Representation Theory

Authors and titles for math.RT in Mar 2024

[1]  arXiv:2403.00079 [pdf, ps, other]

Title: Representations of Kronecker quivers and Steiner bundles on Grassmannians

Authors: Daniel Bissinger, Rolf Farnsteiner

Comments: Improved version with less typos and slighty strengthened results in section 6

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

[2]  arXiv:2403.00475 [pdf, ps, other]

Title: Torsion pairs via the Ziegler spectrum

Authors: Lidia Angeleri Hügel, Rosanna Laking, Francesco Sentieri

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

[3]  arXiv:2403.00931 [pdf, ps, other]

Title: Spin Representations and Binary Numbers

Authors: Henrik Winther

Subjects: Representation Theory (math.RT)

[4]  arXiv:2403.01396 [pdf, ps, other]

Title: Entropy of cluster DT transformations and the finite-tame-wild trichotomy of acyclic quivers

Authors: Tsukasa Ishibashi, Shunsuke Kano

Comments: 23 pages, 3 figures

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

[5]  arXiv:2403.01687 [pdf, ps, other]

Title: Growth of root multiplicities along imaginary root strings in Kac--Moody algebras

Authors: Lisa Carbone, Terence Coelho, Scott H. Murray, Forrest Thurman, Songhao Zhu

Subjects: Representation Theory (math.RT)

[6]  arXiv:2403.01728 [pdf, ps, other]

Title: An approach to annihilators in the context of vector field Lie algebras

Authors: Charles H. Conley, William Goode

Comments: 20 pages

Subjects: Representation Theory (math.RT)

[7]  arXiv:2403.01824 [pdf, ps, other]

Title: Shift orbits for elementary representations of Kronecker quivers

Authors: Daniel Bissinger

Subjects: Representation Theory (math.RT)

[8]  arXiv:2403.02434 [pdf, ps, other]

Title: On the character tables of the finite reductive groups $E_6(q)_{\text{ad}}$ and ${^2\!E}_6(q)_{\text{ad}}$

Authors: Meinolf Geck

Comments: 20 pages

Subjects: Representation Theory (math.RT)

[9]  arXiv:2403.02550 [pdf, ps, other]

Title: Constructible representations and Catalan numbers

Authors: George Lusztig, Eric Sommers

Comments: 10 pages

Subjects: Representation Theory (math.RT)

[10]  arXiv:2403.03546 [pdf, ps, other]

Title: A bijection between support $τ$-tilting subcategories and $τ$-cotorsion pairs in extriangulated categories

Authors: Zhiwei Zhu, Jiaqun Wei

Comments: 15 pages

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

[11]  arXiv:2403.03644 [pdf, ps, other]

Title: On the characters of a certain series of N=4 superconformal modules II

Authors: Minoru Wakimoto

Subjects: Representation Theory (math.RT)

[12]  arXiv:2403.03734 [pdf, ps, other]

Title: Some applications of the geometric Satake equivalence to modular representation theory

Authors: Simon Riche

Comments: 43 pages. Comments welcome!

Subjects: Representation Theory (math.RT)

[13]  arXiv:2403.03753 [pdf, ps, other]

Title: The solenoidal Virasoro algebra and its simple weight modules

Authors: Boujemaa Agrebaoui, Walid Mhiri

Comments: 14 pages. arXiv admin note: text overlap with arXiv:math/0308133, arXiv:math/0607614 by other authors

Subjects: Representation Theory (math.RT)

[14]  arXiv:2403.04213 [pdf, ps, other]

Title: Representations of not-finitely graded Lie algebras related to Virasoro algebra

Authors: Chunguang Xia, Tianyu Ma, Xiao Dong, Mingjing Zhang

Comments: 18 pages

Subjects: Representation Theory (math.RT)

[15]  arXiv:2403.04472 [pdf, ps, other]

Title: On a series of simple affine VOAs at non-admissible level arising from rank One 4D SCFTs

Authors: Tomoyuki Arakawa, Xuanzhong Dai, Justine Fasquel, Bohan Li, Anne Moreau

Comments: 29 pages

Subjects: Representation Theory (math.RT); High Energy Physics - Theory (hep-th); Quantum Algebra (math.QA)

[16]  arXiv:2403.04497 [pdf, ps, other]

Title: Affine flag varieties of type D

Authors: Quanyong Chen, Zhaobing Fan, Qi Wang

Subjects: Representation Theory (math.RT)

[17]  arXiv:2403.04597 [pdf, ps, other]

Title: Scalar extensions of quiver representations over $\mathbb{F}_1$

Authors: Markus Kleinau

Comments: 16 pages, comments welcome

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

[18]  arXiv:2403.05109 [pdf, ps, other]

Title: Cyclic Characters of Alternating Groups

Authors: Amrutha P, Amritanshu Prasad, Velmurugan S

Comments: 13 pages

Subjects: Representation Theory (math.RT)

[19]  arXiv:2403.05232 [pdf, ps, other]

Title: Chains of model structures arising from modules of finite Gorenstein dimension

Authors: Nan Gao, Xue-Song Lu, Pu Zhang

Subjects: Representation Theory (math.RT)

[20]  arXiv:2403.05258 [pdf, ps, other]

Title: Some homological properties of category $\mathcal{O}$, VII

Authors: Volodymyr Mazorchuk

Subjects: Representation Theory (math.RT)

[21]  arXiv:2403.05456 [pdf, other]

Title: Lepowsky's and Wakimoto's product formulas for the affine Lie algebras $C_l^{(1)}$

Authors: Marijana Butorac, Slaven Kožić, Arne Meurman, Mirko Primc

Comments: 37 pages, 43 figures

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

[22]  arXiv:2403.06684 [pdf, ps, other]

Title: The associated graded algebras of Brauer graph algebras II: infinite representation type

Authors: Jing Guo, Yuming Liu, Yu Ye

Comments: 25 pages

Subjects: Representation Theory (math.RT)

[23]  arXiv:2403.07080 [pdf, ps, other]

Title: Kazhdan-Lusztig map and Langlands duality

Authors: Anlong Chua

Comments: Corrected typos

Subjects: Representation Theory (math.RT)

[24]  arXiv:2403.07252 [pdf, ps, other]

Title: Serre functors and complete torsion pairs

Authors: Zhe Han, Ping He

Comments: 18pages

Subjects: Representation Theory (math.RT)

[25]  arXiv:2403.07381 [pdf, ps, other]

Title: The solenoidal Heisenberg Virasoro algebra and its simple weight modules

Authors: Boujemaa Agrebaoui, Walid Mhiri

Comments: 14 pages. arXiv admin note: text overlap with arXiv:2403.03753

Subjects: Representation Theory (math.RT)