Almost Split Sequences for Group Algebras of Finite Representation Type
Open Access
- 1 October 1977
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 233, 125-136
- https://doi.org/10.2307/1997826
Abstract
Let k be an algebraically closed field of characteristic p and G a finite group such that p divides the order of G. We compute all almost split sequences over kG when kG is of finite representation type, or more generally, for a finite dimensional k-algebra given by a Brauer tree. We apply this to show that if and are stably equivalent k-algebras given by Brauer trees, then they have the same number of simple modules.Keywords
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