Mortenson, Eric T. On Hecke-type double-sums and general string functions for the affine Lie algebra \(A_1^{(1)}\). (English) Zbl 07812000 Ramanujan J. 63, No. 3, 553-582 (2024). MSC: 11B65 11F27 PDFBibTeX XMLCite \textit{E. T. Mortenson}, Ramanujan J. 63, No. 3, 553--582 (2024; Zbl 07812000) Full Text: DOI arXiv
Hu, Jun; Shi, Xiaolin; Shi, Lei On the minimal elements in conjugacy classes of the complex reflection group \(G(r,1,n)\). (English) Zbl 07808731 J. Pure Appl. Algebra 228, No. 6, Article ID 107579, 24 p. (2024). Reviewer: Enrico Jabara (Venezia) MSC: 20C08 16G99 06B15 PDFBibTeX XMLCite \textit{J. Hu} et al., J. Pure Appl. Algebra 228, No. 6, Article ID 107579, 24 p. (2024; Zbl 07808731) Full Text: DOI
Di Francesco, Philippe; Kedem, Rinat Macdonald duality and the proof of the quantum Q-system conjecture. (English) Zbl 07807766 Sel. Math., New Ser. 30, No. 2, Paper No. 23, 100 p. (2024). MSC: 20C08 33D52 PDFBibTeX XMLCite \textit{P. Di Francesco} and \textit{R. Kedem}, Sel. Math., New Ser. 30, No. 2, Paper No. 23, 100 p. (2024; Zbl 07807766) Full Text: DOI arXiv
Diamantis, Ioannis The Kauffman bracket skein module of the lens spaces via unoriented braids. (English) Zbl 07805952 Commun. Contemp. Math. 26, No. 2, Article ID 2250076, 36 p. (2024). Reviewer: Mee Seong Im (Annapolis) MSC: 57K31 57K14 20F36 20F38 57K10 57K12 57K45 57K35 57K99 20C08 PDFBibTeX XMLCite \textit{I. Diamantis}, Commun. Contemp. Math. 26, No. 2, Article ID 2250076, 36 p. (2024; Zbl 07805952) Full Text: DOI arXiv
Ma, Jia-jun; Qiu, Congling; Zou, Jialiang Generic Hecke algebra and theta correspondence over finite fields. (English) Zbl 07801726 Adv. Math. 438, Article ID 109444, 44 p. (2024). MSC: 20C08 22E46 22E47 PDFBibTeX XMLCite \textit{J.-j. Ma} et al., Adv. Math. 438, Article ID 109444, 44 p. (2024; Zbl 07801726) Full Text: DOI arXiv
Ion, Bogdan; Wu, Dongyu The stable limit DAHA and the double Dyck path algebra. (English) Zbl 07801290 J. Inst. Math. Jussieu 23, No. 1, 379-424 (2024). MSC: 20C08 05E05 PDFBibTeX XMLCite \textit{B. Ion} and \textit{D. Wu}, J. Inst. Math. Jussieu 23, No. 1, 379--424 (2024; Zbl 07801290) Full Text: DOI arXiv OA License
Moselle, Isaac Homological stability for Iwahori-Hecke algebras of type \(B_n\). (English) Zbl 07799806 J. Pure Appl. Algebra 228, No. 5, Article ID 107560, 26 p. (2024). MSC: 20J06 20C08 16E40 20F36 PDFBibTeX XMLCite \textit{I. Moselle}, J. Pure Appl. Algebra 228, No. 5, Article ID 107560, 26 p. (2024; Zbl 07799806) Full Text: DOI arXiv
Fresse, Lucas; Nishiyama, Kyo Action of Hecke algebra on the double flag variety of type AIII. (English) Zbl 07796435 Adv. Appl. Math. 153, Article ID 102614, 19 p. (2024). MSC: 20C08 14M17 14M15 20G05 PDFBibTeX XMLCite \textit{L. Fresse} and \textit{K. Nishiyama}, Adv. Appl. Math. 153, Article ID 102614, 19 p. (2024; Zbl 07796435) Full Text: DOI arXiv
Stoimenow, Alexander Subsymmetric exchanged braids and the Burau matrix. (English) Zbl 07796361 Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 1, 154-187 (2024). MSC: 20F36 57K10 57K14 15A24 20C08 PDFBibTeX XMLCite \textit{A. Stoimenow}, Proc. R. Soc. Edinb., Sect. A, Math. 154, No. 1, 154--187 (2024; Zbl 07796361) Full Text: DOI OA License
Moore, Stephen T. Limits of traces of Temperley-Lieb algebras. (English) Zbl 07791762 J. Algebra 642, 95-147 (2024). Reviewer: Mee Seong Im (Annapolis) MSC: 17B99 20C08 82B21 PDFBibTeX XMLCite \textit{S. T. Moore}, J. Algebra 642, 95--147 (2024; Zbl 07791762) Full Text: DOI arXiv
Ohara, Kazuma Hecke algebras for tame supercuspidal types. (English) Zbl 07791562 Am. J. Math. 146, No. 1, 277-293 (2024). Reviewer: Egle Bettio (Venezia) MSC: 20G25 20C08 22E50 11F70 PDFBibTeX XMLCite \textit{K. Ohara}, Am. J. Math. 146, No. 1, 277--293 (2024; Zbl 07791562) Full Text: DOI arXiv
Lee, Kimyeong; Sun, Kaiwen; Wang, Haowu On intermediate Lie algebra \(E_{7+1/2}\). (English) Zbl 07790344 Lett. Math. Phys. 114, No. 1, Paper No. 13, 33 p. (2024). MSC: 17B69 17B25 PDFBibTeX XMLCite \textit{K. Lee} et al., Lett. Math. Phys. 114, No. 1, Paper No. 13, 33 p. (2024; Zbl 07790344) Full Text: DOI arXiv OA License
Mackaay, Marco; Miemietz, Vanessa; Vaz, Pedro Evaluation birepresentations of affine type \(A\) Soergel bimodules. (English) Zbl 1528.18021 Adv. Math. 436, Article ID 109401, 68 p. (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N25 20C08 PDFBibTeX XMLCite \textit{M. Mackaay} et al., Adv. Math. 436, Article ID 109401, 68 p. (2024; Zbl 1528.18021) Full Text: DOI arXiv
