Blocks of group algebras are derived simple

Mathematics – Representation Theory

Scientific paper

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8 pages

Scientific paper

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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