Representation dimension and tilting |
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| Authors: | Dieter Happel Luise Unger |
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| Affiliation: | a Fakultät für Mathematik, Technische Universität Chemnitz, D-09107 Chemnitz, Germanyb Fakultät für Mathematik und Informatik, Fernuniversität Hagen, D-58084 Hagen, Germany |
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| Abstract: | Let Λ be a finite dimensional k-algebra over an algebraically closed field k and let ΛT be a splitting tilting module of projective dimension at most 1. Let Γ=EndΛT. If the representation dimension of Λ is at most 3 then the main result asserts that the representation dimension of Γ does not exceed that of Λ. |
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| Keywords: | 16E05 16E10 16G10 |
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