On $\tau$-tilting finite Borel-Schur algebras
Representation Theory
2024-04-02 v2
Abstract
We completely determine the -tilting finiteness of Borel-Schur algebras. To achieve this, we use two recently introduced techniques in silting theory: sign decomposition as introduced by Aoki, Higashitani, Iyama, Kase and Mizuno [arXiv:2203.15213], and symmetry of silting quivers as investigated by Aihara and the author [arXiv:2205.00472]. Besides, we explore some new properties for both Borel-Schur algebra and sign decomposition.
Keywords
Cite
@article{arxiv.2310.00358,
title = {On $\tau$-tilting finite Borel-Schur algebras},
author = {Qi Wang},
journal= {arXiv preprint arXiv:2310.00358},
year = {2024}
}
Comments
33 pages, some new properties of Borel-Schur algebras have been added, and some typos have been corrected