Representation Theory

Authors and titles for math.RT in Sep 2022, skipping first 75

[76]  arXiv:2209.15163 [pdf, ps, other]

Title: An analogue of ladder representations for classical groups

Authors: Hiraku Atobe

Comments: 24 pages

Subjects: Representation Theory (math.RT)

[77]  arXiv:2209.15324 [pdf, ps, other]

Title: Dirac inequality for highest weight Harish-Chandra modules I

Authors: Pavle Pandžić, Ana Prlić, Vladimír Souček, Vít Tuček

Comments: 28 pages

Subjects: Representation Theory (math.RT)

[78]  arXiv:2209.15331 [pdf, ps, other]

Title: Dirac inequality for highest weight Harish-Chandra modules II

Authors: Pavle Pandžić, Ana Prlić, Vladimír Souček, Vít Tuček

Comments: 26 pages

Subjects: Representation Theory (math.RT)

[79]  arXiv:2209.15353 [pdf, ps, other]

Title: Whittaker functionals and contragredient in characteristic not $p$

Authors: Nadir Matringe, Justin Trias

Comments: Final version to appear in MRL

Subjects: Representation Theory (math.RT)

[80]  arXiv:2209.15513 [pdf, other]

Title: Progress on Infinite Cluster Categories Related to Triangulations of the (Punctured) Disk

Authors: Fatemeh Mohammadi, Job Daisie Rock, Francesca Zaffalon

Comments: 30 pages, 18 figures. For the special JAA issue on Cluster Algebras and Related Topics

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

[81]  arXiv:2209.00255 (cross-list from math.CO) [pdf, ps, other]

Title: Identities of inverse Chevalley type for graded characters of level-zero Demazure submodules over quantum affine algebras of type C

Authors: Takafumi Kouno, Satoshi Naito, Daniel Orr

Comments: 29 pages

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

[82]  arXiv:2209.00694 (cross-list from math.QA) [pdf, ps, other]

Title: Quantum Representation Theory and Manin matrices II: super case

Authors: Alexey Silantyev

Comments: 29pp

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

[83]  arXiv:2209.00755 (cross-list from math.CO) [pdf, ps, other]

Title: The equivariant Ehrhart theory of polytopes with order-two symmetries

Authors: Oliver Clarke, Akihiro Higashitani, Max Kölbl

Comments: 15 pages, 1 figure

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

[84]  arXiv:2209.01475 (cross-list from math.DS) [pdf, ps, other]

Title: Geometric interpretation of quantitative instability

Authors: Omri N. Solan, Nattalie Tamam

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

[85]  arXiv:2209.01481 (cross-list from math.AG) [pdf, ps, other]

Title: Decomposition of Frobenius pushforwards of line bundles on wonderful compactifications

Authors: Merrick Cai, Vasily Krylov

Comments: 54 pages

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

[86]  arXiv:2209.01705 (cross-list from math.GT) [pdf, other]

Title: An Exceptional Splitting of Khovanov's Arc Algebras in Characteristic 2

Authors: Jesse Cohen

Comments: 17 pages. Comments are welcome

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

[87]  arXiv:2209.01855 (cross-list from math.PR) [pdf, ps, other]

Title: Multiple Partition Structures and Harmonic Functions on Branching Graphs

Authors: Eugene Strahov

Journal-ref: Adv. in Appl. Math. 153 (2024), Paper No.102617,49 pp

Subjects: Probability (math.PR); Mathematical Physics (math-ph); Combinatorics (math.CO); Representation Theory (math.RT)

[88]  arXiv:2209.01897 (cross-list from math.QA) [pdf, ps, other]

Title: On the conjugation action for quantum general linear groups

Authors: Stephen Donkin

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

[89]  arXiv:2209.02068 (cross-list from math.RA) [pdf, ps, other]

Title: The finitistic dimension conjecture via DG-rings

Authors: Liran Shaul

Comments: 14 pages, comments are welcome! v3: additional improvement of the main result. Now stated in terms of generation of injectives

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

[90]  arXiv:2209.02069 (cross-list from math.NT) [pdf, ps, other]

Title: Criterion for surjectivity of localization in Galois cohomology of a reductive group over a number field

Authors: Mikhail Borovoi, Zev Rosengarten

Comments: V.1: 10 pages. V.2: 15 pages, with two new appendices, one by Borovoi and another one by Rosengarten. V.3: 15 pages, final version, to appear in Comptes Rendus Mathematique

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

[91]  arXiv:2209.02523 (cross-list from math-ph) [pdf, other]

Title: Evaluation and spanning sets of confluent Vandermonde forms

Authors: D. K. Sunko

Comments: Author's final version accepted in J. Math. Phys., 15 pages, 1 figure

Journal-ref: J. Math. Phys. 63, 082101 (2022)

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

[92]  arXiv:2209.02568 (cross-list from math.AG) [pdf, ps, other]

Title: The $P=W$ conjecture for $\mathrm{GL}_n$

Authors: Davesh Maulik, Junliang Shen

Comments: 25 pages. Final version; to appear at Annals of Math

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

[93]  arXiv:2209.03375 (cross-list from math.AC) [pdf, ps, other]

Title: Matrix Factorizations of the discriminant of $S_n$

Authors: Eleonore Faber, Colin Ingalls, Simon May, Marco Talarico

Comments: 23 pages, comments welcome!

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

[94]  arXiv:2209.03551 (cross-list from math.CO) [pdf, ps, other]

Title: Combinatorial formulas for shifted dual stable Grothendieck polynomials

Authors: Joel Brewster Lewis, Eric Marberg

Comments: 44 pages; v2: several corrections and improved exposition

Journal-ref: Forum of Mathematics, Sigma (2024), Vol. 12, Paper e22

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

[95]  arXiv:2209.03852 (cross-list from math.FA) [pdf, ps, other]

Title: Analytic automorphism group and similar representation of analytic functions

Authors: Bingzhe Hou, Chunlan Jiang

Comments: 30 pages

Subjects: Functional Analysis (math.FA); Complex Variables (math.CV); Operator Algebras (math.OA); Representation Theory (math.RT)

[96]  arXiv:2209.04852 (cross-list from math.QA) [pdf, ps, other]

Title: An integral form of quantum toroidal $\mathfrak{gl}_1$

Authors: Andrei Neguţ

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

[97]  arXiv:2209.05429 (cross-list from math.AG) [pdf, ps, other]

Title: $P=W$ via $H_2$

Authors: Tamas Hausel, Anton Mellit, Alexandre Minets, Olivier Schiffmann

Comments: 54 pages, comments are welcome

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

[98]  arXiv:2209.05920 (cross-list from math.AG) [pdf, ps, other]

Title: Categorical and K-theoretic Donaldson-Thomas theory of $\mathbb{C}^3$ (part II)

Authors: Tudor Pădurariu, Yukinobu Toda

Comments: 45 pages, to appear in Forum Math. Sigma

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

[99]  arXiv:2209.06143 (cross-list from math.GR) [pdf, ps, other]

Title: On group invariants determined by modular group algebras: even versus odd characteristic

Authors: Diego García-Lucas, Ángel del Río, Mima Stanojkovski

Comments: 18 pages

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

[100]  arXiv:2209.07495 (cross-list from math.AG) [pdf, ps, other]

Title: A Jacobian Criterion for Artin $v$-stacks

Authors: Linus Hamann

Comments: Comments and corrections are welcome!

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