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Representation Theory

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Total of 63 entries : 1-50 51-63
Showing up to 50 entries per page: fewer | more | all

Mon, 29 Jun 2026 (showing 11 of 11 entries )

[1] arXiv:2606.28096 [pdf, other]
Title: On $U(\mathfrak{h})$-free modules of finite rank over $\mathfrak{sl}(2)$
Dimitar Grantcharov, Khoa Nguyen, Kaiming Zhao
Comments: 41 pages
Subjects: Representation Theory (math.RT)
[2] arXiv:2606.28091 [pdf, html, other]
Title: Stability of the exterior cube $γ$-factors for $\mathrm{GL}(6)$
Taiwang Deng, Dongming She
Subjects: Representation Theory (math.RT); Number Theory (math.NT)
[3] arXiv:2606.28085 [pdf, html, other]
Title: Average divisibility in character tables of $\mathrm{GL}_2(\mathbb{F}_q)$
Anwesh Ray, Mishty Ray
Comments: Version 1: 22 pages
Subjects: Representation Theory (math.RT); Combinatorics (math.CO); Number Theory (math.NT)
[4] arXiv:2606.27879 [pdf, html, other]
Title: The brick chain complexity of an artin algebra
Claus Michael Ringel
Comments: 9 pages
Subjects: Representation Theory (math.RT)
[5] arXiv:2606.27707 [pdf, html, other]
Title: The representations of the Lie superalgebra $p(3)$ in characteristic 3
Ye Ren
Comments: arXiv admin note: substantial text overlap with arXiv:2601.15932
Subjects: Representation Theory (math.RT)
[6] arXiv:2606.27668 [pdf, other]
Title: Representations of infinite species
Raphael Bennett-Tennenhaus, Job Daisie Rock
Comments: 38 page, comments welcome
Subjects: Representation Theory (math.RT)
[7] arXiv:2606.28140 (cross-list from math-ph) [pdf, html, other]
Title: Shirokov realizations of low dimensional Lie algebras
Severin Pošta
Comments: 28 pages
Subjects: Mathematical Physics (math-ph); Representation Theory (math.RT)
[8] arXiv:2606.27901 (cross-list from math.QA) [pdf, html, other]
Title: Zonal Spherical Functions of Quantum Symmetric Pairs
Philip Schlösser
Subjects: Quantum Algebra (math.QA); Representation Theory (math.RT)
[9] arXiv:2606.27749 (cross-list from math.NT) [pdf, html, other]
Title: On Franke's theorem in the simplest case
Devadatta G. Hegde
Comments: 11 pages. Comments are welcome
Subjects: Number Theory (math.NT); Representation Theory (math.RT); Spectral Theory (math.SP)
[10] arXiv:2606.27523 (cross-list from math.CO) [pdf, html, other]
Title: Coordinate projections of $c$-vectors of cluster algebras from the annulus
Sarah B. Brodsky
Comments: 17 pages, 1 figure. Ancillary files: exact-integer Python verification code reproducing the computational classification
Subjects: Combinatorics (math.CO); Rings and Algebras (math.RA); Representation Theory (math.RT)
[11] arXiv:2606.27497 (cross-list from math.CO) [pdf, html, other]
Title: Enumerating matrices with prescribed entries in an adjoint orbit
Samrith Ram
Comments: 29 pages
Subjects: Combinatorics (math.CO); Algebraic Geometry (math.AG); Representation Theory (math.RT)

Fri, 26 Jun 2026 (showing 9 of 9 entries )

[12] arXiv:2606.27197 [pdf, html, other]
Title: On some components of $L(ρ)\otimes L(ρ)$ associated with rooted trees for symmetrizable Kac-Moody algebras
Rekha Biswal, Patrick Polo
Comments: 20 pages
Subjects: Representation Theory (math.RT); Combinatorics (math.CO)
[13] arXiv:2606.27063 [pdf, html, other]
Title: Brick infinite algebras admit infinitely many non-$τ$-rigid bricks
Kaveh Mousavand, Charles Paquette
Comments: 10 pages
Subjects: Representation Theory (math.RT)
[14] arXiv:2606.26331 [pdf, other]
Title: Quantum Harish-Chandra bimodules at roots of unity and affine Hecke category
Trung Vu
Comments: 76 pages, comments are welcome!
Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA)
[15] arXiv:2606.26255 [pdf, html, other]
Title: Hochschild (co)homology and cyclic homology via a graded Euler characteristic with applications to higher preprojective algebras
Jon Wallem Anundsen, Mads Hustad Sandøy
Comments: 54 pages. Comments welcome
Subjects: Representation Theory (math.RT)
[16] arXiv:2606.27362 (cross-list from math.AG) [pdf, html, other]
Title: Hall Geometry and Auslander-Reiten Quiver
Aayush Verma
Comments: 10 pages
Subjects: Algebraic Geometry (math.AG); Representation Theory (math.RT)
[17] arXiv:2606.27341 (cross-list from math.QA) [pdf, html, other]
Title: On the deformation theory of chiral quantizations
Dylan Butson, Sujay Nair
Comments: 91 pages, comments welcome
Subjects: Quantum Algebra (math.QA); High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Representation Theory (math.RT)
[18] arXiv:2606.26776 (cross-list from math.QA) [pdf, other]
Title: Artin monoids, their homomorphisms and twins
Arkady Berenstein, Jacob Greenstein, Jian-Rong Li
Comments: AmsLaTeX+amsrefs, 79 pages; some misprints corrected. Parts of this paper appeared previously in the preprint arXiv:2405.18821. The current paper has been substantially reorganized and includes new approaches
Subjects: Quantum Algebra (math.QA); Combinatorics (math.CO); Representation Theory (math.RT)
[19] arXiv:2606.26767 (cross-list from math.AG) [pdf, other]
Title: $e$-polynomials of character varieties
Alfonso Zamora
Comments: 40 pages, 1 figure. To appear in Revista de Matemática: Teoría y Aplicaciones
Subjects: Algebraic Geometry (math.AG); Representation Theory (math.RT)
[20] arXiv:2606.26244 (cross-list from cs.CC) [pdf, html, other]
Title: Graph Isomorphism and Representation Theory
Joshua A. Grochow, Jacob Urisman
Subjects: Computational Complexity (cs.CC); Data Structures and Algorithms (cs.DS); Combinatorics (math.CO); Representation Theory (math.RT)

