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ISSN 1088-6850(e) ISSN 0002-9947(p)

On the stable module category of a self-injective algebra

Author(s): Karin Erdmann; Otto Kerner
Journal: Trans. Amer. Math. Soc. 352 (2000), 2389-2405.
MSC (2000): Primary 18G25; Secondary 16G70, 20C20
Posted: February 14, 2000
MathSciNet review: 1487612
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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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