Representation Theory

Authors and titles for math.RT in Dec 2023

[1]  arXiv:2312.00002 [pdf, ps, other]

Title: The Discontinuity Group of a Locally Bounded Homomorphism of a Lie Group into a Lie Group Is Commutative

Authors: A. I. Shtern

Comments: 4 pages

Subjects: Representation Theory (math.RT)

[2]  arXiv:2312.00227 [pdf, ps, other]

Title: Dagger groups and $p$-adic distribution algebras

Authors: Aranya Lahiri, Claus Sorensen, Matthias Strauch

Comments: 22 pages

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

[3]  arXiv:2312.00280 [pdf, ps, other]

Title: Middle terms of AR-sequences of graded Kronecker modules

Authors: Jie Liu

Comments: arXiv admin note: text overlap with arXiv:1709.02552 by other authors

Subjects: Representation Theory (math.RT)

[4]  arXiv:2312.00361 [pdf, ps, other]

Title: Matrix representations of linear transformations on bicomplex space

Authors: Anjali, Fahed Zulfeqarr, Akhil Prakash, Prabhat Kumar

Subjects: Representation Theory (math.RT); Complex Variables (math.CV)

[5]  arXiv:2312.00400 [pdf, ps, other]

Title: Intertwining operators in the Takeda-Wood isomorphism

Authors: Fei Chen, Wen-Wei Li

Comments: 70 pages

Subjects: Representation Theory (math.RT)

[6]  arXiv:2312.00544 [pdf, ps, other]

Title: On the Divisibility of Degrees of Representations of Lie Algebras

Authors: Varun Shah, Steven Spallone

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

[7]  arXiv:2312.01382 [pdf, ps, other]

Title: Coherent state representations of the holomorphic automorphism group of a quasi-symmetric Siegel domain of type III

Authors: Koichi Arashi

Comments: 10 pages

Subjects: Representation Theory (math.RT); Complex Variables (math.CV)

[8]  arXiv:2312.01591 [pdf, ps, other]

Title: Integrability and singularities of Harish-Chandra characters

Authors: Itay Glazer, Julia Gordon, Yotam I. Hendel

Comments: 31 pages. Comments are welcome!

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

[9]  arXiv:2312.01686 [pdf, ps, other]

Title: Poles, Residues and Siegel-Weil Identities of Degenerate Eisenstein Series on Split Exceptional Groups of Type $E_n$

Authors: Hezi Halawi, Avner Segal

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

[10]  arXiv:2312.01839 [pdf, ps, other]

Title: Projection formulas and a refinement of Schur--Weyl--Jones duality for symmetric groups

Authors: Ewan Cassidy

Subjects: Representation Theory (math.RT)

[11]  arXiv:2312.02526 [pdf, ps, other]

Title: Ptolemy diagrams and torsion pairs in m-cluster categories of type D

Authors: Huimin Chang

Comments: Comments are welcome. arXiv admin note: text overlap with arXiv:2311.10916

Subjects: Representation Theory (math.RT)

[12]  arXiv:2312.02584 [pdf, other]

Title: On convexity and the Iwasawa decomposition of split real and complex Kac-Moody groups

Authors: Paul Zellhofer, Ralf Köhl

Comments: 34 pages, 1 figure, added: classification of GCM's in Section 1; minor change in the proof of Proposition 2.6; discussion including non-split Lie groups in Section 4.3; Corollary 4.4 in Section 4.3

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

[13]  arXiv:2312.02594 [pdf, ps, other]

Title: A reduction theorem for the Galois-Alperin weight conjecture

Authors: Qulei Fu

Comments: 35pages

Subjects: Representation Theory (math.RT)

[14]  arXiv:2312.02623 [pdf, ps, other]

Title: Deconstructible abstract elementary classes of modules and categoricity

Authors: Jan Šaroch, Jan Trlifaj

Comments: 9 pages

Subjects: Representation Theory (math.RT); Logic (math.LO)

[15]  arXiv:2312.02853 [pdf, other]

Title: The Dual Pair $\mathrm{Aut}(C)\times F_{4}$ ($p$-adic case)

Authors: Edmund Karasiewicz, Gordan Savin

Comments: 35 pages

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

[16]  arXiv:2312.03101 [pdf, ps, other]

Title: Invariant derivations and trace bounds

Authors: Skip Garibaldi, Robert M. Guralnick, Eric M. Rains

Comments: v2 strengthens the results of part IV

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

[17]  arXiv:2312.03648 [pdf, other]

Title: Vertex algebras from divisors on Calabi-Yau threefolds

Authors: Dylan Butson

Comments: 67 pages, 25 figures. Comments welcome!

Subjects: Representation Theory (math.RT); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Quantum Algebra (math.QA)

[18]  arXiv:2312.03933 [pdf, ps, other]

Title: Orbits under Dual Symplectic Transvections

Authors: Jonas Sjöstrand

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

[19]  arXiv:2312.04061 [pdf, ps, other]

Title: Depth Zero Supercuspidal Representations of Classical Groups into L-packets: the Typically Almost Symmetric Case

Authors: Geo Kam-Fai Tam

Comments: submitted

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

[20]  arXiv:2312.04384 [pdf, ps, other]

Title: Torsion-simple objects in abelian categories

Authors: Sergio Pavon

Comments: 17 pages. Comments are welcome

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

[21]  arXiv:2312.04798 [pdf, ps, other]

Title: On certain varieties attached to braid representatives of a Weyl group element

Authors: Chengze Duan

Subjects: Representation Theory (math.RT)

[22]  arXiv:2312.04844 [pdf, other]

Title: Tied--boxed algebras

Authors: Diego Arcis, Jorge Espinoza

Comments: 35 figures

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

[23]  arXiv:2312.05082 [pdf, ps, other]

Title: Geometrization of the two orthogonality formulas for Green functions

Authors: Gérard Laumon, Emmanuel Letellier

Subjects: Representation Theory (math.RT)

[24]  arXiv:2312.05478 [pdf, ps, other]

Title: Presentations of Schur and Specht modules in characteristic zero

Authors: Mihalis Maliakas, Maria Metzaki, Dimitra-Dionysia Stergiopoulou

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

[25]  arXiv:2312.05546 [pdf, ps, other]

Title: Symmetry breaking operator for the reductive dual pair $(\mathrm{U}_l,\mathrm{U}_{l'})$

Authors: M. McKee, A. Pasquale, T. Przebinda

Comments: 37 pages. The present paper subsumes and extends section 7 of the (unpublished) preprint arXiv:1405.2431

Subjects: Representation Theory (math.RT)