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arxiv: 1310.2403 · v1 · pith:YWGDEFBNnew · submitted 2013-10-09 · 🧮 math.RT

Infinitely many algebras derived equivalent to a block

classification 🧮 math.RT
keywords equivalentalgebrasblockconjectureconstructionderivedgroupmany
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We give a construction that in many cases gives a simple way to construct infinite families of algebras that are not Morita equivalent, but are all derived equivalent to the same block algebra of a finite group, and apply it to some small blocks. We make some remarks relating this construction to Donovan's Conjecture and Broue's Abelian Defect Group Conjecture.

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