX XMLCite \textit{J. R. Stembridge}, Duke Math. J. 82, No. 3, 585--606 (1996; Zbl 0869.17011) Full Text: DOI
Du, Jie Cells in certain sets of matrices. (English) Zbl 0881.17008 Tôhoku Math. J., II. Ser. 48, No. 3, 417-427 (1996). Reviewer: Li Fang (Nanjing) MSC: 17B37 20C30 PDFBibTeX XMLCite \textit{J. Du}, Tôhoku Math. J. (2) 48, No. 3, 417--427 (1996; Zbl 0881.17008) Full Text: DOI
Garfinkle, Devra On the classification of primitive ideals for complex classical Lie algebras. I. (English) Zbl 0737.17003 Compos. Math. 75, No. 2, 135-169 (1990). Reviewer: W.M.McGovern (Seattle) MSC: 17B35 17B05 17B10 22E47 PDFBibTeX XMLCite \textit{D. Garfinkle}, Compos. Math. 75, No. 2, 135--169 (1990; Zbl 0737.17003) Full Text: Numdam EuDML
Lawton, Gregory Two-sided cells in the affine Weyl group of type \(\tilde A_{n-1}\). (English) Zbl 0664.20027 J. Algebra 120, No. 1, 74-89 (1989). Reviewer: Shi Jianyi MSC: 20H15 20G20 17B45 PDFBibTeX XMLCite \textit{G. Lawton}, J. Algebra 120, No. 1, 74--89 (1989; Zbl 0664.20027) Full Text: DOI