Qiu, Yannan; Xi, Nanhua The based rings of two-sided cells in an affine Weyl group of type \(\tilde{B}_3\), II. (English) Zbl 07964117 Pure Appl. Math. Q. 21, No. 1, 541-566 (2025). Reviewer: Enrico Jabara (Venezia) MSC: 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Xuhua Affine Deligne-Lusztig varieties associated with generic Newton points. (English) Zbl 07964113 Pure Appl. Math. Q. 21, No. 1, 327-339 (2025). MSC: 20G25 11G25 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Freitas, Maico; Mukhin, Evgeny The deformed Tanisaki-Garsia-Procesi modules. (English) Zbl 07981881 Algebr. Represent. Theory 27, No. 6, 2019-2044 (2024). MSC: 17B10 20C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Philippe, Paul Grading of affinized Weyl semigroups of Kac-Moody type. (English) Zbl 07956962 Pac. J. Math. 332, No. 2, 273-320 (2024). MSC: 20F55 20G44 20C08 22E67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stucky, Eric Nathan; Thiel, Marko; Williams, Nathan Strange expectations in affine Weyl groups. (English) Zbl 07940244 Algebr. Comb. 7, No. 5, 1551-1574 (2024). MSC: 05A17 11P81 52B20 20F55 13F60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Xu Hua; Nie, Si An Demazure product of the affine Weyl groups. (Chinese. English summary) Zbl 07938030 Acta Math. Sin., Chin. Ser. 67, No. 2, 296-306 (2024). MSC: 20F55 20G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Massopust, Peter Fractal hypersurfaces, affine Weyl groups, and wavelet sets. (English) Zbl 07928415 J. Anal. 32, No. 1, 399-431 (2024). MSC: 28A80 20F55 51F15 17B22 37L30 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Wada, Kentaro Schur-Weyl dualities for shifted quantum affine algebras and Ariki-Koike algebras. (English) Zbl 07873711 J. Algebra 654, 132-188 (2024). Reviewer: Enrico Jabara (Venezia) MSC: 20C08 20G42 16T20 17B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schremmer, Felix Affine Bruhat order and Demazure products. (English) Zbl 1537.20092 Forum Math. Sigma 12, Paper No. e53, 56 p. (2024). Reviewer: Egle Bettio (Venezia) MSC: 20F55 20C08 14L05 11G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Correa, Francisco; Fring, Andreas; Quintana, Octavio Infinite affine, hyperbolic and Lorentzian Weyl groups with their associated Calogero models. (English) Zbl 1539.81010 J. Phys. A, Math. Theor. 57, No. 5, Article ID 055203, 26 p. (2024). MSC: 81P05 34B20 11F68 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Masuda, Tetsu On additional symmetry and bilinearization of the \(q\)-Painlevé systems associated with the affine Weyl group of type \(A\). (English) Zbl 1545.37061 Lett. Math. Phys. 114, No. 1, Paper No. 9, 27 p. (2024). MSC: 37K60 37J70 37J65 37J37 37K30 39A13 17B80 34M55 × Cite Format Result Cite Review PDF Full Text: DOI
Kato, Syu The formal model of semi-infinite flag manifolds. (English) Zbl 1544.14048 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1600-1622 (2023). MSC: 14M15 14D24 14N35 20G44 22E50 57T15 × Cite Format Result Cite Review PDF Full Text: DOI
Hegedüs, Pál Gelfand pairs for affine Weyl groups. (English) Zbl 1531.20009 Adv. Group Theory Appl. 16, 91-108 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20C15 20F55 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Park, Kanam A \(3 \times 3\) Lax form for the \(q\)-Painlevé equation of type \(E_6\). (English) Zbl 1532.14066 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 094, 17 p. (2023). Reviewer: Vladimir P. Kostov (Nice) MSC: 14H70 34M56 39A13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Awata, Hidetoshi; Hasegawa, Koji; Kanno, Hiroaki; Ohkawa, Ryo; Shakirov, Shamil; Shiraishi, Jun’ichi; Yamada, Yasuhiko Non-stationary difference equation and affine Laumon space: quantization of discrete Painlevé equation. (English) Zbl 1528.14039 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 089, 47 p. (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 81R12 81T40 