Aubert, Anne-Marie; Xu, Yujie Hecke algebras for \(p\)-adic reductive groups and local Langlands correspondences for Bernstein blocks. (English) Zbl 07781628 Adv. Math. 436, Article ID 109384, 45 p. (2024). MSC: 20C08 20G07 20G25 PDFBibTeX XMLCite \textit{A.-M. Aubert} and \textit{Y. Xu}, Adv. Math. 436, Article ID 109384, 45 p. (2024; Zbl 07781628) Full Text: DOI arXiv
van Diejen, J. F.; Emsiz, E.; Zurrián, I. N. On the basic representation of the double affine Hecke algebra at critical level. (English) Zbl 1528.20007 J. Algebra Appl. 23, No. 3, Article ID 2450061, 8 p. (2024). Reviewer: Enrico Jabara (Venezia) MSC: 20C08 17B22 17B67 33D80 PDFBibTeX XMLCite \textit{J. F. van Diejen} et al., J. Algebra Appl. 23, No. 3, Article ID 2450061, 8 p. (2024; Zbl 1528.20007) Full Text: DOI
Dudas, Olivier; Malle, Gunter Rationality of extended unipotent characters. arXiv:2402.09960 Preprint, arXiv:2402.09960 [math.RT] (2024). MSC: 20C08 20C15 20C33 BibTeX Cite \textit{O. Dudas} and \textit{G. Malle}, ``Rationality of extended unipotent characters'', Preprint, arXiv:2402.09960 [math.RT] (2024) Full Text: arXiv OA License
Masroor, Razzi Hyperoctahedral Schur Category and Hyperoctahedral Web Category. arXiv:2402.06405 Preprint, arXiv:2402.06405 [math.RT] (2024). MSC: 20F55 16S15 20C08 BibTeX Cite \textit{R. Masroor}, ``Hyperoctahedral Schur Category and Hyperoctahedral Web Category'', Preprint, arXiv:2402.06405 [math.RT] (2024) Full Text: arXiv OA License
Lueck, Wolfgang Relative assembly maps and the K-theory of Hecke algebras in prime characteristic. arXiv:2402.05278 Preprint, arXiv:2402.05278 [math.KT] (2024). MSC: 19D35 19D50 20C08 BibTeX Cite \textit{W. Lueck}, ``Relative assembly maps and the K-theory of Hecke algebras in prime characteristic'', Preprint, arXiv:2402.05278 [math.KT] (2024) Full Text: arXiv OA License
Heng, Edmund; Elias, Ben Coxeter embeddings are injective. arXiv:2402.00974 Preprint, arXiv:2402.00974 [math.GR] (2024). MSC: 20F55 20C08 BibTeX Cite \textit{E. Heng} and \textit{B. Elias}, ``Coxeter embeddings are injective'', Preprint, arXiv:2402.00974 [math.GR] (2024) Full Text: arXiv OA License
Fayers, Matthew; Putignano, Lorenzo Decomposition numbers for weight 3 blocks of Iwahori–Hecke algebras of type B. arXiv:2401.05816 Preprint, arXiv:2401.05816 [math.RT] (2024). MSC: 20C08 20C30 05E10 BibTeX Cite \textit{M. Fayers} and \textit{L. Putignano}, ``Decomposition numbers for weight 3 blocks of Iwahori--Hecke algebras of type B'', Preprint, arXiv:2401.05816 [math.RT] (2024) Full Text: arXiv OA License
Elias, Ben; Qi, You Actions of \(\mathfrak{sl}_2\) on algebras appearing in categorification. (English) Zbl 07800529 Quantum Topol. 14, No. 4, 733-806 (2023). MSC: 16W25 17B60 PDFBibTeX XMLCite \textit{B. Elias} and \textit{Y. Qi}, Quantum Topol. 14, No. 4, 733--806 (2023; Zbl 07800529) Full Text: DOI arXiv
Jing, Naihuan; Liu, Ning Murnaghan-Nakayama rule and spin bitrace for the Hecke-Clifford algebra. (English) Zbl 07794941 Int. Math. Res. Not. 2023, No. 19, 17060-17099 (2023). MSC: 20C08 20C30 PDFBibTeX XMLCite \textit{N. Jing} and \textit{N. Liu}, Int. Math. Res. Not. 2023, No. 19, 17060--17099 (2023; Zbl 07794941) Full Text: DOI arXiv
Kim, Dongkwan; Pylyavskyy, Pavlo Asymptotic Hecke algebras and Lusztig-Vogan bijection via affine matrix-ball construction. (English) Zbl 07794919 Int. Math. Res. Not. 2023, No. 18, 16051-16103 (2023). MSC: 20C08 17-XX PDFBibTeX XMLCite \textit{D. Kim} and \textit{P. Pylyavskyy}, Int. Math. Res. Not. 2023, No. 18, 16051--16103 (2023; Zbl 07794919) Full Text: DOI arXiv
Amara-Omari, Ola; Schaps, Mary External vertices for crystals of affine type A. (English) Zbl 07787989 Algebr. Represent. Theory 26, No. 6, 2785-2800 (2023). MSC: 17B10 20C30 PDFBibTeX XMLCite \textit{O. Amara-Omari} and \textit{M. Schaps}, Algebr. Represent. Theory 26, No. 6, 2785--2800 (2023; Zbl 07787989) Full Text: DOI
Ryba, Christopher Stable centres of Iwahori-Hecke algebras of type A. (English) Zbl 07787975 Algebr. Represent. Theory 26, No. 6, 2343-2359 (2023). MSC: 20C08 PDFBibTeX XMLCite \textit{C. Ryba}, Algebr. Represent. Theory 26, No. 6, 2343--2359 (2023; Zbl 07787975) Full Text: DOI arXiv
