The number of two-term tilting complexes over symmetric algebras with radical cube zero
Representation Theory
2021-10-26 v2
Abstract
In this paper, we compute the number of two-term tilting complexes for an arbitrary symmetric algebra with radical cube zero over an algebraically closed field. Firstly, we give a complete list of symmetric algebras with radical cube zero having only finitely many isomorphism classes of two-term tilting complexes in terms of their associated graphs. Secondly, we enumerate the number of two-term tilting complexes for each case in the list.
Keywords
Cite
@article{arxiv.1805.08392,
title = {The number of two-term tilting complexes over symmetric algebras with radical cube zero},
author = {Takahide Adachi and Toshitaka Aoki},
journal= {arXiv preprint arXiv:1805.08392},
year = {2021}
}
Comments
14 pages