81T60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bezrukavnikov, Roman; Dawydiak, Stefan; Dobrovolska, Galyna On the structure of the affine asymptotic Hecke algebras. (English) Zbl 1536.20011 Transform. Groups 28, No. 3, 1059-1079 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20C08 20G20 14D24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Volkov, V. D.; Stukopin, V. A. Affine super-Yangian and a quantum Weyl groupoid. (English. Russian original) Zbl 1521.81103 Theor. Math. Phys. 216, No. 3, 1313-1325 (2023); translation from Teor. Mat. Fiz. 216, No. 3, 476-489 (2023). MSC: 81R10 17B65 17B67 22E70 × Cite Format Result Cite Review PDF Full Text: DOI
Jindal, Divya; Jyoti; Vashisht, Lalit Kumar Matrix-valued nonstationary frames associated with the Weyl-Heisenberg group and the extended affine group. (English) Zbl 1528.42041 Int. J. Wavelets Multiresolut. Inf. Process. 21, No. 6, Article ID 2350022, 25 p. (2023). Reviewer: Antonio Galbis (València) MSC: 42C15 42C30 42C40 × Cite Format Result Cite Review PDF Full Text: DOI
Garnier, Arthur Equivariant triangulations of tori of compact Lie groups and hyperbolic extension to non-crystallographic Coxeter groups. (English) Zbl 1523.57035 J. Algebra 635, 527-576 (2023). Reviewer: Bruno Zimmermann (Trieste) MSC: 57R91 57Q15 20F55 20F67 22E99 52B70 55U10 57M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Shi, Jianyi A survey on the cell theory of weighted Coxeter groups. (English) Zbl 1522.20159 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. 331-353 (2023). Reviewer: Marco Trombetti (Napoli) MSC: 20F55 05E10 05E16 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jianpan Partial orderings on affine Weyl groups. (English) Zbl 1527.20076 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. 109-126 (2023). Reviewer: Hu Jun (Beijing) MSC: 20G05 20F55 51F15 × Cite Format Result Cite Review PDF Full Text: DOI
Jindal, Divya; Vashisht, Lalit Kumar Nonstationary frames of translates and frames from the Weyl-Heisenberg group and the extended affine group. (English) Zbl 1525.42031 J. Phys. A, Math. Theor. 56, No. 34, Article ID 345204, 20 p. (2023). Reviewer: K. Parthasarathy (Chennai) MSC: 42C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Batistelli, Karina; Bingham, Aram; Plaza, David Kazhdan-Lusztig polynomials for \(\widetilde{B}_2\). (English) Zbl 1512.05397 J. Pure Appl. Algebra 227, No. 9, Article ID 107385, 37 p. (2023). MSC: 05E10 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takemura, Kouichi On symmetry of \(q\)-Painlevé equations and associated linear equations. (English) Zbl 1549.39016 RIMS Kôkyûroku Bessatsu B91, 103-119 (2023). MSC: 39A36 39A05 05A30 33E17 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Aas, Erik; Ayyer, Arvind; Linusson, Svante; Potka, Samu Limiting directions for random walks in classical affine Weyl groups. (English) Zbl 1524.60258 Int. Math. Res. Not. 2023, No. 4, 3092-3137 (2023). MSC: 60K35 20F55 82C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shi, Jian-yi The second lowest two-sided cell in the affine Weyl group \(\widetilde{B}_n\). (English) Zbl 1517.20073 J. Comb. Theory, Ser. A 196, Article ID 105736, 32 p. (2023). Reviewer: Erich W. Ellers (Toronto) MSC: 20G15 20F55 20G05 × Cite Format Result Cite Review PDF Full Text: DOI
Qiu, Yannan; Xi, Nanhua The based rings of two-sided cells in an affine Weyl group of type \(\tilde{B}_3\). I. (English) Zbl 1512.20017 Sci. China, Math. 66, No. 2, 221-236 (2023). Reviewer: Hongsheng Hu (Beijing) MSC: 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Puente, Philip Steinberg’s fixed point theorem for crystallographic complex reflection groups. (English) Zbl 1516.20086 J. Algebra 619, 505-516 (2023). Reviewer: Marco Trombetti (Napoli) MSC: 20F55 20H15 × Cite Format Result Cite Review PDF Full Text: DOI