Dong, Zhijie; Ma, Haitao Diagram automorphism fixed Lie algebras and diagram automorphism fixed quiver varieties. (English. Russian original) Zbl 07786656 Funct. Anal. Appl. 57, No. 2, 109-116 (2023); translation from Funkts. Anal. Prilozh. 57, No. 2, 31-40 (2023). MSC: 17-XX PDFBibTeX XMLCite \textit{Z. Dong} and \textit{H. Ma}, Funct. Anal. Appl. 57, No. 2, 109--116 (2023; Zbl 07786656); translation from Funkts. Anal. Prilozh. 57, No. 2, 31--40 (2023) Full Text: DOI
Hébert, Auguste Kato’s irreducibility criterion for Kac-Moody groups over local fields. (English) Zbl 07785478 Represent. Theory 27, 1208-1227 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20C08 20G44 PDFBibTeX XMLCite \textit{A. Hébert}, Represent. Theory 27, 1208--1227 (2023; Zbl 07785478) Full Text: DOI arXiv
Pepin, Cédric; Schmidt, Tobias Generic and mod \(p\) Kazhdan-Lusztig theory for \(GL_2\). (English) Zbl 07785476 Represent. Theory 27, 1142-1193 (2023). MSC: 11S37 20C08 PDFBibTeX XMLCite \textit{C. Pepin} and \textit{T. Schmidt}, Represent. Theory 27, 1142--1193 (2023; Zbl 07785476) Full Text: DOI arXiv
Ciubotaru, D.; De Martino, M.; Meyer, P. Symplectic Dirac operators for Lie algebras and graded Hecke algebras. (English) Zbl 07785104 Transform. Groups 28, No. 4, 1447-1475 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 22E60 20C08 17B35 17B10 53C27 PDFBibTeX XMLCite \textit{D. Ciubotaru} et al., Transform. Groups 28, No. 4, 1447--1475 (2023; Zbl 07785104) Full Text: DOI arXiv
Guin, Satyajit; Saurabh, Bipul On the Clebsch-Gordan coefficients for the quantum group \(U_q (2)\). (English) Zbl 07784764 Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 44, 20 p. (2023). MSC: 58B32 33D45 33D80 16W99 PDFBibTeX XMLCite \textit{S. Guin} and \textit{B. Saurabh}, Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 44, 20 p. (2023; Zbl 07784764) Full Text: DOI
Griffeth, Stephen The diagonal coinvariant ring of a complex reflection group. (English) Zbl 07784445 Algebra Number Theory 17, No. 11, 2033-2053 (2023). MSC: 16S32 05A10 17B10 20F55 PDFBibTeX XMLCite \textit{S. Griffeth}, Algebra Number Theory 17, No. 11, 2033--2053 (2023; Zbl 07784445) Full Text: DOI arXiv
Ariki, Susumu; Lyle, Sinéad; Speyer, Liron Schurian-finiteness of blocks of type \(A\) Hecke algebras. (English) Zbl 07780676 J. Lond. Math. Soc., II. Ser. 108, No. 6, 2333-2376 (2023). Reviewer: Hu Jun (Beijing) MSC: 20C08 05E10 PDFBibTeX XMLCite \textit{S. Ariki} et al., J. Lond. Math. Soc., II. Ser. 108, No. 6, 2333--2376 (2023; Zbl 07780676) Full Text: DOI arXiv OA License
Jacon, Nicolas Mullineux involution and crystal isomorphisms. (English) Zbl 07779743 Comb. Theory 3, No. 2, Paper No. 8, 33 p. (2023). Reviewer: Hu Jun (Beijing) MSC: 20C08 05E10 PDFBibTeX XMLCite \textit{N. Jacon}, Comb. Theory 3, No. 2, Paper No. 8, 33 p. (2023; Zbl 07779743) Full Text: DOI arXiv
Hamaker, Zachary; Morales, Alejandro H.; Pak, Igor; Serrano, Luis; Williams, Nathan Bijecting hidden symmetries for skew staircase shapes. (English) Zbl 07777642 Algebr. Comb. 6, No. 4, 1095-1118 (2023). MSC: 05E10 05A19 05E05 17B10 PDFBibTeX XMLCite \textit{Z. Hamaker} et al., Algebr. Comb. 6, No. 4, 1095--1118 (2023; Zbl 07777642) Full Text: DOI arXiv
Jacon, Nicolas; Lacabanne, Abel On Calogero-Moser cellular characters for imprimitive complex reflection groups. (English) Zbl 1527.20002 Tunis. J. Math. 5, No. 4, 605-625 (2023). MSC: 20C08 20G42 20F55 PDFBibTeX XMLCite \textit{N. Jacon} and \textit{A. Lacabanne}, Tunis. J. Math. 5, No. 4, 605--625 (2023; Zbl 1527.20002) Full Text: DOI arXiv
Maksimau, Ruslan; Vaz, Pedro DG-enhanced Hecke and KLR algebras. (English) Zbl 1527.20004 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 095, 24 p. (2023). MSC: 20C08 16E45 PDFBibTeX XMLCite \textit{R. Maksimau} and \textit{P. Vaz}, SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 095, 24 p. (2023; Zbl 1527.20004) Full Text: DOI arXiv
Gibson, J.; Jensen, L. T.; Williamson, G. Calculating the \(p\)-canonical basis of Hecke algebras. (English) Zbl 07773330 Transform. Groups 28, No. 3, 1121-1148 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20C08 20F55 20-08 PDFBibTeX XMLCite \textit{J. Gibson} et al., Transform. Groups 28, No. 3, 1121--1148 (2023; Zbl 07773330) Full Text: DOI arXiv
Bezrukavnikov, Roman; Dawydiak, Stefan; Dobrovolska, Galyna On the structure of the affine asymptotic Hecke algebras. (English) Zbl 07773327 Transform. Groups 28, No. 3, 1059-1079 (2023). MSC: 20C08 20Gxx 17Bxx 20Fxx PDFBibTeX XMLCite \textit{R. Bezrukavnikov} et al., Transform. Groups 28, No. 3, 1059--1079 (2023; Zbl 07773327) Full Text: DOI arXiv
