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Global dimensions for endomorphism algebras of tilting modules

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Abstract.

Let \(\Lambda \) be an Artin algebra of finite global dimension and let T be a tilting module over \(\Lambda\). We develop bounds for the global dimension of the endomorphism algebra \(\Gamma \) of T in terms of homological data of T.

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Authors and Affiliations

  1. Departamento de Matemática, Universidad Nacional del Sur, Bahia Blanca, Argentina, , , , , , AR

    S. Gastaminza, M.I. Platzeck & M.J. Redondo

  2. Fakultät für Mathematik, Technische Universität Chemnitz, 09107 Chemnitz, Germany, , , , , , DE

    D. Happel

  3. Fachbereich für Mathematik, Fernuniversität Hagen, 58084 Hagen, Germany, , , , , , DE

    L. Unger

Authors
  1. S. Gastaminza
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  2. D. Happel
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  3. M.I. Platzeck
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  4. M.J. Redondo
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  5. L. Unger
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Received: 19.5.1999

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Gastaminza, S., Happel, D., Platzeck, M. et al. Global dimensions for endomorphism algebras of tilting modules. Arch. Math. 75, 247–255 (2000). https://doi.org/10.1007/s000130050500

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  • DOI: https://doi.org/10.1007/s000130050500

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