Representation Theory

Authors and titles for October 2023

[1] arXiv:2310.00103 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Linkage principle for small quantum groups Show Chinese title

Title: 小量子群的链式原理

Cristian Vay

Subjects: Representation Theory (math.RT)

[2] arXiv:2310.00170 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Disconnected reductive groups Show Chinese title

Title: disconnected reductive groups

Marisa Gaetz, David Vogan

Comments: 13 pages

Journal-ref: Journal of Lie Theory 34 (2024), No. 2, 469--480

Subjects: Representation Theory (math.RT)

[3] arXiv:2310.00323 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Relative Weyl Character formula, Relative Pieri formulas and Branching rules for Classical groups Show Chinese title

Title: 相对Weyl特征公式，相对Pieri公式和经典群的分支规则

C.S. Rajan, Sagar Shrivastava

Comments: 35 pages

Subjects: Representation Theory (math.RT)

[4] arXiv:2310.00358 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: On $τ$-tilting finite Borel-Schur algebras Show Chinese title

Title: 关于$τ$-倾斜有限的Borel-Schur代数

Qi Wang

Comments: 33 pages, some new properties of Borel-Schur algebras have been added, and some typos have been corrected

Subjects: Representation Theory (math.RT)

[5] arXiv:2310.00373 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Homological stability and Graham-Lehrer cellular algebras Show Chinese title

Title: 同调稳定性与格雷厄姆-勒尔细胞代数

Guy Boyde

Comments: Minor edits. 44 pages, comments (especially from the rep theory side) very welcome!

Subjects: Representation Theory (math.RT) ; Algebraic Topology (math.AT)

[6] arXiv:2310.00521 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Minimal special degenerations and duality Show Chinese title

Title: 最小特殊退化和对偶性

Daniel Juteau, Paul Levy, Eric Sommers

Comments: 40 pages

Subjects: Representation Theory (math.RT)

[7] arXiv:2310.00735 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Twisted Jacquet modules: a conjecture of D. Prasad Show Chinese title

Title: 扭曲雅各布模块：D. 普拉萨德的猜想

Santosh Nadimpalli, Mihir Sheth

Comments: Small corrections and further explanations in the proof of Theorem 4.8

Subjects: Representation Theory (math.RT) ; Number Theory (math.NT)

[8] arXiv:2310.00799 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Semi-simple Lie algebras are determined by their Iwasawa subalgebras Show Chinese title

Title: 半单李代数由其Iwasawa子代数确定

Jonathan Epstein, Michael Jablonski

Comments: 7 pages, main theorem improved in new version

Subjects: Representation Theory (math.RT) ; Differential Geometry (math.DG)

[9] arXiv:2310.00855 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Equivariant Schubert calculus and geometric Satake Show Chinese title

Title: 等变Schubert计算和几何Satake

Antoine Labelle

Comments: 10 pages

Subjects: Representation Theory (math.RT) ; Algebraic Geometry (math.AG)

[10] arXiv:2310.01131 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Categorified Jones-Wenzl Projectors and Generalizations Show Chinese title

Title: 分类化的琼斯-文茨尔投影算子及其推广

Zbigniew Wojciechowski

Comments: The categorification part in the title is discussed in the 5th chapter which is not included

Subjects: Representation Theory (math.RT) ; Geometric Topology (math.GT) ; Quantum Algebra (math.QA)

[11] arXiv:2310.01555 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: The Lie superalgebra of transpositions Show Chinese title

Title: 交换的李超代数

Christopher M. Drupieski, Jonathan R. Kujawa

Comments: 30 pages. The third version contains minor corrections that do not affect the results. The paper will appear in Algebras and Representation Theory

Subjects: Representation Theory (math.RT) ; Group Theory (math.GR) ; Rings and Algebras (math.RA)

[12] arXiv:2310.01700 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Exceptional sequences of type $B_n/C_n$ and those in the abelian tube Show Chinese title

Title: 例外序列类型$B_n/C_n$以及阿贝尔管中的那些

Kiyoshi Igusa, Emre Sen

Comments: 37 pages, 16 figures. Presented by the first author at the University of Sherbrooke, Sept 23, 2023. v2: Reference [7] added. Apparent contradiction explained in Remark 4.3. v3: title changed, new results pushed into introduction

Subjects: Representation Theory (math.RT) ; Combinatorics (math.CO)

[13] arXiv:2310.01834 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Mutations and derived equivalences for commutative noetherian rings Show Chinese title

Title: 突变和交换诺特环的导出等价性

Jorge Vitória

Comments: Submitted to the proceedings of the International Conference on Representations of Algebras (ICRA) 2022; Comments are welcome!