Lacabanne, Abel; Tubbenhauer, Daniel; Vaz, Pedro Annular webs and Levi subalgebras. (English) Zbl 07772248 J. Comb. Algebra 7, No. 3-4, 283-326 (2023). MSC: 17B37 18M05 18M15 20C08 PDFBibTeX XMLCite \textit{A. Lacabanne} et al., J. Comb. Algebra 7, No. 3--4, 283--326 (2023; Zbl 07772248) Full Text: DOI arXiv
Gobet, Thomas; Marin, Ivan Hecke algebras of normalizers of parabolic subgroups. (English) Zbl 07768198 Algebr. Represent. Theory 26, No. 5, 1609-1639 (2023). MSC: 20C08 20F36 20F55 PDFBibTeX XMLCite \textit{T. Gobet} and \textit{I. Marin}, Algebr. Represent. Theory 26, No. 5, 1609--1639 (2023; Zbl 07768198) Full Text: DOI arXiv
Gao, Mengmeng; Rui, Hebing; Song, Linliang Blocks of the Brauer category over the complex field. (English) Zbl 07768187 Algebr. Represent. Theory 26, No. 5, 1319-1334 (2023). MSC: 17B10 18D10 33D80 PDFBibTeX XMLCite \textit{M. Gao} et al., Algebr. Represent. Theory 26, No. 5, 1319--1334 (2023; Zbl 07768187) Full Text: DOI arXiv
Chlouveraki, Maria; Jacon, Nicolas Defect in cyclotomic Hecke algebras. (English) Zbl 1526.20011 Math. Z. 305, No. 4, Paper No. 57, 33 p. (2023). MSC: 20C08 05E10 20C20 PDFBibTeX XMLCite \textit{M. Chlouveraki} and \textit{N. Jacon}, Math. Z. 305, No. 4, Paper No. 57, 33 p. (2023; Zbl 1526.20011) Full Text: DOI arXiv
Lacabanne, Abel; Tubbenhauer, Daniel; Vaz, Pedro Asymptotics in finite monoidal categories. (English) Zbl 07766043 Proc. Am. Math. Soc., Ser. B 10, 398-412 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 20C20 20C08 18M05 16T05 18M20 PDFBibTeX XMLCite \textit{A. Lacabanne} et al., Proc. Am. Math. Soc., Ser. B 10, 398--412 (2023; Zbl 07766043) Full Text: DOI arXiv
Ariki, Susumu; Song, Linliang; Wang, Qi Representation type of cyclotomic quiver Hecke algebras of type \(A_\ell^{(1)}\). (English) Zbl 07765298 Adv. Math. 434, Article ID 109329, 68 p. (2023). MSC: 20C08 16G60 17B65 16G20 PDFBibTeX XMLCite \textit{S. Ariki} et al., Adv. Math. 434, Article ID 109329, 68 p. (2023; Zbl 07765298) Full Text: DOI arXiv
Cossaboom, Catherine; Zhou, Sharon Hecke nilpotency for modular forms \(\bmod\, 2\) and an application to partition numbers. (English) Zbl 07760630 Ramanujan J. 62, No. 3, 899-923 (2023). MSC: 11F11 11P83 20C08 PDFBibTeX XMLCite \textit{C. Cossaboom} and \textit{S. Zhou}, Ramanujan J. 62, No. 3, 899--923 (2023; Zbl 07760630) Full Text: DOI arXiv
Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon The Hecke system of harmonic Maass functions and applications to modular curves of higher genera. (English) Zbl 07760618 Ramanujan J. 62, No. 3, 675-717 (2023). MSC: 11F03 11F12 11F22 11F25 11F30 11F33 11F37 PDFBibTeX XMLCite \textit{D. Jeon} et al., Ramanujan J. 62, No. 3, 675--717 (2023; Zbl 07760618) Full Text: DOI
Lin, Huang; Hu, Jun Crystal of affine \(\widehat{\mathfrak{sl}}_\ell\) and modular branching rules for Hecke algebras of type \(D_n\). (English) Zbl 07758518 Front. Math. (Beijing) 18, No. 2, 277-306 (2023). Reviewer: Stefan Dawydiak (Bonn) MSC: 20C08 17B10 PDFBibTeX XMLCite \textit{H. Lin} and \textit{J. Hu}, Front. Math. (Beijing) 18, No. 2, 277--306 (2023; Zbl 07758518) Full Text: DOI
Elias, Ben; Williamson, Geordie Localized calculus for the Hecke category. (Calcul localisé pour la Catégorie de Hecke.) (English. French summary) Zbl 1526.20012 Ann. Math. Blaise Pascal 30, No. 1, 1-73 (2023). MSC: 20C08 20C20 20F55 20G05 20L05 PDFBibTeX XMLCite \textit{B. Elias} and \textit{G. Williamson}, Ann. Math. Blaise Pascal 30, No. 1, 1--73 (2023; Zbl 1526.20012) Full Text: DOI arXiv
He, Zhekun; Wan, Jinkui Zelevinsky involution and degenerate affine Hecke-Clifford algebras. (English) Zbl 07758464 Front. Math. (Beijing) 18, No. 1, 47-63 (2023). MSC: 20C08 05E10 PDFBibTeX XMLCite \textit{Z. He} and \textit{J. Wan}, Front. Math. (Beijing) 18, No. 1, 47--63 (2023; Zbl 07758464) Full Text: DOI
Nguyen, Kieu Hieu A PEL case of the Kottwitz conjecture. (Un cas PEL de la conjecture de Kottwitz.) (French. English summary) Zbl 07756905 Ann. Inst. Fourier 73, No. 6, 2239-2304 (2023). MSC: 11F70 11F80 11F85 11G18 20C08 PDFBibTeX XMLCite \textit{K. H. Nguyen}, Ann. Inst. Fourier 73, No. 6, 2239--2304 (2023; Zbl 07756905) Full Text: DOI arXiv
Gajda, Vincent Soergel’s conjecture and finitely cogenerated modules. (English) Zbl 1522.20002 Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.). 106 p., open access (2023). MSC: 20-02 20C08 20F55 PDFBibTeX XMLCite \textit{V. Gajda}, Soergel's conjecture and finitely cogenerated modules. Freiburg im Breisgau: Univ. Freiburg, Fakultät für Mathematik und Physik (Diss.) (2023; Zbl 1522.20002) Full Text: DOI Link
