Trivial source characters in blocks with cyclic defect groups
Representation Theory
2020-04-07 v1
Abstract
We describe the ordinary characters of trivial source modules lying in blocks with cyclic defect groups relying on their recent classification in terms of paths on the Brauer tree by G.~Hiss and the second author. In particular, we show how to recover the exceptional constituents of such characters using the source algebra of the block.
Keywords
Cite
@article{arxiv.2003.05243,
title = {Trivial source characters in blocks with cyclic defect groups},
author = {Shigeo Koshitani and Caroline Lassueur},
journal= {arXiv preprint arXiv:2003.05243},
year = {2020}
}
Comments
25pages. arXiv admin note: text overlap with arXiv:1908.07833