Subjects: Representation Theory (math.RT) ; Commutative Algebra (math.AC) ; Rings and Algebras (math.RA)

[14] arXiv:2310.02150 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Morita equivalence classes of blocks with extraspecial defect groups $p_+^{1+2}$ Show Chinese title

Title: Morita等价类的具有额外特殊缺陷群的块 $p_+^{1+2}$

Jianbei An, Charles W. Eaton

Subjects: Representation Theory (math.RT) ; Group Theory (math.GR)

[15] arXiv:2310.02403 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: 4-Strand Burau is Unfaithful Modulo 5 Show Chinese title

Title: 4-链Burau在模5下不忠实

Joel Gibson, Geordie Williamson, Oded Yacobi

Comments: 10 pages, 5 figures

Subjects: Representation Theory (math.RT)

[16] arXiv:2310.02844 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: The heart fan of an abelian category Show Chinese title

Title: 阿贝尔范畴的心扇

Nathan Broomhead, David Pauksztello, David Ploog, Jon Woolf

Comments: v1 30 pages. v2 major revision: replaced section on scattering diagrams by universal phase diagrams; introduce and use cofans over dual face fans; 13 fan diagrams, 36 pages

Subjects: Representation Theory (math.RT) ; Algebraic Geometry (math.AG)

[17] arXiv:2310.02912 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Positivity for toric Kac polynomials in higher depth Show Chinese title

Title: 高阶深度中环面Kac多项式的正性

Tanguy Vernet

Comments: 35 pages, comments welcome!

Subjects: Representation Theory (math.RT) ; Algebraic Geometry (math.AG)

[18] arXiv:2310.02917 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Fusion-stable structures on triangulated categories Show Chinese title

Title: 三角范畴上的融合稳定结构

Yu Qiu, Xiaoting Zhang

Comments: Final version

Subjects: Representation Theory (math.RT) ; Quantum Algebra (math.QA)

[19] arXiv:2310.03153 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Quantum category O vs affine Hecke category Show Chinese title

Title: 量子范畴 O 与仿射 Hecke 范畴

Ivan Losev

Comments: 63 pages

Subjects: Representation Theory (math.RT)

[20] arXiv:2310.03305 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Harish-Chandra bimodules over quantized flower quiver varieties with minimal support Show Chinese title

Title: 哈里什-钱德拉双模在具有最小支撑的量子花形箭图变体上

Yaochen Wu

Subjects: Representation Theory (math.RT)

[21] arXiv:2310.03306 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Bangle functions are the generic basis for cluster algebras from punctured surfaces with boundary Show Chinese title

Title: Bangle 函数是带有边界的打孔曲面的簇代数的通用基础

Christof Geiß, Daniel Labardini-Fragoso, Jon Wilson

Comments: 47 pages, 12 figures. V3: Comments on "peculiar" ability to evaluate Euler characteristics added (see section 7), references updated

Subjects: Representation Theory (math.RT) ; Combinatorics (math.CO)

[22] arXiv:2310.03566 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Frobenius--Schur indicators for twisted Real representation theory and two dimensional unoriented topological field theory Show Chinese title

Title: 弗罗贝尼乌斯-施瓦茨指标在扭曲实表示理论和二维非定向拓扑场论中的应用

Levi Gagnon-Ririe, Matthew B. Young

Comments: 24 pages

Subjects: Representation Theory (math.RT) ; Quantum Algebra (math.QA)

[23] arXiv:2310.03626 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: The cluster complex for cluster Poisson varieties and representations of acyclic quivers Show Chinese title

Title: 簇复形对于簇泊松流形和无圈图的表示

Carolina Melo, Alfredo Nájera Chávez

Comments: 20 pages, comments are welcome

Subjects: Representation Theory (math.RT) ; Algebraic Geometry (math.AG) ; Combinatorics (math.CO)

[24] arXiv:2310.04012 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Self-injective algebras under derived equivalences Show Chinese title

Title: 自投射代数在导出等价下

Changchang Xi, Jin Zhang

Comments: 11 pages. Corollary 5.5 is reformulated

Journal-ref: J. Pure Appl. ALgebra 229(1), (2025), Paper No. 107795

Subjects: Representation Theory (math.RT) ; Rings and Algebras (math.RA)

[25] arXiv:2310.04046 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Simple Modules Over Quantized Weyl Algebras At Roots Of Unity Show Chinese title

