On the stable module category of a self-injective algebra

Erdmann, Karin; Kerner, Otto

doi:10.1090/S0002-9947-00-02232-7

On the stable module category of a self-injective algebra
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by Karin Erdmann and Otto Kerner PDF

Trans. Amer. Math. Soc. 352 (2000), 2389-2405 Request permission

Abstract:

Let $\Lambda$ be a finite-dimensional self-injective algebra. We study the dimensions of spaces of stable homomorphisms between indecomposable $\Lambda$-modules which belong to Auslander-Reiten components of the form $\mathbf {Z}A_\infty$ or $\mathbf {Z}A_\infty /\langle \tau ^k\rangle$. The results are applied to representations of finite groups over fields of prime characteristic, especially blocks of wild representation type.

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