Representation Theory

Authors and titles for November 2024

[1] arXiv:2411.00207 [pdf, html, other]

Title: Verdier quotients of Calabi-Yau categories from quivers with potential

Anna Barbieri, Yu Qiu

Comments: 28 pages. Part of this article was originally included in the first arXiv version of 2212.08433, and then removed due to length editorial issue. Comments are welcome

Subjects: Representation Theory (math.RT)

[2] arXiv:2411.00228 [pdf, html, other]

Title: Extensions of the constant family of Harish-Chandra pairs of $SL_2(\mathbb{R})$

Eyal Subag

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

[3] arXiv:2411.00470 [pdf, other]

Title: Higher homological algebra for one-point extensions of bipartite hereditary algebras and spectral graph theory

Karin M. Jacobsen, Mads Hustad Sandøy, Laertis Vaso

Comments: 43 lages

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

[4] arXiv:2411.00675 [pdf, other]

Title: On integral $\mathrm{Ext^2}$ between certain Weyl modules of $\mathrm{GLn}$

Maria Metzaki

Subjects: Representation Theory (math.RT)

[5] arXiv:2411.01235 [pdf, other]

Title: Local structure of tame symmetric algebras of period four

Karin Erdmann, Adam Hajduk, Adam Skowyrski

Subjects: Representation Theory (math.RT)

[6] arXiv:2411.01243 [pdf, html, other]

Title: Multiplicity free Weil representations arising from exceptional groups

Marcela Hanzer, Gordan Savin

Subjects: Representation Theory (math.RT)

[7] arXiv:2411.01372 [pdf, html, other]

Title: The FPP Conjecture for Real Reductive Groups

Dougal Davis, Lucas Mason-Brown

Subjects: Representation Theory (math.RT)

[8] arXiv:2411.01869 [pdf, html, other]

Title: Mixed modular perverse sheaves on affine flag varieties and Koszul duality

Simon Riche

Comments: 34 pages. arXiv admin note: substantial text overlap with arXiv:2206.03738

Subjects: Representation Theory (math.RT)

[9] arXiv:2411.02071 [pdf, html, other]

Title: The Cayley Transform on Representations

Jingyu Lu, Ke Ye

Comments: 21 pages, 1 table

Subjects: Representation Theory (math.RT)

[10] arXiv:2411.02073 [pdf, html, other]

Title: The stable wave front set of theta representations

Edmund Karasiewicz, Emile Okada, Runze Wang

Comments: Main text is 31 pages, followed by 12 pages of tables. 10 tables

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

[11] arXiv:2411.02648 [pdf, html, other]

Title: Perverse sheaves on twisted affine flag varieties and Langlands duality

Rızacan Çiloğlu

Comments: 59 pages, comments are welcome

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

[12] arXiv:2411.02713 [pdf, html, other]

Title: On maximally symmetric subalgebras

Alexander Kleshchev

Subjects: Representation Theory (math.RT)

[13] arXiv:2411.02717 [pdf, other]

Title: On dimensions of RoCK blocks of cyclotomic quiver Hecke superalgebras

Alexander Kleshchev

Subjects: Representation Theory (math.RT)

[14] arXiv:2411.02735 [pdf, other]

Title: Imaginary Schur-Weyl duality for quiver Hecke superalgebras

Alexander Kleshchev

Subjects: Representation Theory (math.RT)

[15] arXiv:2411.02765 [pdf, html, other]

Title: Endomorphism algebras of silting complexes

Lidia Angeleri Hügel, Marcelo Lanzilotta, Jifen Liu, Sonia Trepode

Comments: 17 pages

Subjects: Representation Theory (math.RT)

[16] arXiv:2411.03080 [pdf, other]

Title: On the first relative Hochschild cohomology and contracted fundamental group

Jonathan Lindell, Lleonard Rubio y Degrassi

Comments: 28 pages

Subjects: Representation Theory (math.RT); K-Theory and Homology (math.KT)

[17] arXiv:2411.03091 [pdf, html, other]

Title: Variation of additive characters in the transfer for Mp(2n)