Thu, 25 Jun 2026 (showing 8 of 8 entries )

[21] arXiv:2606.25851 [pdf, html, other]
Title: Effective Computation of Mutation Paths and Generators of Cluster Automorphism Groups
Jindong Zhao, Haiyan Zhu
Subjects: Representation Theory (math.RT); Commutative Algebra (math.AC)
[22] arXiv:2606.25694 [pdf, html, other]
Title: Preprojective algebras and generalisations: A short survey
Aaron Chan, Osamu Iyama, Rene Marczinzik
Subjects: Representation Theory (math.RT)
[23] arXiv:2606.25677 [pdf, html, other]
Title: The representation theory of the wreath product of a finite group with the monoid of all partial functions on a finite set as an EI-category algebra
Itamar Stein
Comments: 37 pages
Subjects: Representation Theory (math.RT); Group Theory (math.GR)
[24] arXiv:2606.25560 [pdf, html, other]
Title: Equivariant Cleft Extensions and Singular Equivalences
Miltiadis Karakikes
Comments: Comments are welcome!
Subjects: Representation Theory (math.RT); Category Theory (math.CT); Rings and Algebras (math.RA)
[25] arXiv:2606.25516 [pdf, html, other]
Title: Total positivity and symmetric spaces
Huanchen Bao
Comments: 20 pages
Subjects: Representation Theory (math.RT); Algebraic Geometry (math.AG); Combinatorics (math.CO)
[26] arXiv:2606.25387 [pdf, html, other]
Title: The tilting property of Whittaker averaged central sheaves
Jeremy Taylor
Subjects: Representation Theory (math.RT)
[27] arXiv:2606.25943 (cross-list from math.AT) [pdf, other]
Title: Profinite Borel completeness and smooth Artin motives
Yorick Fuhrmann
Comments: 54 pages, all comments welcome!
Subjects: Algebraic Topology (math.AT); Algebraic Geometry (math.AG); Representation Theory (math.RT)
[28] arXiv:2606.25848 (cross-list from math.DG) [pdf, html, other]
Title: On the Moser trick for Lie subalgebras and foliations
Ilias Ermeidis
Comments: 16 pages. Comments welcome!
Subjects: Differential Geometry (math.DG); Rings and Algebras (math.RA); Representation Theory (math.RT)

Wed, 24 Jun 2026 (showing 13 of 13 entries )

