Blocks of group algebras are derived simple
A derived version of Maschke’s theorem for finite groups is proved: the derived categories, bounded or unbounded, of all blocks of the group algebra of a finite group are simple, in the sense that they admit no nontrivial recollements. This result is independent of the characteristic of the base fie...
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| Veröffentlicht in: | Mathematische Zeitschrift 2012-12, Vol.272 (3-4), p.913-920 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | A derived version of Maschke’s theorem for finite groups is proved: the derived categories, bounded or unbounded, of all blocks of the group algebra of a finite group are simple, in the sense that they admit no nontrivial recollements. This result is independent of the characteristic of the base field. |
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| ISSN: | 0025-5874 1432-1823 |
| DOI: | 10.1007/s00209-011-0963-y |