Details
| Original language | English |
|---|---|
| Pages (from-to) | 1133-1149 |
| Number of pages | 17 |
| Journal | Journal of the Mathematical Society of Japan |
| Volume | 58 |
| Issue number | 4 |
| Publication status | Published - Oct 2006 |
| Externally published | Yes |
Abstract
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.
Keywords
- Derived equivalence, Domestic type, Symmetric algebra
ASJC Scopus subject areas
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In: Journal of the Mathematical Society of Japan, Vol. 58, No. 4, 10.2006, p. 1133-1149.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Derived equivalence classification of symmetric algebras of domestic type
AU - Holm, Thorsten
AU - Skowroński, Andrzej
PY - 2006/10
Y1 - 2006/10
N2 - 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.
AB - 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.
KW - Derived equivalence
KW - Domestic type
KW - Symmetric algebra
UR - http://www.scopus.com/inward/record.url?scp=33751406355&partnerID=8YFLogxK
U2 - 10.2969/jmsj/1179759540
DO - 10.2969/jmsj/1179759540
M3 - Article
AN - SCOPUS:33751406355
VL - 58
SP - 1133
EP - 1149
JO - Journal of the Mathematical Society of Japan
JF - Journal of the Mathematical Society of Japan
SN - 0025-5645
IS - 4
ER -