Abstract
Let A be a finite dimensional, basic and connected algebra (associative, with 1) over an algebraically closed field, G a finite group and AG the group algebra. The main result gives necessary and sufficient conditions for AG to be of polynomial growth, that is, there is a natural number m such that the indecomposable finite dimensional AG-modules occur, in each dimension d≧2, in a finite number of discrete and at most d one-parameter families.
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Skowroński, A. Group algebras of polynomial growth. Manuscripta Math 59, 499–516 (1987). https://doi.org/10.1007/BF01170851
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DOI: https://doi.org/10.1007/BF01170851