Derived equivalence classification of symmetric algebras of domestic type

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概要

• 論文の詳細を見る

• We give a complete derived equivalence classification of all symmetric algebras of domestic representation type over an algebraically closed field. This completes previous work by R. Bocian and the authors, where in this paper we solve the crucial problem of distinguishing standard and nonstandard algebras up to derived equivalence. Our main tool are generalized Reynolds ideals, introduced by B. Külshammer for symmetric algebras in positive characteristic, and recently shown by A. Zimmermann to be invariants under derived equivalences.

• 社団法人 日本数学会の論文
• 2006-10-01

著者

• Holm Thorsten

  Department Of Pure Mathematics University Of Leeds

• SKOWRONSKI Andrzej

  Faculty of Mathematics and Computer Science Nicolaus Copernicus University

• Skowronski Andrzej

  Faculty Of Mathematics And Computer Science Nicholas Copernicus University

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