Wen-Wei Li

Comments: 20 pages

Subjects: Representation Theory (math.RT)

[18] arXiv:2411.03092 [pdf, html, other]

Title: Twist automorphism for a generalized root system of affine ADE type

Takumi Otani

Comments: 24 pages

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

[19] arXiv:2411.03117 [pdf, html, other]

Title: Cauchy identities for staircase matrices

Evgeny Feigin, Anton Khoroshkin, Ievgen Makedonskyi

Comments: first draft, 40 pages, comments are welcome

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

[20] arXiv:2411.03158 [pdf, html, other]

Title: Equivariant sheaves for classical groups acting on Grassmannians

Pramod N. Achar, Tamanna Chatterjee

Comments: 30 pages

Subjects: Representation Theory (math.RT)

[21] arXiv:2411.03653 [pdf, html, other]

Title: RoCK blocks of double covers of symmetric groups and generalized Schur algebras

Alexander Kleshchev

Subjects: Representation Theory (math.RT)

[22] arXiv:2411.03690 [pdf, other]

Title: On endomorphism algebras of string almost gentle algebras

Yu-Zhe Liu, Panyue Zhou

Comments: 22 pages, 8 figures

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

[23] arXiv:2411.04195 [pdf, html, other]

Title: Quantum Groups and Symplectic Reductions

Wenjun Niu

Subjects: Representation Theory (math.RT); Mathematical Physics (math-ph); Quantum Algebra (math.QA)

[24] arXiv:2411.04347 [pdf, html, other]

Title: Characters of symmetric groups: sharp bounds on virtual degrees and the Witten zeta function

Lucas Teyssier, Paul Thévenin

Comments: 37 pages, 11 figures, comments welcome!

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

[25] arXiv:2411.04432 [pdf, html, other]

Title: Relations between generalised Gelfand-Tsetlin and Kazhdan-Lusztig bases of $S_n$

Ali Haidar, Oded Yacobi

Comments: 10 pages, extended abstract for submission to FPSAC 2025

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

[26] arXiv:2411.04636 [pdf, other]

Title: Mirror symmetry, tropical geometry and representation theory

Teresa Lüdenbach

Comments: PhD thesis, 153 pages, 57 figures, 2 tables

Subjects: Representation Theory (math.RT)

[27] arXiv:2411.04973 [pdf, html, other]

Title: Siegel Vectors for Nongeneric Depth Zero Supercuspidals of $GSp(4)$

Jonathan Cohen

Subjects: Representation Theory (math.RT)

[28] arXiv:2411.05767 [pdf, html, other]

Title: Total positivity in the space of maximal tori

G. Lusztig

Comments: 8 pages

Subjects: Representation Theory (math.RT)

[29] arXiv:2411.06235 [pdf, html, other]

Title: Unitary discriminants of characters

Gabriele Nebe

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

[30] arXiv:2411.06768 [pdf, html, other]

Title: Minimal nilpotent finite $W$-algebra and cuspidal module category of $\mathfrak{sp}_{2n}$

Genqiang Liu, Mingjie Li

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

[31] arXiv:2411.07748 [pdf, html, other]

Title: Etale geometry of Jordan classes closures

Filippo Ambrosio

Comments: 20 pages, comments are welcome

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

[32] arXiv:2411.07910 [pdf, html, other]

Title: Projective resolutions of simple modules and Hochschild cohomology for incidence algebras

Viktor Bekkert, John William MacQuarrie, Júlio Marques

Comments: 14 pages

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

[33] arXiv:2411.08208 [pdf, html, other]

Title: On homomorphisms between Weyl modules: The case of a column transposition

Charalampos Evangelou

Comments: Number of pages 39

Subjects: Representation Theory (math.RT)

[34] arXiv:2411.08265 [pdf, html, other]

Title: Sharp character bounds for symmetric groups in terms of partition length

Michael Larsen

Comments: 7 pages

Subjects: Representation Theory (math.RT)

[35] arXiv:2411.08270 [pdf, html, other]

Title: Absolutely irreducible quasisimple linear groups containing elements of order a specified Zsigmondy prime