Sadhukhan, Arghya Affine Deligne-Lusztig varieties and quantum Bruhat graph. (English) Zbl 1526.11031 Math. Z. 303, No. 1, Paper No. 21, 34 p. (2023). Reviewer: Enric Ventura Capell (Barcelona) MSC: 11G25 20G25 14M15 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chapelier-Laget, Nathan Lattice associated to a Shi variety. (English) Zbl 1547.20132 J. Comb. 14, No. 1, 1-20 (2023). MSC: 20F55 06D75 17B22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gaetz, Christian; Gao, Yibo Minimal elements for the limit weak order on affine Weyl groups. (English) Zbl 1528.20058 Bull. Lond. Math. Soc. 54, No. 5, 1741-1762 (2022). MSC: 20F55 51F15 05E16 20F60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Idomoto, Taiki; Suzuki, Takao An affine Weyl group action on the basic hypergeometric series arising from the \(q\)-Garnier system. (English) Zbl 1521.17088 Lett. Math. Phys. 112, No. 6, Paper No. 121, 22 p. (2022). MSC: 17B80 33D15 34M56 39A13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Besson, Marc; Hong, Jiuzu A combinatorial study of affine Schubert varieties in the affine Grassmannian. (English) Zbl 1532.14084 Transform. Groups 27, No. 4, 1189-1221 (2022). Reviewer: Michael Bate (York) MSC: 14M15 20G05 05E16 16G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ishii, Motohiro Tableau models for semi-infinite Bruhat order and level-zero representations of quantum affine algebras. (English) Zbl 1522.05497 Algebr. Comb. 5, No. 5, 1089-1164 (2022). MSC: 05E10 17B37 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Welch, Amanda Classification of cocovers in the double affine Bruhat order. (English) Zbl 1503.05129 Electron. J. Comb. 29, No. 4, Research Paper P4.7, 19 p. (2022). MSC: 05E16 20F55 06A07 × Cite Format Result Cite Review PDF Full Text: DOI
Regelskis, Vidas; Vlaar, Bart Pseudo-symmetric pairs for Kac-Moody algebras. (English) Zbl 1512.17046 Koelink, Erik (ed.) et al., Hypergeometry, integrability and Lie theory. Virtual conference, Lorentz Center, Leiden, the Netherlands, December 7–11, 2020. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 780, 155-203 (2022). MSC: 17B67 17B22 17B37 17B40 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jindal, Divya; Vashisht, Lalit Kumar Frames with several generators associated with Weyl-Heisenberg group and extended affine group. (English) Zbl 1505.42034 Bull. Malays. Math. Sci. Soc. (2) 45, No. 5, 2413-2430 (2022). Reviewer: Mahesh Krishna K. (Bangalore) MSC: 42C15 42C30 42C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Görtz, Ulrich; He, Xuhua; Rapoport, Michael Extremal cases of Rapoport-Zink spaces. (English) Zbl 1498.14059 J. Inst. Math. Jussieu 21, No. 5, 1727-1782 (2022). Reviewer: Lei Yang (Beijing) MSC: 14G35 20G25 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, Shilin; Zuo, Dafeng Frobenius manifolds and a new class of extended affine Weyl groups of BCD-type. (English) Zbl 1507.53087 J. Geom. Phys. 180, Article ID 104622, 26 p. (2022). Reviewer: Xiaojun Chen (Chengdu) MSC: 53D45 32M10 × Cite Format Result Cite Review PDF Full Text: DOI
Morales-Salgado, Vicente Said An affine Weyl group characterization of polynomial Heisenberg algebras. (English) Zbl 1502.81038 Ann. Phys. 444, Article ID 169037, 11 p. (2022). MSC: 81Q60 81S05 35R03 11F68 34M55 37K35 81R05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gorelik, Maria; Serganova, Vera Snowflake modules and Enright functor for Kac-Moody superalgebras. (English) Zbl 1500.17009 Algebra Number Theory 16, No. 4, 839-879 (2022). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B10 17B67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bezrukavnikov, Roman; Riche, Simon Hecke action on the principal block. (English) Zbl 07566234 Compos. Math. 158, No. 5, 953-1019 (2022). MSC: 20G05 20C08 17B45 14F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Qiu, Yannan Some translations in the second lowest two-sided cell of an affine Weyl group. (English) Zbl 1514.20182 J. Pure Appl. Algebra 226, No. 11, Article ID 107084, 28 p. (2022). MSC: 20G05 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adin, Ron M.; Hegedüs, Pál; Roichman, Yuval Combinatorial flip actions and Gelfand pairs for affine Weyl groups. (English) Zbl 1515.20190 J. Algebra 607, Part A, 5-33 (2022). MSC: 20F55 05E16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Finkelberg, Michael; Kazhdan, David; Varshavsky, Yakov Lusztig conjectures on \(S\)-cells in affine Weyl groups. (English) Zbl 1522.20191 Isr. J. Math. 247, No. 1, 379-404 (2022). Reviewer: Egle Bettio (Venezia) MSC: 20G15 14L35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yousofzadeh, Malihe Classification of bases of twisted affine root supersystems. (English) Zbl 1521.17060 J. Algebr. Comb. 55, No. 3, 919-978 (2022). MSC: 17B67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dhillon, Gurbir; Khare, Apoorva The weights of simple modules in category \(\mathcal{O}\) for Kac-Moody algebras. (English) Zbl 1531.17008 J. Algebra 603, 164-200 (2022). Reviewer: Andrea Appel (Parma) MSC: 17B10 17B67 22E47 17B37 20G42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Azam, Saeid; Soltani, Mohammad Bagher; Tomie, Masaya; Yoshii, Yoji Characterization and enumeration of reflectable bases of types \(E_{6,7,8}\). (English) Zbl 1515.17036 Commun. Algebra 50, No. 6, 2694-2718 (2022). Reviewer: Takao Imai (Chiba) MSC: 17B67 20F55 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Weijia Reduced expression of minimal infinite reduced words of affine Weyl groups. (English) Zbl 1515.20204 J. Algebra 597, 275-298 (2022). MSC: 20F55 20F10 20F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Joshi, Nalini; Kajiwara, Kenji; Masuda, Tetsu; Nakazono, Nobutaka Discrete power functions on a hexagonal lattice. I: Derivation of defining equations from the symmetry of the Garnier system in two variables. (English) Zbl 1519.37101 J. Phys. A, Math. Theor. 54, No. 33, Article ID 335202, 27 p. (2021). MSC: 37K60 39A12 39A36 53A70 30G25 34M55 52C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Crampé, Nicolas; Frappat, Luc; Gaboriaud, Julien; Poulain d’Andecy, Loïc; Ragoucy, Eric; Vinet, Luc The Askey-Wilson algebra and its avatars. (English) Zbl 1519.81276 J. Phys. A, Math. Theor. 54, No. 6, Article ID 063001, 32 p. (2021). MSC: 81R05 33D45 17B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Gaetz, Christian; Gao, Yibo Minimal elements for the limit weak order on affine Weyl groups. (English) Zbl 1515.20196 Sémin. Lothar. Comb. 85B, Article 40, 12 p. (2021). MSC: 20F55 05E16 20F60 51F15 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Stucky, Eric Nathan; Thiel, Marko; Williams, Nathan Strange expectations in affine Weyl groups. (English) Zbl 1507.05107 Sémin. Lothar. Comb. 85B, Article 36, 12 p. (2021). MSC: 05E16 05A17 × Cite Format Result Cite Review PDF Full Text: Link
Hu, Naihong; Zhuang, Rushu A novel quantum affine algebra of type \(a_1^{(1)}\) and its PBW basis. (English) Zbl 1506.16042 Andruskiewitsch, Nicolás (ed.) et al., Hopf algebras and tensor categories. International workshop, Nanjing University, Nanjing, China, September 9–13, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 771, 153-170 (2021). MSC: 16T05 17B37 × Cite Format Result Cite Review PDF Full Text: DOI
Motegi, Yuki Strong minuscule elements in the finite Weyl groups. (English) Zbl 1487.05275 Tsukuba J. Math. 45, No. 2, 117-134 (2021). MSC: 05E10 05A15 17B10 17B67 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Suzuki, Takao A Lax formulation of a generalized \(q\)-Garnier system. (English) Zbl 1511.37072 Math. Phys. Anal. Geom. 24, No. 4, Paper No. 38, 12 p. (2021). MSC: 37J70 37J65 17B80 14E05 39A36 39A13 34M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bowman, Joshua P. Iterated monodromy groups of Chebyshev-like maps on \(\mathbb{C}^n\). (English) Zbl 1489.37068 Groups Geom. Dyn. 15, No. 2, 639-653 (2021). Reviewer: Marco Abate (Pisa) MSC: 37F80 37F20 32H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yun, Zhiwei Minimal reduction type and the Kazhdan-Lusztig map. (English) Zbl 1537.20116 Indag. Math., New Ser. 32, No. 6, 1240-1274 (2021). MSC: 20G05 20G15 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, Ge; Wang, Liping Some Kazhdan-Lusztig coefficients of affine Weyl group of type \(\widetilde{B}_2\). (English) Zbl 1547.20156 Algebra Colloq. 28, No. 4, 541-554 (2021). MSC: 20G05 20F55 × Cite Format Result Cite Review PDF Full Text: DOI
