Representation Theory

Authors and titles for math.RT in Mar 2024, skipping first 50

[51]  arXiv:2403.13520 [pdf, ps, other]

Title: The defect, the Malgrange functor, and linear control systems

Authors: Alex Martsinkovsky

Comments: 11 pages. This text is an expanded version of Section 4 of an earlier version of the preprint entitled "The finite presentation of the stable Hom functors, the Bass torsion, and the cotorsion coradical". arXiv admin note: text overlap with arXiv:2212.09237

Subjects: Representation Theory (math.RT); Analysis of PDEs (math.AP); Optimization and Control (math.OC)

[52]  arXiv:2403.13572 [pdf, ps, other]

Title: Asymptotic behaviour of holomorphic extensions of matrix coefficients at the boundary of the complex crown domain

Authors: Tobias Simon

Subjects: Representation Theory (math.RT)

[53]  arXiv:2403.13995 [pdf, ps, other]

Title: Real groups, symmetric varieties and Langlands duality

Authors: Tsao-Hsien Chen, David Nadler

Comments: 70 pages. The paper incorporated technical material from arXiv:1805.06514 but with many new results, including a proof of a conjecture in loc. cit. on identification of dual groups. An updated version of arXiv:1805.06514 will include various generalizations of the affine Matsuki correspondence

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

[54]  arXiv:2403.14134 [pdf, ps, other]

Title: Mutation of Brauer configuration algebras

Authors: Toshitaka Aoki, Yingying Zhang

Comments: 19 pages

Subjects: Representation Theory (math.RT)

[55]  arXiv:2403.14261 [pdf, ps, other]

Title: The wavefront set: bounds for the Langlands parameter

Authors: Dan Ciubotaru, Ju-Lee Kim

Comments: 15 pages

Subjects: Representation Theory (math.RT)

[56]  arXiv:2403.14267 [pdf, ps, other]

Title: Construction and analysis of symmetry breaking operators for the pair $(\operatorname{GL}(n+1,\mathbb{R}),\operatorname{GL}(n,\mathbb{R}))$

Authors: Jonathan Ditlevsen, Jan Frahm

Comments: 33 pages

Subjects: Representation Theory (math.RT)

[57]  arXiv:2403.14285 [pdf, other]

Title: 3-Preprojective Algebras of Type D

Authors: Jordan Haden

Comments: 30 pages

Subjects: Representation Theory (math.RT)

[58]  arXiv:2403.14528 [pdf, ps, other]

Title: The Iwahori--Matsumoto dual for tempered representations of Lusztig's geometric Hecke algebras

Authors: Ruben La

Comments: 37 pages, 4 tables, comments are welcome

Subjects: Representation Theory (math.RT)

[59]  arXiv:2403.14571 [pdf, other]

Title: Trivial source character tables of Frobenius groups of type $(C_p \times C_p) \rtimes H$

Authors: Bernhard Boehmler, Caroline Lassueur

Comments: Correction to Proposition 3.7

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

[60]  arXiv:2403.14595 [pdf, ps, other]

Title: Mutation of signed valued quivers and presentations of simple complex Lie algebras

Authors: Joseph Grant, Davide Morigi

Comments: Small changes, improved abstract

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

[61]  arXiv:2403.15001 [pdf, ps, other]

Title: Torsion Pairs in Categories of Modules on Ringed Finite Sites

Authors: Mawei Wu

Comments: 15 pages

Subjects: Representation Theory (math.RT)

[62]  arXiv:2403.15018 [pdf, ps, other]

Title: Computing monomial bases in Lie theory using OSCAR

Authors: Xin Fang, Ghislain Fourier, Lars Göttgens, Ben Wilop

Comments: 16 pages, Submitted as a bookchapter for the upcoming Oscar book

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

[63]  arXiv:2403.15190 [pdf, other]

Title: A geometric realization of Koszul duality for graded gentle algebras

Authors: Zixu Li, Yu Qiu, Yu Zhou

Comments: 29 pages, 17 figures. Any comments are welcome

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

[64]  arXiv:2403.15580 [pdf, ps, other]

Title: Uniqueness up to Inner Automorphism of Regular Exact Borel Subalgebras

Authors: Anna Rodriguez Rasmussen

Comments: 53 pages

Subjects: Representation Theory (math.RT)

[65]  arXiv:2403.15968 [pdf, ps, other]

Title: Symplectic differential reduction algebras and skew-affine generalized Weyl algebras

Authors: Jonas T. Hartwig, Dwight Anderson Williams II

Comments: 30 pages. Comments welcomed!

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

[66]  arXiv:2403.16267 [pdf, ps, other]

Title: Regular categories, oligomorphic monoids, and tensor categories

Authors: Andrew Snowden

Comments: 30 pages

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

[67]  arXiv:2403.16278 [pdf, other]

Title: A descent basis for the Garsia-Procesi module

Authors: Erik Carlsson, Raymond Chou

Comments: 29 pages

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

[68]  arXiv:2403.16316 [pdf, other]

Title: On interpolation categories for the hyperoctahedral group

Authors: Thorsten Heidersdorf, George Tyriard

Subjects: Representation Theory (math.RT)

[69]  arXiv:2403.16748 [pdf, ps, other]

Title: Arthur packets for pure real forms of symplectic and special orthogonal groups

Authors: Nicolas Arancibia Robert, Paul Mezo

Subjects: Representation Theory (math.RT)

[70]  arXiv:2403.17433 [pdf, ps, other]

Title: Higher spin representations of the Yangian of $\mathfrak{sl}_2$ and R-matrices

Authors: Yaping Yang, Paul Zinn-Justin

Subjects: Representation Theory (math.RT); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)

[71]  arXiv:2403.17746 [pdf, ps, other]

Title: On the new bases attached to families of Weyl groups

Authors: G. Lusztig

Comments: 22 pages

Subjects: Representation Theory (math.RT)

[72]  arXiv:2403.17951 [pdf, ps, other]

Title: Regular extreme semisimple Lie algebras

Authors: Andrew Douglas, Joe Repka

Subjects: Representation Theory (math.RT)

[73]  arXiv:2403.18065 [pdf, ps, other]

Title: Primitive elements in the Hall algebra of a cyclic quiver

Authors: Renda Ma

Comments: PhD thesis

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

[74]  arXiv:2403.18190 [pdf, ps, other]

Title: Green Functions in Small Characteristic

Authors: Frank Lübeck

Subjects: Representation Theory (math.RT)

[75]  arXiv:2403.18465 [pdf, ps, other]

Title: Posets of finite GK-dimensional graded pre-Nichols algebras of diagonal type

Authors: Iván Angiono, Emiliano Campagnolo

Comments: 23 pages

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