[29] arXiv:2606.24732 [pdf, html, other]
Title: Interpolating Schur Algebras
Addison Day, Jonathan R. Kujawa
Subjects: Representation Theory (math.RT)
[30] arXiv:2606.24023 [pdf, html, other]
Title: Weyl's Polarization in Classical Invariant Theory: A Primer, with Worked Examples
L. Darondeau, M. Florence, B. Kolev
Comments: Preliminary version
Subjects: Representation Theory (math.RT)
[31] arXiv:2606.23954 [pdf, html, other]
Title: On the Humphreys-Verma Conjecture for semisimple algebraic groups of rank $2$
Stephen Donkin, Haralampos Geranios
Comments: 15 pages
Subjects: Representation Theory (math.RT)
[32] arXiv:2606.23765 [pdf, html, other]
Title: Group Permanents of Abelian $p$-Groups and Young Diagrams
Naoya Yamaguchi, Yuka Yamaguchi
Subjects: Representation Theory (math.RT); Combinatorics (math.CO)
[33] arXiv:2606.24787 (cross-list from math.GR) [pdf, html, other]
Title: Representations of finite skew braces
A Ballester-Bolinches, R. Esteban-Romero, P. Pérez-Altarriba
Comments: 17 pages
Subjects: Group Theory (math.GR); Representation Theory (math.RT)
[34] arXiv:2606.24708 (cross-list from math.QA) [pdf, other]
Title: Vertex Superalgebras for Hypertoric Varieties and 3d Abelian Gauge Theories
Tomoyuki Arakawa, Andrea E. V. Ferrari, Sven Möller
Comments: 89 pages, LaTeX
Subjects: Quantum Algebra (math.QA); High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Representation Theory (math.RT)
[35] arXiv:2606.24606 (cross-list from math.RA) [pdf, html, other]
Title: Irreducible noncommutative quadrics
Izuru Mori, Kenta Ueyama, Wenchao Wu
Comments: 26 pages
Subjects: Rings and Algebras (math.RA); Algebraic Geometry (math.AG); Representation Theory (math.RT)
[36] arXiv:2606.24135 (cross-list from math.GT) [pdf, html, other]
Title: Non-asphericity of strata of genus-one differentials and stability spaces
Dawei Chen, Jingyin Huang, Yu Qiu, Fei Yu
Comments: Two proofs are included; the appendix proof was first developed with AI assistance and verified by the authors; the main-text proof was then obtained by the authors
Subjects: Geometric Topology (math.GT); Algebraic Geometry (math.AG); Algebraic Topology (math.AT); Combinatorics (math.CO); Representation Theory (math.RT)
[37] arXiv:2606.24008 (cross-list from hep-th) [pdf, other]
Title: General Lagrangian formulations for mixed-antisymmetric tensor fields on flat backgrounds
Alexander A. Reshetnyak
Comments: 40 pages, no figures
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Dynamical Systems (math.DS); Representation Theory (math.RT)
[38] arXiv:2606.23887 (cross-list from math-ph) [pdf, html, other]
Title: Weyl orbit particles
Martin T. Luu
Journal-ref: J. Phys. A: Math. Theor. 58 (2025): 375201
Subjects: Mathematical Physics (math-ph); Representation Theory (math.RT)
[39] arXiv:2606.23878 (cross-list from nlin.SI) [pdf, html, other]
Title: The KdV vacuum operator and its Katz extension
Martin T. Luu
Journal-ref: J. Geom. Phys. 214 (2025): 105517
Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Representation Theory (math.RT)
[40] arXiv:2606.23876 (cross-list from math.CO) [pdf, other]
Title: A Littlewood-Richardson Rule for Forest Polynomials via the Schubert Bialgebra
Matthew J. Samuel
Comments: 58 pages, 6 figures
Subjects: Combinatorics (math.CO); Algebraic Geometry (math.AG); Representation Theory (math.RT)
[41] arXiv:2606.23807 (cross-list from math.AG) [pdf, other]
Title: Chiralization of Quiver Varieties
Ioana Coman, Myungbo Shim, Masahito Yamazaki, Yehao Zhou
Comments: 94 pages, 4 figures
Subjects: Algebraic Geometry (math.AG); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Algebra (math.QA); Representation Theory (math.RT)

Tue, 23 Jun 2026 (showing first 9 of 22 entries )

[42] arXiv:2606.23630 [pdf, html, other]
Title: Recollements of Triangulated Categories and the Singularity Category of a Triangular Matrix Category
Juan Andrés Orozco Gutiérrez, Valente Santiago Vargas
Comments: 16 pages
Subjects: Representation Theory (math.RT); Category Theory (math.CT)
[43] arXiv:2606.23555 [pdf, html, other]
Title: Cubic Jordan algebras are not a series
Bruce Westbury
Subjects: Representation Theory (math.RT)
[44] arXiv:2606.23385 [pdf, html, other]
Title: A Catalogue of the Lie Amaldi Classification with Structures Identified
H.Azad
Subjects: Representation Theory (math.RT)
[45] arXiv:2606.23340 [pdf, other]
Title: A Graphical Calculus for Induction and Restriction on Temperley-Lieb Modules
Alistair Savage
Comments: 48 pages
Subjects: Representation Theory (math.RT)
[46] arXiv:2606.23297 [pdf, html, other]
Title: Infinite $τ$-tilting theory
Kevin Schlegel
Subjects: Representation Theory (math.RT)
[47] arXiv:2606.23171 [pdf, html, other]
Title: Betti-Whittaker periods of the contragredient representations for $\textrm{GL}(n)$
Yubo Jin, Dongwen Liu, Binyong Sun
Subjects: Representation Theory (math.RT); Number Theory (math.NT)
[48] arXiv:2606.22846 [pdf, html, other]
Title: Twisted Jacquet modules associated to maximal parabolic subgroups and cuspidal representations of $GL(n, q)$
Kumar Balasubramanian, Krishna Kaipa, Himanshi Khurana
Subjects: Representation Theory (math.RT)
[49] arXiv:2606.22747 [pdf, other]
Title: On the action of the center in the $\ell$-adic categorical Langlands program
Konrad Zou
Comments: Comments welcome!
Subjects: Representation Theory (math.RT)
[50] arXiv:2606.22130 [pdf, other]
Title: Codistinguished abelian subcategories
Charley Cummings, David Nkansah
Comments: 45 pages
Subjects: Representation Theory (math.RT); Category Theory (math.CT)
Total of 63 entries : 1-50 51-63
Showing up to 50 entries per page: fewer | more | all