S. P. Glasby, Alice C. Niemeyer, Cheryl E. Praeger, A. E. Zalesski

Comments: 34 pages, 9 tables, dedicated to the memory of Richard A. Parker

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

[36] arXiv:2411.09041 [pdf, html, other]

Title: Cohomology of the universal centralizers I: the adjoint group case

Xin Jin

Comments: 9 pages

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

[37] arXiv:2411.09188 [pdf, html, other]

Title: Lusztig sheaves and integrable highest weight modules in symmetrizable case

Yixin Lan, Yumeng Wu, Jie Xiao

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

[38] arXiv:2411.09404 [pdf, html, other]

Title: Dirac Cohomology and Unitarizable Supermodules over Lie Superalgebras of Type $A(m\vert n)$

Steffen Schmidt

Comments: 42 pages

Subjects: Representation Theory (math.RT)

[39] arXiv:2411.09862 [pdf, other]

Title: Schubert cells and Whittaker functionals for $\text{GL}(n,\mathbb{R})$ part II: Existence via integration by parts

Doyon Kim

Comments: 35 pages. arXiv admin note: text overlap with arXiv:2410.13519

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

[40] arXiv:2411.10194 [pdf, html, other]

Title: A remark on decomposing the canonical representation of the Drinfeld curve

Zhe Chen, Yushan Pan

Comments: 4 pages

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

[41] arXiv:2411.10767 [pdf, other]

Title: From Green's formula to Derived Hall algebras

Ji Lin

Comments: 24pages

Subjects: Representation Theory (math.RT)

[42] arXiv:2411.11412 [pdf, html, other]

Title: Tilting in $Q$-shaped derived categories

Sira Gratz, Henrik Holm, Peter Jorgensen, Greg Stevenson

Comments: 10 pages

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

[43] arXiv:2411.11594 [pdf, html, other]

Title: Interval Multiplicities of Persistence Modules

Hideto Asashiba (1, 2 and 3), Enhao Liu (4) ((1) Department of Mathematics, Shizuoka University, (2) Osaka Central Advanced Mathematical Institute, Osaka Metropolitan University, (3) Institute for Advanced Study, Kyoto University, (4) Department of Mathematics, Kyoto University)

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

[44] arXiv:2411.11633 [pdf, other]

Title: Cluster structures via representation theory: cluster ensembles, tropical duality, cluster characters and quantisation

Jan E. Grabowski, Matthew Pressland

Comments: 136 pages, comments welcome

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

[45] arXiv:2411.11663 [pdf, html, other]

Title: Clifford algebras and Littlewood-Richardson coefficients

Kieran Calvert, Karmen Grizelj, Andrey Krutov, Pavle Pandžić

Comments: 10 pages

Subjects: Representation Theory (math.RT)

[46] arXiv:2411.12912 [pdf, html, other]

Title: Triangular decompositions: Reedy algebras and quasi-hereditary algebras

Teresa Conde, Georgios Dalezios, Steffen Koenig

Comments: 12 pages

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

[47] arXiv:2411.13043 [pdf, html, other]

Title: Almost all permutations and involutions are Kostant negative

Samuel Creedon, Volodymyr Mazorchuk

Subjects: Representation Theory (math.RT)

[48] arXiv:2411.13063 [pdf, html, other]

Title: Hilbert measures on orbit spaces of coregular $\operatorname{O}_m$-modules

Hans-Christian Herbig, Christopher W. Seaton, Lillian Whitesell

Comments: 12 pages

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

[49] arXiv:2411.13283 [pdf, html, other]

Title: On compatibility of Koszul- and higher preprojective gradings

Darius Dramburg, Mads Hustad Sandøy

Comments: 25 pages

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

[50] arXiv:2411.00493 (cross-list from math.AT) [pdf, html, other]

Title: Differential Calculus and Optimization in Persistence Module Categories

Steve Oudot

Comments: This is a written version of the invited lecture I gave at the 9th European Congress of Mathematics

Subjects: Algebraic Topology (math.AT); Optimization and Control (math.OC); Representation Theory (math.RT)