On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the Abelian defect group conjecture
| Autor: | Radha Kessar |
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| Rok vydání: | 2012 |
| Předmět: |
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Pure mathematics Conjecture General Mathematics 20C20 16D90 Complete intersection Outer automorphism group Group Theory (math.GR) FOS: Mathematics Isomorphism class Representation Theory (math.RT) Equivalence (formal languages) Abelian group QA Mathematics::Representation Theory Mathematics - Group Theory Simple module Mathematics - Representation Theory Mathematics |
| Zdroj: | Journal of the London Mathematical Society |
| ISSN: | 0024-6107 |
| DOI: | 10.1112/jlms/jdr047 |
| Popis: | Using a stable equivalence due to Rouquier, we prove that Broue's abelian defect group conjecture holds for 3-blocks of defect 2 whose Brauer correspondent has a unique isomorphism class of simple modules. The proof makes use of the fact, also due to Rouquier, that a stable equivalence of Morita type between self-injective algebras induces an isomorphism between the connected components of the outer automorphism groups of the algebras. 21 pages |
| Databáze: | OpenAIRE |
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