A characterization for induced modules to be support $\tau$-tilting modules

Ryotaro Koshio; Yuta Kozakai

A characterization for induced modules to be support $\tau$-tilting modules

Representation Theory 2023-02-17 v1 Group Theory

Authors: Ryotaro Koshio , Yuta Kozakai

Abstract

Let $\tilde{G}$ be a finite group and $G$ a normal subgroup of $\tilde{G}$ . In this paper, we give a necessary and sufficient condition for $\mathrm{Ind}_G^{\tilde{G}}M$ to be a support $\tau$ -tilting $k\tilde{G}$ -module for a $kG$ -module $M$ . Moreover, we give the block version of the result.

Keywords

module theory

Cite

@article{arxiv.2302.08109,
  title  = {A characterization for induced modules to be support $\tau$-tilting modules},
  author = {Ryotaro Koshio and Yuta Kozakai},
  journal= {arXiv preprint arXiv:2302.08109},
  year   = {2023}
}

Comments

5 pages

Related papers

View all related →