Representation Theory

Authors and titles for math.RT in Sep 2022

[1]  arXiv:2209.00134 [pdf, ps, other]

Title: Content systems and deformations of cyclotomic KLR algebras of type $A$ and $C$

Authors: Anton Evseev, Andrew Mathas

Comments: LaTeX. 79 pages, including an index of notation. V3: Final version

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

[2]  arXiv:2209.00186 [pdf, ps, other]

Title: Generalised Temperley-Lieb algebras of type $G(r,1,n)$

Authors: Gus Lehrer, Mengfan Lyu

Subjects: Representation Theory (math.RT)

[3]  arXiv:2209.00205 [pdf, ps, other]

Title: New realization of $\imath$quantum groups via $Δ$-Hall algebras

Authors: Jiayi Chen, Yanan Lin, Shiquan Ruan

Comments: 19 pages

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

[4]  arXiv:2209.00234 [pdf, ps, other]

Title: Mock theta functions and characters of N=3 superconformal modules IV

Authors: Minoru Wakimoto

Subjects: Representation Theory (math.RT)

[5]  arXiv:2209.00337 [pdf, ps, other]

Title: Krull-Remak-Schmidt decompositions in Hom-finite additive categories

Authors: Amit Shah

Comments: v2: 17 pages, added reference Chen--Ye--Zhang, typos corrected and some minor changes. v1: 17 pages, comments welcome!

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

[6]  arXiv:2209.00520 [pdf, ps, other]

Title: Gorenstein silting modules and Gorenstein projective modules

Authors: Nan Gao, Jing Ma, Chi-Heng Zhang

Comments: 22 pages. arXiv admin note: text overlap with arXiv:2110.12161

Subjects: Representation Theory (math.RT)

[7]  arXiv:2209.00531 [pdf, ps, other]

Title: (Gorenstein) silting modules in recollements

Authors: Nan Gao, Jing Ma

Comments: 12 pages

Subjects: Representation Theory (math.RT)

[8]  arXiv:2209.00537 [pdf, ps, other]

Title: From Gorenstein derived equivalences to stable functors of Gorenstein projective modules

Authors: Nan Gao, Chi-Heng Zhang, Jing Ma

Comments: 8 pages

Subjects: Representation Theory (math.RT)

[9]  arXiv:2209.00574 [pdf, ps, other]

Title: Harish-Chandra Induction and Jordan Decomposition of Characters

Authors: Prashant Arote, Manish Mishra

Comments: Proof of Lemma 5.1 in previous version is corrected

Subjects: Representation Theory (math.RT)

[10]  arXiv:2209.00811 [pdf, ps, other]

Title: The first fundamental theorem of invariant theory for the quantum queer superalgebra

Authors: Zhihua Chang, Yongjie Wang

Comments: 34 pages, 2 figures

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

[11]  arXiv:2209.00898 [pdf, ps, other]

Title: A functorial approach to rank functions on triangulated categories

Authors: Teresa Conde, Mikhail Gorsky, Frederik Marks, Alexandra Zvonareva

Comments: 33 pages; v2: added details and references

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

[12]  arXiv:2209.00919 [pdf, ps, other]

Title: Construction of representations of compact special linear groups of degree two

Authors: M Hassain

Comments: 25 pages

Subjects: Representation Theory (math.RT)

[13]  arXiv:2209.00921 [pdf, ps, other]

Title: Highest weight theory for minimal finite $W$-superalgebras and related Whittaker categories

Authors: Yang Zeng, Bin Shu

Comments: 65 pages, comments are welcome

Subjects: Representation Theory (math.RT)

[14]  arXiv:2209.00963 [pdf, ps, other]

Title: Jantzen filtration of Weyl modules for general linear supergroups

Authors: Yiyang Li, Bin Shu

Comments: 38 pages. The final version accepted by Forum. Math

Subjects: Representation Theory (math.RT)

[15]  arXiv:2209.01043 [pdf, ps, other]

Title: Relative left Bongartz completions and their compatibility with mutations

Authors: Peigen Cao, Yu Wang, Houjun Zhang

Comments: 22 pages

Journal-ref: Math. Z. 305(2), 2023

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

[16]  arXiv:2209.01101 [pdf, ps, other]

Title: The spectrum of the real line

Authors: Jan-Paul Lerch

Comments: 21 pages

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

[17]  arXiv:2209.01128 [pdf, other]

Title: $n$-Extension closed subcategories of $n$-exangulated categories

Authors: Carlo Klapproth

Comments: Updated version based on feedback: correction of typos, minor rearrangement, removed the global assumption n > 1, capitalised title

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

[18]  arXiv:2209.01140 [pdf, ps, other]

Title: Cohomology of algebraic groups, Lie algebras, and finite groups of Lie type

Authors: Christopher P. Bendel

Comments: Minor corrections and additions

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

[19]  arXiv:2209.01603 [pdf, ps, other]

Title: Exterior powers of a parabolic Springer sheaf on a Lie algebra

Authors: Roman Bezrukavnikov, Kostiantyn Tolmachov

Comments: Content reorganised. Proofs for the Lie algebra statement significantly simplified. Material related to the convolution on the group was moved to the preprint "Linear structure on a finite Hecke category in type A" by the second author

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

[20]  arXiv:2209.02014 [pdf, ps, other]

Title: On bases of certain Grothendieck groups

Authors: G. Lusztig

Comments: 18 pages

Subjects: Representation Theory (math.RT)

[21]  arXiv:2209.02171 [pdf, ps, other]

Title: Arithmetic geometry of character varieties with regular monodromy, I

Authors: Masoud Kamgarpour, GyeongHyeon Nam, Anna Puskás

Comments: In the latest version, applications to the theory of rigid local systems are given. Comments are welcome

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

[22]  arXiv:2209.02261 [pdf, ps, other]

Title: Character formulas in Category $\mathcal O_p$

Authors: Henning Haahr Andersen

Comments: minor revisions

Subjects: Representation Theory (math.RT)

[23]  arXiv:2209.02324 [pdf, ps, other]

Title: The periplectic $q$-Brauer category

Authors: Hebing Rui, Linliang Song

Comments: 25 pages

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

[24]  arXiv:2209.02433 [pdf, ps, other]

Title: The quantum group $\dot U$ and flag manifolds over the semifield Z

Authors: G. Lusztig

Comments: 25 pages

Subjects: Representation Theory (math.RT)

[25]  arXiv:2209.02509 [pdf, other]

Title: Shalika germs for tamely ramified elements in $GL_n$

Authors: Oscar Kivinen, Cheng-Chiang Tsai

Comments: v3: 66 pages, improved exposition, corrected sign errors

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