Low, Aaron Yi Rui James’s conjecture holds for blocks of \(q\)-Schur algebras of weights 3 and 4. (English) Zbl 1525.20013 J. Algebra 636, 373-416 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20C30 20C08 20G43 20C20 PDFBibTeX XMLCite \textit{A. Y. R. Low}, J. Algebra 636, 373--416 (2023; Zbl 1525.20013) Full Text: DOI arXiv
Elias, Ben; Qi, You Categorifying Hecke algebras at prime roots of unity. I. (English) Zbl 07752621 Trans. Am. Math. Soc. 376, No. 11, 7691-7742 (2023). MSC: 18N25 20C08 PDFBibTeX XMLCite \textit{B. Elias} and \textit{Y. Qi}, Trans. Am. Math. Soc. 376, No. 11, 7691--7742 (2023; Zbl 07752621) Full Text: DOI arXiv
Abe, Noriyuki Extension between simple modules of pro-\(p\)-Iwahori Hecke algebras. (English) Zbl 07750910 J. Inst. Math. Jussieu 22, No. 6, 2775-2804 (2023). MSC: 22E50 20C08 20G25 PDFBibTeX XMLCite \textit{N. Abe}, J. Inst. Math. Jussieu 22, No. 6, 2775--2804 (2023; Zbl 07750910) Full Text: DOI arXiv
Pilkington, Annette On reflection representations of Coxeter groups over non-commutative rings. (English) Zbl 07747598 Commun. Algebra 51, No. 11, 4567-4596 (2023). Reviewer: Weijia Wang (Shanghai) MSC: 20F55 17B22 20C08 PDFBibTeX XMLCite \textit{A. Pilkington}, Commun. Algebra 51, No. 11, 4567--4596 (2023; Zbl 07747598) Full Text: DOI arXiv
Rousseau, Guy Euclidean buildings. Geometry and group actions. (English) Zbl 07742947 EMS Tracts in Mathematics 35. Berlin: European Mathematical Society (EMS) (ISBN 978-3-98547-039-6/hbk; 978-3-98547-539-1/ebook). x, 597 p. (2023). Reviewer: Leo Storme (Gent) MSC: 51-02 51E24 20E42 20F55 51F15 PDFBibTeX XMLCite \textit{G. Rousseau}, Euclidean buildings. Geometry and group actions. Berlin: European Mathematical Society (EMS) (2023; Zbl 07742947) Full Text: DOI
Zhao, Deke Cyclotomic \(q\)-Schur superalgebras. (English) Zbl 07742055 J. Algebra Appl. 22, No. 10, Article ID 2350213, 25 p. (2023). MSC: 16W55 16G99 05A99 20C99 PDFBibTeX XMLCite \textit{D. Zhao}, J. Algebra Appl. 22, No. 10, Article ID 2350213, 25 p. (2023; Zbl 07742055) Full Text: DOI arXiv
Gorsky, Eugene; Neguț, Andrei The trace of the affine Hecke category. (English) Zbl 1522.20026 Proc. Lond. Math. Soc. (3) 126, No. 6, 2013-2056 (2023). MSC: 20C08 17B67 18N25 57K31 PDFBibTeX XMLCite \textit{E. Gorsky} and \textit{A. Neguț}, Proc. Lond. Math. Soc. (3) 126, No. 6, 2013--2056 (2023; Zbl 1522.20026) Full Text: DOI arXiv
Mackaay, Marco; Mazorchuk, Volodymyr; Miemietz, Vanessa; Tubbenhauer, Daniel; Zhang, Xiaoting Simple transitive 2-representations of Soergel bimodules for finite Coxeter types. (English) Zbl 1522.18033 Proc. Lond. Math. Soc. (3) 126, No. 5, 1585-1655 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18N10 18D25 16D20 18A50 18N25 20C08 PDFBibTeX XMLCite \textit{M. Mackaay} et al., Proc. Lond. Math. Soc. (3) 126, No. 5, 1585--1655 (2023; Zbl 1522.18033) Full Text: DOI arXiv
Elias, Ben; Ko, Hankyung A singular Coxeter presentation. (English) Zbl 1527.20057 Proc. Lond. Math. Soc. (3) 126, No. 3, 923-996 (2023). MSC: 20F55 20C08 PDFBibTeX XMLCite \textit{B. Elias} and \textit{H. Ko}, Proc. Lond. Math. Soc. (3) 126, No. 3, 923--996 (2023; Zbl 1527.20057) Full Text: DOI arXiv OA License
Hu, Jun; Shi, Lei Graded dimensions and monomial bases for the cyclotomic quiver Hecke superalgebras. (English) Zbl 1522.20027 J. Algebra 635, 642-670 (2023). MSC: 20C08 16G20 PDFBibTeX XMLCite \textit{J. Hu} and \textit{L. Shi}, J. Algebra 635, 642--670 (2023; Zbl 1522.20027) Full Text: DOI arXiv
Klisse, Mario Topological boundaries of connected graphs and Coxeter groups. (English) Zbl 07734206 J. Oper. Theory 89, No. 2, 429-476 (2023). MSC: 20F55 20F65 46L05 46L10 PDFBibTeX XMLCite \textit{M. Klisse}, J. Oper. Theory 89, No. 2, 429--476 (2023; Zbl 07734206) Full Text: DOI arXiv
Libedinsky, Nicolas; Patimo, Leonardo On the affine Hecke category for \(\mathrm{SL}_3\). (English) Zbl 1522.20184 Sel. Math., New Ser. 29, No. 4, Paper No. 64, 42 p. (2023). MSC: 20G05 18B99 05E10 20C08 PDFBibTeX XMLCite \textit{N. Libedinsky} and \textit{L. Patimo}, Sel. Math., New Ser. 29, No. 4, Paper No. 64, 42 p. (2023; Zbl 1522.20184) Full Text: DOI arXiv
