Radical cube zero selfinjective algebras of finite complexity |
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Authors: | Karin Erdmann |
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Affiliation: | a Mathematical Institute, 24-29 St. Giles, Oxford OX1 3LB, England, United Kingdomb Institutt for matematiske fag, NTNU, N-7491 Trondheim, Norway |
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Abstract: | One of our main results is a classification of all the possible quivers of selfinjective radical cube zero finite-dimensional algebras over an algebraically closed field having finite complexity. In the paper (Erdmann and Solberg, 2011) [5] we classified all weakly symmetric algebras with support varieties via Hochschild cohomology satisfying Dade’s Lemma. For a finite-dimensional algebra to have such a theory of support varieties implies that the algebra has finite complexity. Hence this paper is a partial extension of [5]. |
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Keywords: | Primary, 16P10, 16G20, 16L60, 16E05, 16P90 Secondary, 16S37 |
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