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October, 2006 Derived equivalence classification of symmetric algebras of domestic type
Thorsten HOLM, Andrzej SKOWROŃSKI
J. Math. Soc. Japan 58(4): 1133-1149 (October, 2006). DOI: 10.2969/jmsj/1179759540


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.


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Thorsten HOLM. Andrzej SKOWROŃSKI. "Derived equivalence classification of symmetric algebras of domestic type." J. Math. Soc. Japan 58 (4) 1133 - 1149, October, 2006.


Published: October, 2006
First available in Project Euclid: 21 May 2007

zbMATH: 1108.18007
MathSciNet: MR2276184
Digital Object Identifier: 10.2969/jmsj/1179759540

Primary: 18E30
Secondary: 16D50 , 16G60

Keywords: derived equivalence , domestic type , symmetric algebra

Rights: Copyright © 2006 Mathematical Society of Japan


Vol.58 • No. 4 • October, 2006
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