Title: 单位根处的量子Weyl代数上的单模

Sanu Bera, Snehashis Mukherjee

Comments: 15 pages

Subjects: Representation Theory (math.RT) ; Quantum Algebra (math.QA)

[26] arXiv:2310.04048 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Simple Modules and Azumaya Loci over the PI quantized Weyl Algebras Show Chinese title

Title: 简单模和PI量子化Weyl代数上的Azumaya点

Sanu Bera, Snehashis Mukherjee

Comments: 29 pages. Comments are welcomed

Subjects: Representation Theory (math.RT)

[27] arXiv:2310.04695 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Geometric model for weighted projective lines of type $(p,q)$ Show Chinese title

Title: 加权射线的几何模型$(p,q)$

Jianmin Chen, Shiquan Ruan, Hongxia Zhang

Comments: 36pages

Subjects: Representation Theory (math.RT)

[28] arXiv:2310.04728 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Baxterization for the dynamical Yang-Baxter equation Show Chinese title

Title: 动态Yang-Baxter方程的Baxter化

Muze Ren

Comments: Corrected many typos, added the hyperbolic and affine ADE cases

Subjects: Representation Theory (math.RT) ; Mathematical Physics (math-ph) ; Quantum Algebra (math.QA) ; Exactly Solvable and Integrable Systems (nlin.SI)

[29] arXiv:2310.04773 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Equivariant deformation theory for nilpotent slices in symplectic Lie algebras Show Chinese title

Title: 辛李代数中幂零截面的等变形理论

Filippo Ambrosio, Lewis Topley

Comments: 20 pages

Subjects: Representation Theory (math.RT) ; Algebraic Geometry (math.AG) ; Quantum Algebra (math.QA)

[30] arXiv:2310.04839 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Clifford algebras, symmetric spaces and cohomology rings of Grassmannians Show Chinese title

Title: 克利福德代数，对称空间和格拉斯曼流形的上同调环

Kieran Calvert, Kyo Nishiyama, Pavle Pandžić

Comments: 46 pages

Subjects: Representation Theory (math.RT) ; Differential Geometry (math.DG)

[31] arXiv:2310.04849 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Motivic cluster multiplication formulas in 2-Calabi-Yau categories Show Chinese title

Title: 2-卡拉比-丘范畴中的动机簇乘法公式

Jie Xiao, Fan Xu, Fang Yang

Comments: Comments are welcome

Subjects: Representation Theory (math.RT)

[32] arXiv:2310.06172 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Hypertoric 2-categories O and symplectic duality Show Chinese title

Title: 超环面2-范畴O和辛对偶性

Benjamin Gammage, Justin Hilburn

Comments: 38 pages. v2: Revisions throughout, references updated

Subjects: Representation Theory (math.RT) ; High Energy Physics - Theory (hep-th) ; Algebraic Geometry (math.AG) ; Symplectic Geometry (math.SG)

[33] arXiv:2310.06386 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Semi-infinite parabolic IC-sheaf Show Chinese title

Title: 半无限抛物型IC层

G. Dhillon, S. Lysenko

Comments: 93p; a mistake made in version 2 is corrected

Subjects: Representation Theory (math.RT)

[34] arXiv:2310.06669 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Yangians, Mirabolic Subalgebras, and Whittaker Vectors Show Chinese title

Title: 杨代数，迷幻子代数和惠特aker向量

Artem Kalmykov

Journal-ref: SIGMA 21 (2025), 025, 54 pages

Subjects: Representation Theory (math.RT) ; Quantum Algebra (math.QA)

[35] arXiv:2310.06761 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Symmetric Semi-invariants for some Inonu-Wigner contractions Show Chinese title

Title: 对某些伊诺-维格纳收缩的对称半不变量

Florence Fauquant-Millet

Comments: 38 pages

Subjects: Representation Theory (math.RT)

[36] arXiv:2310.07302 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Schanuel's lemma for extriangulated categories Show Chinese title

Title: Schanuel 的引理对于扩张范畴

Hangyu Yin

Comments: 12 pages

Subjects: Representation Theory (math.RT)

[37] arXiv:2310.07415 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: On the reducibility of scalar generalized Verma modules associated to two-step nilpotent parabolic subalgebras Show Chinese title

Title: 关于与两步幂零抛物子代数相关的标量广义韦尔模的约化性

Zhanqiang Bai, Minyan Fang, Zhaojun Wang

Comments: 42pages. arXiv admin note: text overlap with arXiv:2205.05362; text overlap with arXiv:2306.01231 by other authors