Luo, Li; Wang, Weiqiang Lectures on dualities ABC in representation theory. (English) Zbl 07733256 Du, Jie (ed.) et al., Forty years of algebraic groups, algebraic geometry, and representation theory in China. In memory of the centenary year of Xihua Cao’s birth. East China Normal University Scientific Reports 16. Subseries of Symposia and Topic Studies. Singapore: World Scientific. 383-448 (2023). Reviewer: Huafeng Zhang (Villeneuve d’Ascq) MSC: 20C08 17B37 20G42 PDFBibTeX XMLCite \textit{L. Luo} and \textit{W. Wang}, in: Forty years of algebraic groups, algebraic geometry, and representation theory in China. In memory of the centenary year of Xihua Cao's birth. Singapore: World Scientific. 383--448 (2023; Zbl 07733256) Full Text: DOI arXiv
Toma, Radu Hybrid bounds for the sup-norm of automorphic forms in higher rank. (English) Zbl 07731965 Trans. Am. Math. Soc. 376, No. 8, 5573-5600 (2023). Reviewer: Anton Deitmar (Tübingen) MSC: 11F55 11F60 11F72 11R52 PDFBibTeX XMLCite \textit{R. Toma}, Trans. Am. Math. Soc. 376, No. 8, 5573--5600 (2023; Zbl 07731965) Full Text: DOI arXiv
Mathas, Andrew; Tubbenhauer, Daniel Cellularity for weighted KLRW algebras of types \(B\), \(A^{(2)}\), \(D^{(2)}\). (English) Zbl 07731077 J. Lond. Math. Soc., II. Ser. 107, No. 3, 1002-1044 (2023). Reviewer: Anna Lucia Rodriguez Rasmussen (Uppsala) MSC: 16G99 20C08 20C30 20G43 PDFBibTeX XMLCite \textit{A. Mathas} and \textit{D. Tubbenhauer}, J. Lond. Math. Soc., II. Ser. 107, No. 3, 1002--1044 (2023; Zbl 07731077) Full Text: DOI arXiv
Skalski, Adam; Vergnioux, Roland; Voigt, Christian Hecke algebras and the Schlichting completion for discrete quantum groups. (English) Zbl 07731072 J. Lond. Math. Soc., II. Ser. 107, No. 3, 843-885 (2023). Reviewer: Robert Yuncken (Metz) MSC: 46L67 16T20 20C08 20G42 46L05 46L65 PDFBibTeX XMLCite \textit{A. Skalski} et al., J. Lond. Math. Soc., II. Ser. 107, No. 3, 843--885 (2023; Zbl 07731072) Full Text: DOI arXiv
Gurevich, Maxim Simple modules for quiver Hecke algebras and the Robinson-Schensted-Knuth correspondence. (English) Zbl 1521.20010 J. Lond. Math. Soc., II. Ser. 107, No. 2, 704-749 (2023). MSC: 20C08 22D30 16G20 PDFBibTeX XMLCite \textit{M. Gurevich}, J. Lond. Math. Soc., II. Ser. 107, No. 2, 704--749 (2023; Zbl 1521.20010) Full Text: DOI arXiv
Jana, Arindam The pro-\(p\)-Iwahori invariants of the universal quotient representation for \(\mathrm{GL}_2(F)\). (English) Zbl 1526.20070 Int. J. Number Theory 19, No. 8, 1853-1879 (2023). MSC: 20G05 20C08 22E50 11F70 PDFBibTeX XMLCite \textit{A. Jana}, Int. J. Number Theory 19, No. 8, 1853--1879 (2023; Zbl 1526.20070) Full Text: DOI
Benson, Dave; Greenlees, John The singularity and cosingularity categories of \(C^{\ast}BG\) for groups with cyclic Sylow \(p\)-subgroups. (English) Zbl 1523.20093 Algebr. Represent. Theory 26, No. 4, 1181-1216 (2023). Reviewer: Mahender Singh (S.A.S. Nagar) MSC: 20J06 16E45 16G70 55P35 55P60 55S30 PDFBibTeX XMLCite \textit{D. Benson} and \textit{J. Greenlees}, Algebr. Represent. Theory 26, No. 4, 1181--1216 (2023; Zbl 1523.20093) Full Text: DOI arXiv
Hu, Jun; Mathas, Andrew; Rostam, Salim Skew cellularity of the Hecke algebras of type \(G(\ell, p, n)\). (English) Zbl 1520.20010 Represent. Theory 27, 508-573 (2023). MSC: 20C08 16G30 05E10 PDFBibTeX XMLCite \textit{J. Hu} et al., Represent. Theory 27, 508--573 (2023; Zbl 1520.20010) Full Text: DOI arXiv
König, Sebastian Combinatorics of centers of 0-Hecke algebras in type \(A\). (English) Zbl 1522.20155 Electron. J. Comb. 30, No. 3, Research Paper P3.16, 59 p. (2023). Reviewer: Erich W. Ellers (Toronto) MSC: 20F55 05E16 20B30 20C08 PDFBibTeX XMLCite \textit{S. König}, Electron. J. Comb. 30, No. 3, Research Paper P3.16, 59 p. (2023; Zbl 1522.20155) Full Text: DOI arXiv
Abe, Noriyuki On one-sided singular Soergel bimodules. (English) Zbl 1522.20023 J. Algebra 633, 722-753 (2023). Reviewer: Francesco Esposito (Padova) MSC: 20C08 20F55 18B99 PDFBibTeX XMLCite \textit{N. Abe}, J. Algebra 633, 722--753 (2023; Zbl 1522.20023) Full Text: DOI arXiv
Michel, Jean Tower equivalence and Lusztig’s truncated Fourier transform. (English) Zbl 1526.20057 Proc. Am. Math. Soc., Ser. B 10, 252-261 (2023). Reviewer: Felix Schremmer (Hong Kong) MSC: 20F55 05E10 20C08 PDFBibTeX XMLCite \textit{J. Michel}, Proc. Am. Math. Soc., Ser. B 10, 252--261 (2023; Zbl 1526.20057) Full Text: DOI arXiv
