A symmetry of silting quivers
Representation Theory
2023-07-28 v3
Abstract
We investigate symmetry of the silting quiver of a given algebra which is induced by an anti-automorphism of the algebra. In particular, one shows that if there is a primitive idempotent fixed by the anti-automorphism, then the 2-silting quiver ( the support -tilting quiver) has a bisection. Consequently, in that case, we obtain that the cardinality of the 2-silting quiver is an even number (if it is finite).
Keywords
Cite
@article{arxiv.2205.00472,
title = {A symmetry of silting quivers},
author = {Takuma Aihara and Qi Wang},
journal= {arXiv preprint arXiv:2205.00472},
year = {2023}
}
Comments
11 pages, final version, accepted by Glasgow Mathematical Journal