Subjects: Representation Theory (math.RT)

[38] arXiv:2310.07500 (cross-list from math.RT) [cn-pdf, pdf, html, other]

Title: Large-scale Monte Carlo simulations for zeros in character tables of symmetric groups Show Chinese title

Title: 对称群特征表中零的大规模蒙特卡罗模拟

Alexander R. Miller, Danny Scheinerman

Subjects: Representation Theory (math.RT) ; Combinatorics (math.CO) ; Group Theory (math.GR) ; Number Theory (math.NT)

[39] arXiv:2310.08050 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: $\mathfrak{g}_0$-Geometry and Its Relationship with Stable Representations Show Chinese title

Title: $\mathfrak{g}_0$-几何及其与稳定表示的关系

Shang Xu

Comments: 21 pages

Subjects: Representation Theory (math.RT) ; Algebraic Geometry (math.AG)

[40] arXiv:2310.08090 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Representations and binomial coefficients Show Chinese title

Title: 表示和二项式系数

Peter Fiebig

Comments: 32 pages, minor changes with respect to v1

Subjects: Representation Theory (math.RT)

[41] arXiv:2310.08156 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Full runner removal theorem for Ariki-Koike algebras Show Chinese title

Title: 全运行器消除定理对于Ariki-Koike代数

Alice Dell'Arciprete

Comments: Minor revisions. To appear on the Journal of Algebra. arXiv admin note: text overlap with arXiv:0908.1749 by other authors

Subjects: Representation Theory (math.RT) ; Combinatorics (math.CO)

[42] arXiv:2310.08346 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Non-piecewise hereditary Nakayama algebras Show Chinese title

Title: 非分段遗传的 Nakayama 代数

Didrik Fosse, Steffen Oppermann, Torkil Stai

Comments: 23 pages

Subjects: Representation Theory (math.RT)

[43] arXiv:2310.09206 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Standard Extension Algebras I: Perverse Sheaves and Fukaya Calculus Show Chinese title

Title: 标准扩张代数 I： perverse 丛与 Fukaya 计算

Jens Niklas Eberhardt, Catharina Stroppel

Subjects: Representation Theory (math.RT) ; Algebraic Geometry (math.AG) ; Combinatorics (math.CO) ; K-Theory and Homology (math.KT) ; Symplectic Geometry (math.SG)

[44] arXiv:2310.09283 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: A survey on Igusa-Todorov functions Show Chinese title

Title: Igusa-Todorov函数综述

Marcos Barrios, Marcelo Lanzilotta, Gustavo Mata

Subjects: Representation Theory (math.RT)

[45] arXiv:2310.09719 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Klingen Vectors for Depth Zero Supercuspidals of $GSp(4)$ Show Chinese title

Title: $GSp(4)$ 深度零点上尖的克林根向量

Jonathan Cohen

Subjects: Representation Theory (math.RT)

[46] arXiv:2310.10249 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Murnaghan-Type Representations of the Elliptic Hall Algebra Show Chinese title

Title: Murnaghan型的椭圆霍尔代数表示

Milo Bechtloff Weising

Comments: 12 pages, extended abstract version

Subjects: Representation Theory (math.RT) ; Combinatorics (math.CO)

[47] arXiv:2310.10539 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: A Langlands dual realization of coherent sheaves on the nilpotent cone Show Chinese title

Title: 一种在幂零锥上的凝聚层的朗兰兹对偶实现

Harrison Chen, Gurbir Dhillon

Comments: 99 pages, comments welcome!

Subjects: Representation Theory (math.RT) ; Algebraic Geometry (math.AG)

[48] arXiv:2310.10846 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Clebsch-Gordan coefficients for Macdonald polynomials Show Chinese title

Title: Macdonald多项式的Clebsch-Gordan系数

Aritra Bhattacharya, Arun Ram

Comments: 44 pages, including a section with Examples

Subjects: Representation Theory (math.RT) ; Combinatorics (math.CO) ; Quantum Algebra (math.QA)

[49] arXiv:2310.10880 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: Coherence conditions for the characters of trivial source modules and strong isotypies Show Chinese title

Title: 平凡源模的特征标的一致性条件和强同构性

John Revere McHugh

Subjects: Representation Theory (math.RT)

[50] arXiv:2310.10932 (cross-list from math.RT) [cn-pdf, pdf, other]

Title: An explicit formula for the Hilbert series of a partial flag variety Show Chinese title

Title: 一个部分旗簇的Hilbert级数的显式公式

Wayne A. Johnson

Subjects: Representation Theory (math.RT)