Scherich, Nancy Discrete real specializations of sesquilinear representations of the braid groups. (English) Zbl 1522.20143 Algebr. Geom. Topol. 23, No. 5, 2009-2028 (2023). MSC: 20F36 20C08 PDFBibTeX XMLCite \textit{N. Scherich}, Algebr. Geom. Topol. 23, No. 5, 2009--2028 (2023; Zbl 1522.20143) Full Text: DOI arXiv
Bakić, Petar; Savin, Gordan The Gelfand-Graev representation of classical groups in terms of Hecke algebras. (English) Zbl 07720716 Can. J. Math. 75, No. 4, 1343-1368 (2023). Reviewer: Jonathan Cohen (Norman) MSC: 11F70 22E50 20C08 PDFBibTeX XMLCite \textit{P. Bakić} and \textit{G. Savin}, Can. J. Math. 75, No. 4, 1343--1368 (2023; Zbl 07720716) Full Text: DOI arXiv
Bowman, Chris; Cox, Anton; Hazi, Amit Path isomorphisms between quiver Hecke and diagrammatic Bott-Samelson endomorphism algebras. (English) Zbl 1521.20008 Adv. Math. 429, Article ID 109185, 106 p. (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20C08 20G05 20G42 PDFBibTeX XMLCite \textit{C. Bowman} et al., Adv. Math. 429, Article ID 109185, 106 p. (2023; Zbl 1521.20008) Full Text: DOI arXiv
Lenzen, Fabian Clifford-symmetric polynomials. (English) Zbl 07714758 Commun. Algebra 51, No. 9, 3981-4011 (2023). MSC: 16W50 15A66 17A70 13F20 PDFBibTeX XMLCite \textit{F. Lenzen}, Commun. Algebra 51, No. 9, 3981--4011 (2023; Zbl 07714758) Full Text: DOI arXiv
Tubbenhauer, Daniel; Vaz, Pedro Handlebody diagram algebras. (English) Zbl 07714676 Rev. Mat. Iberoam. 39, No. 3, 845-896 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 16G99 20F36 18M30 20C08 57K14 PDFBibTeX XMLCite \textit{D. Tubbenhauer} and \textit{P. Vaz}, Rev. Mat. Iberoam. 39, No. 3, 845--896 (2023; Zbl 07714676) Full Text: DOI arXiv
Hiroshima, Toya Queer supercrystal structure for increasing factorizations of fixed-point-free involution words. (English) Zbl 1518.05201 J. Algebr. Comb. 58, No. 1, 37-67 (2023). MSC: 05E10 17B37 14M15 17B05 PDFBibTeX XMLCite \textit{T. Hiroshima}, J. Algebr. Comb. 58, No. 1, 37--67 (2023; Zbl 1518.05201) Full Text: DOI arXiv
Fock, Vladimir; Tatitscheff, Valdo; Thomas, Alexander Topological quantum field theories from Hecke algebras. (English) Zbl 07710222 Represent. Theory 27, 248-291 (2023). MSC: 20C08 57K16 57K20 PDFBibTeX XMLCite \textit{V. Fock} et al., Represent. Theory 27, 248--291 (2023; Zbl 07710222) Full Text: DOI arXiv
Gurevich, Dimitry; Saponov, Pavel Noncommutative geometry on central extension of \(U(u(2))\). (English) Zbl 1516.17012 J. Math. Phys. 64, No. 6, Article ID 063504, 11 p. (2023). MSC: 17B37 20C08 81R60 58B34 46L87 PDFBibTeX XMLCite \textit{D. Gurevich} and \textit{P. Saponov}, J. Math. Phys. 64, No. 6, Article ID 063504, 11 p. (2023; Zbl 1516.17012) Full Text: DOI arXiv
Crampé, Nicolas; d’Andecy, Loic Poulain Fused braids and centralisers of tensor representations of \(U_q(gl_{N})\). (English) Zbl 1522.20025 Algebr. Represent. Theory 26, No. 3, 901-955 (2023). Reviewer: Dimos Goundaroulis (Lausanne) MSC: 20C08 20G42 22E46 05E10 20F36 PDFBibTeX XMLCite \textit{N. Crampé} and \textit{L. P. d'Andecy}, Algebr. Represent. Theory 26, No. 3, 901--955 (2023; Zbl 1522.20025) Full Text: DOI arXiv
Wang, Frank Toward explicit Hilbert series of quasi-invariant polynomials in characteristic \(p\) and \(q\)-deformed quasi-invariants. (English) Zbl 1515.81143 New York J. Math. 29, 613-634 (2023). MSC: 81R12 13A50 20C08 PDFBibTeX XMLCite \textit{F. Wang}, New York J. Math. 29, 613--634 (2023; Zbl 1515.81143) Full Text: arXiv Link
Tong, Bolun; Wu, Wan Quiver Hecke algebras for Borcherds-Cartan datum. (English) Zbl 07701656 J. Algebra 630, 38-55 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 17B37 17B67 16G20 20C08 PDFBibTeX XMLCite \textit{B. Tong} and \textit{W. Wu}, J. Algebra 630, 38--55 (2023; Zbl 07701656) Full Text: DOI arXiv
Lehrer, Gus; Lyu, Mengfan Generalised Temperley-Lieb algebras of type \(G(r,1,n)\). (English) Zbl 07701449 J. Pure Appl. Algebra 227, No. 10, Article ID 107402, 36 p. (2023). MSC: 16G20 20C08 20G42 PDFBibTeX XMLCite \textit{G. Lehrer} and \textit{M. Lyu}, J. Pure Appl. Algebra 227, No. 10, Article ID 107402, 36 p. (2023; Zbl 07701449) Full Text: DOI arXiv
Back, Allen; Oersted, Bent; Sahi, Siddhartha; Speh, Birgit Askey-Wilson polynomials and branching laws. (English) Zbl 07700640 J. Lie Theory 33, No. 1, 29-77 (2023). MSC: 33D80 33D45 22E47 17B37 PDFBibTeX XMLCite \textit{A. Back} et al., J. Lie Theory 33, No. 1, 29--77 (2023; Zbl 07700640) Full Text: arXiv Link