Moriyama, Sanefumi; Yamada, Yasuhiko Quantum representation of affine Weyl groups and associated quantum curves. (English) Zbl 1476.39008 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 076, 24 p. (2021). MSC: 39A13 39A36 37J65 34M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cotton, Benjamin; Williams, Nathan F. A core model for \(G_2\). (English) Zbl 1475.05173 Involve 14, No. 3, 401-412 (2021). MSC: 05E18 05E10 05A17 × Cite Format Result Cite Review PDF Full Text: DOI
Azam, Saeid; Parishani, Fatemeh Cayley graph characterization of geometric reflections. (English) Zbl 1543.20045 J. Lie Theory 31, No. 2, 413-438 (2021). Reviewer: Hongsheng Hu (Changsha) MSC: 20F55 17B67 05C25 × Cite Format Result Cite Review PDF Full Text: Link
Dyer, Matthew; Wang, Weijia Oriented matroid structures from realized root systems. (English) Zbl 1467.05026 J. Algebr. Comb. 53, No. 4, 945-971 (2021). MSC: 05B35 20F55 52B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wei, Yuli; Wang, Liping; Luo, Xin; Dai, Jiahua The Kazhdan-Lusztig coefficients in the lowest two-sided cells for an affine Weyl group of type \({{\tilde A}_3}\). (Chinese. English summary) Zbl 1474.20082 Math. Pract. Theory 51, No. 3, 290-301 (2021). MSC: 20F55 20C08 20G05 × Cite Format Result Cite Review PDF
Feng, Ge; Hu, Naihong; Zhuang, Rushu Another admissible quantum affine algebra of type \(A_1^{(1)}\) with quantum Weyl group. (English) Zbl 1494.17008 J. Geom. Phys. 165, Article ID 104218, 16 p. (2021). Reviewer: Sonia Natale (Córdoba) MSC: 17B37 16T05 × Cite Format Result Cite Review PDF Full Text: DOI
Dasgupta, Aparajita; Nayak, Santosh Kumar; Wong, M. W. Hilbert-Schmidt and trace class pseudo-differential operators and Weyl transforms on the affine group. (Hilbert-schimdt and trace class pseudo-differential operators and Weyl transforms on the affine group.) (English) Zbl 1543.47098 J. Pseudo-Differ. Oper. Appl. 12, No. 1, Paper No. 11, 19 p. (2021). MSC: 47G30 47B10 × Cite Format Result Cite Review PDF Full Text: DOI
Almeida, Guilherme F. The differential geometry of the orbit space of extended affine Jacobi group \(A_1\). (English) Zbl 1477.53111 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 022, 39 p. (2021). Reviewer: Sergiy Koshkin (Houston) MSC: 53D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carbone, Lisa; Raghavan, K. N.; Ransingh, Biswajit; Roy, Krishanu; Viswanath, Sankaran \(\pi \)-systems of symmetrizable Kac-Moody algebras. (English) Zbl 1467.17004 Lett. Math. Phys. 111, No. 1, Paper No. 5, 24 p. (2021). Reviewer: Robert McRae (Beijing) MSC: 17B22 17B67 17B81 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Weijia Local finiteness of the twisted Bruhat orders on affine Weyl groups. (English) Zbl 1473.20045 J. Group Theory 24, No. 1, 129-160 (2021). Reviewer: Erich W. Ellers (Toronto) MSC: 20F55 51F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gazeau, Jean Pierre; Habonimana, Célestin Signal analysis and quantum formalism: quantizations with no Planck constant. (English) Zbl 1479.94061 Boggiatto, Paolo (ed.) et al., Landscapes of time-frequency analysis. Based on talks given at the second international conference on aspects of time-frequency analysis (ATFA 19), Politecnico di Torino, Torino, Italy, June 25–27, 2019. