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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Almost split sequences for group algebras of finite representation type
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by Idun Reiten PDF
Trans. Amer. Math. Soc. 233 (1977), 125-136 Request permission

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 $\Lambda$ given by a Brauer tree. We apply this to show that if $\Lambda$ and $\Lambda ’$ are stably equivalent k-algebras given by Brauer trees, then they have the same number of simple modules.
References
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 233 (1977), 125-136
  • MSC: Primary 16A26; Secondary 20C05
  • DOI: https://doi.org/10.1090/S0002-9947-1977-0573041-3
  • MathSciNet review: 0573041