Green, R. M.; Xu, Tianyuan Kazhdan-Lusztig cells of \(\mathbf{a} \)-value 2 in \(\mathbf{a}(2)\)-finite Coxeter systems. (English) Zbl 1522.20152 Algebr. Comb. 6, No. 3, 727-772 (2023). Reviewer: Felix Schremmer (Hong Kong) MSC: 20F55 20C08 PDFBibTeX XMLCite \textit{R. M. Green} and \textit{T. Xu}, Algebr. Comb. 6, No. 3, 727--772 (2023; Zbl 1522.20152) Full Text: DOI arXiv
Shen, Yaolong; Wang, Weiqiang \(\imath\)Schur duality and Kazhdan-Lusztig basis expanded. (English) Zbl 1522.20028 Adv. Math. 427, Article ID 109131, 40 p. (2023). Reviewer: Hideya Watanabe (Kyōto) MSC: 20C08 17B37 PDFBibTeX XMLCite \textit{Y. Shen} and \textit{W. Wang}, Adv. Math. 427, Article ID 109131, 40 p. (2023; Zbl 1522.20028) Full Text: DOI arXiv
Skryabin, Serge Hecke symmetries associated with the polynomial algebra in 3 commuting indeterminates. (English) Zbl 07693113 J. Algebra 629, 1-20 (2023). Reviewer: Yunnan Li (Guangzhou) MSC: 16T05 17B37 81R50 PDFBibTeX XMLCite \textit{S. Skryabin}, J. Algebra 629, 1--20 (2023; Zbl 07693113) Full Text: DOI arXiv
Tsuchioka, Shunsuke A proof of the second Rogers-Ramanujan identity via Kleshchev multipartitions. (English) Zbl 1528.11111 Proc. Japan Acad., Ser. A 99, No. 3, 23-26 (2023). Reviewer: Mihály Szalay (Budapest) MSC: 11P84 05A15 17B37 PDFBibTeX XMLCite \textit{S. Tsuchioka}, Proc. Japan Acad., Ser. A 99, No. 3, 23--26 (2023; Zbl 1528.11111) Full Text: DOI arXiv
Orr, Daniel Equivariant \(K\)-theory of the semi-infinite flag manifold as a nil-DAHA module. (English) Zbl 1527.20005 Sel. Math., New Ser. 29, No. 3, Paper No. 45, 26 p. (2023). MSC: 20C08 14M15 20G44 14C35 PDFBibTeX XMLCite \textit{D. Orr}, Sel. Math., New Ser. 29, No. 3, Paper No. 45, 26 p. (2023; Zbl 1527.20005) Full Text: DOI arXiv
Abdellatif, Ramla An introduction to \(p\)-modular representations of \(p\)-adic groups. (English) Zbl 1527.11040 Adv. Group Theory Appl. 15, 5-33 (2023). Reviewer: Qing Zhang (Wuhan) MSC: 11F70 11F85 20C08 20C20 20E08 20E42 22E50 20G05 PDFBibTeX XMLCite \textit{R. Abdellatif}, Adv. Group Theory Appl. 15, 5--33 (2023; Zbl 1527.11040) Full Text: Link
Damiani, Celeste; Martin, Paul; Rowell, Eric C. Generalisations of Hecke algebras from loop braid groups. (English) Zbl 07689985 Pac. J. Math. 323, No. 1, 31-65 (2023). MSC: 16T25 18M15 20C08 20F36 PDFBibTeX XMLCite \textit{C. Damiani} et al., Pac. J. Math. 323, No. 1, 31--65 (2023; Zbl 07689985) Full Text: DOI arXiv
Przeździecki, Tomasz Representations of orientifold Khovanov-Lauda-Rouquier algebras and the Enomoto-Kashiwara algebra. (English) Zbl 1522.81149 Pac. J. Math. 322, No. 2, 407-441 (2023). MSC: 81R50 17B37 20C08 18N25 16G20 16W10 13C05 06D22 PDFBibTeX XMLCite \textit{T. Przeździecki}, Pac. J. Math. 322, No. 2, 407--441 (2023; Zbl 1522.81149) Full Text: DOI arXiv
Hellmann, Eugen On the derived category of the Iwahori-Hecke algebra. (English) Zbl 1525.11052 Compos. Math. 159, No. 5, 1042-1110 (2023). Reviewer: Barbara Bošnjak (Zagreb) MSC: 11F70 11S37 11F80 22E50 PDFBibTeX XMLCite \textit{E. Hellmann}, Compos. Math. 159, No. 5, 1042--1110 (2023; Zbl 1525.11052) Full Text: DOI arXiv
Solleveld, Maarten Hochschild homology of twisted crossed products and twisted graded Hecke algebras. (English) Zbl 1523.16010 Ann. \(K\)-Theory 8, No. 1, 81-126 (2023). Reviewer: Hu Jun (Beijing) MSC: 16E40 16S35 PDFBibTeX XMLCite \textit{M. Solleveld}, Ann. \(K\)-Theory 8, No. 1, 81--126 (2023; Zbl 1523.16010) Full Text: DOI arXiv
Douvropoulos, Theo On enumerating factorizations in reflection groups. (English) Zbl 1512.05026 Algebr. Comb. 6, No. 2, 359-385 (2023). MSC: 05A15 05A05 05E10 20C08 20F55 PDFBibTeX XMLCite \textit{T. Douvropoulos}, Algebr. Comb. 6, No. 2, 359--385 (2023; Zbl 1512.05026) Full Text: DOI
Abbasian, Dina; Difulvio, Lena; Muth, Robert; Pasternak, Gabrielle; Sholtes, Isabella; Sinclair, Frances Cuspidal ribbon tableaux in affine type A. (English) Zbl 1516.20015 Algebr. Comb. 6, No. 2, 285-319 (2023). Reviewer: Hu Jun (Beijing) MSC: 20C08 20C30 05E10 PDFBibTeX XMLCite \textit{D. Abbasian} et al., Algebr. Comb. 6, No. 2, 285--319 (2023; Zbl 1516.20015) Full Text: DOI arXiv
Lenart, Cristian; Naito, Satoshi; Orr, Daniel; Sagaki, Daisuke Inverse \(K\)-Chevalley formulas for semi-infinite flag manifolds. II: Arbitrary weights in ADE type. (English) Zbl 07681928 Adv. Math. 423, Article ID 109037, 63 p. (2023). MSC: 20C08 17B37 14M15 14N15 33D52 81R10 PDFBibTeX XMLCite \textit{C. Lenart} et al., Adv. Math. 423, Article ID 109037, 63 p. (2023; Zbl 07681928) Full Text: DOI arXiv