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arXiv · 2503.21703

Trivial source characters in blocks of domestic representation type

Bernhard Böhmler
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Abstract

Let $G$ be a finite group of even order, let $k$ be an algebraically closed field of characteristic $2$, and let $B$ be a block of the group algebra $kG$ which is of domestic representation type. Up to splendid Morita equivalence, precisely three cases can occur: $kV_4$, $k\mathfrak{A}_4$ and the principal block of $k\mathfrak{A}_5$. In each case, given the character values of the ordinary irreducible characters of $B$, we determine the ordinary characters of all trivial source $B$-modules.

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Bernhard Böhmler. 2025-03-27. Trivial source characters in blocks of domestic representation type. https://arxiv.org/abs/2503.21703

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