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 135-155 (2020). MSC: 94A12 42C15 42C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carnovale, Giovanna; Esposito, Francesco Affine hyperplane arrangements and Jordan classes. (English) Zbl 1511.20192 J. Comb. Algebra 4, No. 4, 397-446 (2020). MSC: 20G20 20F55 14N20 52C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andersen, Jørgen Ellegaard; Jantzen, Jens Carsten; Pei, Du Identities for Poincaré polynomials via Kostant cascades. (English) Zbl 1530.20117 J. Lie Theory 30, No. 4, 1131-1160 (2020). MSC: 20F55 17B22 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Noumi, Masatoshi On some explicit representations of the elliptic Painlevé equation. (English) Zbl 1464.37066 Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer. Springer Proc. Math. Stat. 338, 191-212 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 37J65 34M04 34M25 34M55 × Cite Format Result Cite Review PDF Full Text: DOI
Suzuki, Takao; Okubo, Naoto Cluster algebra and \(q\)-Painlevé equations: higher order generalization and degeneration structure. (English) Zbl 1457.39006 RIMS Kôkyûroku Bessatsu B78, 53-75 (2020). MSC: 39A13 17B80 34M55 37J70 37J65 37J37 13F60 × Cite Format Result Cite Review PDF Full Text: Link
Masuda, Tetsu Bilinearization of the \(q\)-Sasano system of type \(D^{(1)}_7\) and special polynomials associated with its rational solutions. (English) Zbl 1462.14015 RIMS Kôkyûroku Bessatsu B78, 1-27 (2020). Reviewer: Thomas Ernst (Uppsala) MSC: 14E07 33D99 33E17 33E30 05A30 × Cite Format Result Cite Review PDF Full Text: Link
Iohara, Kenji; Saito, Yoshihisa Invariants of the Weyl group of type \(A^{(2)}_{2l}\). (English) Zbl 1500.17011 Pure Appl. Math. Q. 16, No. 3, 337-369 (2020). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B10 17B67 11F50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Ishii, Motohiro Semi-infinite Young tableaux and standard monomial theory for semi-infinite Lakshmibai-Seshadri paths. (English) Zbl 1452.05189 Algebr. Comb. 3, No. 5, 1141-1163 (2020). MSC: 05E10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Haifeng; Li, Chuanzhong Affine Weyl group symmetries of Frobenius Painlevé equations. (English) Zbl 1451.37097 Math. Methods Appl. Sci. 43, No. 6, 3238-3252 (2020). MSC: 37L65 37K10 37K30 35Q53 34M55 × Cite Format Result Cite Review PDF Full Text: DOI
Hart, Sarah; Sbeiti Clarke, Amal Commuting involution graphs in classical affine Weyl groups. (English) Zbl 1485.20099 Commun. Algebra 48, No. 7, 2941-2957 (2020). MSC: 20F55 05C25 05E18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Zuo, Dafeng Frobenius manifolds and a new class of extended affine Weyl groups of a-type. (English) Zbl 1447.53074 Lett. Math. Phys. 110, No. 7, 1903-1940 (2020). Reviewer: Yassir Dinar (Masqat) MSC: 53D45 32M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Thiel, Marko; Williams, Nathan Strange expectations and simultaneous cores. (English. French summary) Zbl 1440.05035 Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4–8, 2016. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 1159-1170 (2020). MSC: 05A17 05E10 20C30 11P81 20F55 × Cite Format Result Cite Review PDF Full Text: Link
Lusztig, G. Conjugacy classes in reductive groups and two-sided cells. (English) Zbl 1472.20107 Bull. Inst. Math., Acad. Sin. (N.S.) 14, No. 3, 265-293 (2019). MSC: 20G20 20G05 20E45 22E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Azam, Saeid; Soltani, Mohammad Bagher; Tomie, Masaya; Yoshii, Yoji A graph-theoretical classification for reflectable bases. (English) Zbl 1464.17016 Publ. Res. Inst. Math. Sci. 55, No. 4, 689-736 (2019). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B22 17B67 17B65 20F55 51F15 × Cite Format Result Cite Review PDF Full Text: DOI
