Representation Theory

Authors and titles for math.RT in Jan 2024

[1]  arXiv:2401.00156 [pdf, ps, other]

Title: Radical subgroups of finite reductive groups

Authors: Zhicheng Feng, Jun Yu, Jiping Zhang

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

[2]  arXiv:2401.00704 [pdf, other]

Title: Orthogonal webs and semisimplification

Authors: Elijah Bodish, Daniel Tubbenhauer

Comments: 51 pages, many figures, comments welcome

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

[3]  arXiv:2401.00777 [pdf, ps, other]

Title: Hereditary $n$-exangulated categories

Authors: Jian He, Jing He, Panyue Zhou

Comments: 15 pages. arXiv admin note: substantial text overlap with arXiv:2109.12954, arXiv:2006.02223, arXiv:2108.07985, arXiv:2111.06522, arXiv:1909.13284

Subjects: Representation Theory (math.RT); Category Theory (math.CT)

[4]  arXiv:2401.01110 [pdf, ps, other]

Title: Super-extensions of tensor algebras and their applications

Authors: Run-Qiang Jian, Xianfa Wu

Comments: 24 pages

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

[5]  arXiv:2401.01446 [pdf, ps, other]

Title: Representations of Lie groups

Authors: Pavel Etingof

Comments: 147 pages

Subjects: Representation Theory (math.RT)

[6]  arXiv:2401.01634 [pdf, ps, other]

Title: A minimal Gröbner basis for simple $\mathfrak{sl}_n$- or $\mathfrak{sp}_n$-modules

Authors: Ghislain Fourier, León van Eß

Comments: 6 pages, clearified the monomial ordering

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

[7]  arXiv:2401.02064 [pdf, other]

Title: Iyama-Solberg correspondence for exact dg categories

Authors: Xiaofa Chen

Comments: v2, a subsection on an equivalence of $\infty$-groupoids is added. Comments are very welcome!

Subjects: Representation Theory (math.RT); Category Theory (math.CT)

[8]  arXiv:2401.02299 [pdf, ps, other]

Title: On the maximal and minimal degree components of the cocenter of the cyclotomic KLR algebras

Authors: Jun Hu, Lei Shi

Subjects: Representation Theory (math.RT)

[9]  arXiv:2401.02442 [pdf, ps, other]

Title: Jones Wenzl projectors in Verma modules

Authors: Ryoga Matsumoto

Comments: 10 pages. arXiv admin note: substantial text overlap with arXiv:2312.10662

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

[10]  arXiv:2401.02770 [pdf, ps, other]

Title: On singular supports of Lusztig's perverse sheaves

Authors: Jiepeng Fang

Comments: 9 pages

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

[11]  arXiv:2401.02947 [pdf, ps, other]

Title: Simple tilts of length hearts and simple-minded mutation

Authors: Nathan Broomhead, Raquel Coelho Simoes, David Pauksztello, Jon Woolf

Comments: 23 pages, 3 figures

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

[12]  arXiv:2401.03053 [pdf, ps, other]

Title: Singular Light Leaves

Authors: Ben Elias, Hankyung Ko, Nicolas Libedinsky, Leonardo Patimo

Subjects: Representation Theory (math.RT)

[13]  arXiv:2401.03432 [pdf, ps, other]

Title: Holomorphic Laplacian on the Lie ball and the Penrose transform

Authors: Hideko Sekiguchi

Comments: 13 pages

Subjects: Representation Theory (math.RT)

[14]  arXiv:2401.03705 [pdf, other]

Title: The Spectral Action on quivers

Authors: Carlos I. Perez-Sanchez

Comments: 34 pp, many quivers; v2 some typos and minor corrections

Subjects: Representation Theory (math.RT); High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Operator Algebras (math.OA)

[15]  arXiv:2401.04581 [pdf, other]

Title: The Metaplectic Representation is Faithful

Authors: Christopher Chang, Simeon Hellsten, Mario Marcos Losada, Sergiu Novac

Comments: 17 pages, 11 figures

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

[16]  arXiv:2401.04652 [pdf, ps, other]

Title: Restriction Theorems and Root Systems for Symmetric Superspaces

Authors: Shifra Reif, Siddhartha Sahi, Vera Serganova

Subjects: Representation Theory (math.RT)

[17]  arXiv:2401.04833 [pdf, other]

Title: The Poisson degeneracy locus of a flag variety

Authors: Élie Casbi, Aria Masoomi, Milen Yakimov

Comments: 37 pages, comments welcomed

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

[18]  arXiv:2401.04989 [pdf, ps, other]

Title: On integral images of Curtis homomorphisms for $\mathrm{GL}_n$ and $\mathrm{U}_n$

Authors: Tzu-Jan Li

Comments: 7 pages, minor revision

Subjects: Representation Theory (math.RT)

[19]  arXiv:2401.04994 [pdf, ps, other]

Title: Singular Soergel bimodules for realizations

Authors: Noriyuki Abe

Comments: 28 pages

Subjects: Representation Theory (math.RT)

[20]  arXiv:2401.05158 [pdf, ps, other]

Title: $τ$-tilting graphs and quotients

Authors: Changjian Fu, Shengfei Geng, Pin Liu

Comments: 9 pages

Subjects: Representation Theory (math.RT)

[21]  arXiv:2401.05645 [pdf, ps, other]

Title: ICE-closed subcategories and epibricks over one-point extensions

Authors: Xin Li, Hanpeng Gao

Comments: 10 pages

Subjects: Representation Theory (math.RT)

[22]  arXiv:2401.05816 [pdf, ps, other]

Title: Decomposition numbers for weight 3 blocks of Iwahori--Hecke algebras of type B

Authors: Matthew Fayers, Lorenzo Putignano

Subjects: Representation Theory (math.RT)

[23]  arXiv:2401.06402 [pdf, ps, other]

Title: Braid group actions, Baxter polynomials, and affine quantum groups

Authors: Noah Friesen, Alex Weekes, Curtis Wendlandt

Comments: 42 pages. Minor corrections

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

[24]  arXiv:2401.06427 [pdf, ps, other]

Title: The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula II. Non-tube type groups

Authors: Jan Frahm, Gestur Ólafsson, Bent Ørsted

Comments: 18 pages

Subjects: Representation Theory (math.RT)

[25]  arXiv:2401.06429 [pdf, ps, other]

Title: A note on higher structures on the complexes associated to quiver algebras with applications to toupie algebras

Authors: Yuming Liu, Bohan Xing

Comments: 17pages

Subjects: Representation Theory (math.RT)