Kitanov, Ksenija Higher-order congruence relations on affine moment graphs: the subgeneric case. (English) Zbl 1461.17012 J. Algebra 537, 1-25 (2019). MSC: 17B22 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Weijia Infinite reduced words, lattice property and braid graph of affine Weyl groups. (English) Zbl 1435.20054 J. Algebra 536, 170-214 (2019). Reviewer: Egle Bettio (Venezia) MSC: 20F55 05E16 20F10 05C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dubrovin, Boris; Strachan, Ian A. B.; Zhang, Youjin; Zuo, Dafeng Extended affine Weyl groups of BCD-type: their Frobenius manifolds and Landau-Ginzburg superpotentials. (English) Zbl 1418.53088 Adv. Math. 351, 897-946 (2019). MSC: 53D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Azam, Saeid; Kharaghani, Zahra Combinatorics of extended affine root systems (type \(A_1\)). (English) Zbl 1452.17014 J. Algebra Appl. 18, No. 3, Article ID 1950051, 22 p. (2019). MSC: 17B22 17B67 20F55 × Cite Format Result Cite Review PDF Full Text: DOI
Glick, Max; Pylyavskyy, Pavlo Discrete solitons in infinite reduced words. (English) Zbl 1516.39007 Transform. Groups 24, No. 1, 31-66 (2019). MSC: 39A36 39A12 37K40 35C08 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Futorny, Vyacheslav; Křižka, Libor; Somberg, Petr Geometric realizations of affine Kac-Moody algebras. (English) Zbl 1423.22020 J. Algebra 528, 177-216 (2019). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 22E67 22E70 22E65 17B67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Defosseux, Manon Kirillov-Frenkel character formula for loop groups, radial part and Brownian sheet. (English) Zbl 1473.17065 Ann. Probab. 47, No. 2, 1036-1055 (2019). MSC: 17B67 60J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Tikaradze, Akaki The Weyl algebra as a fixed ring. (English) Zbl 1461.13029 Adv. Math. 345, 756-766 (2019). Reviewer: Alexander B. Levin (Washington) MSC: 13N10 16S32 13A50 14R20 16S30 17B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dobrev, Vladimir K. Invariant differential operators. Volume 4: AdS/CFT, (super-)Virasoro, affine (super-)algebras. (English) Zbl 1418.17002 De Gruyter Studies in Mathematical Physics 53. Berlin: De Gruyter (ISBN 978-3-11-060968-4/hbk; 978-3-11-061140-3/ebook). ix, 231 p. (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17-02 17B60 17B68 17B37 81R40 × Cite Format Result Cite Review PDF Full Text: DOI
Puente, Philip; Shepler, Anne V. Steinberg’s theorem for crystallographic complex reflection groups. (English) Zbl 1481.20187 J. Algebra 522, 332-350 (2019). Reviewer: Jenö Szirmai (Budapest) MSC: 20H15 20F55 51F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Xuhua Some results on affine Deligne-Lusztig varieties. (English) Zbl 1441.14147 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 1345-1365 (2018). MSC: 14L05 20G25 11G18 14G35 20G40 14L30 20C08 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hong, Jiuzu Fusion rings revisited. (English) Zbl 1462.17027 Jing, Naihuan (ed.) et al., Representations of Lie algebras, quantum groups and related topics. AMS special session, North Carolina State University, Raleigh, NC, USA, November 12–13, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 713, 135-147 (2018). MSC: 17B67 81T40 20G44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gizatullin, Marat Two examples of affine homogeneous varieties. (English) Zbl 1436.14105 Eur. J. Math. 4, No. 3, 1035-1064 (2018). MSC: 14R20 14R10 14L30 14M17 17B22 20G41 × Cite Format Result Cite Review PDF Full Text: DOI
Lam, Thomas; Postnikov, Alexander Alcoved polytopes. II. (English) Zbl 1414.52007 Kac, Victor G. (ed.) et al., Lie groups, geometry, and representation theory. A tribute to the life and work of Bertram Kostant. Cham: Birkhäuser. Prog. Math. 326, 253-272 (2018). MSC: 52B12 52B11 05E10 20F55 13P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stokes, Alexander Full-parameter discrete Painlevé systems from non-translational Cremona isometries. (English) Zbl 1411.34116 J. Phys. A, Math. Theor. 51, No. 49, Article ID 495206, 31 p. (2018). MSC: 34M55 14H70 14E07 33D52 39A12 39A10 37K10 37K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xi, Nanhua Canonical left cells and the lowest two-sided cell in an affine Weyl group. (English) Zbl 1464.20001 Bull. Inst. Math., Acad. Sin. (N.S.) 13, No. 3, 351-363 (2018). MSC: 20C08 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv