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arXiv · 1305.4945

A remark on Rickard complexes

Yuanyang Zhou
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Abstract

In this paper, we characterize a Rickard complex, which induces a Rickard equivalence between the block algebras of a block $b$ and its Brauer correspondent and whose vertices have the same order as defect groups of the block $b$. The homology of such a Rickard complex vanishes at all degree but degree $q$, and the homology at degree $q$ induces a basic Morita equivalence between the block algebras in the sense of Puig.

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Yuanyang Zhou. 2013-05-21. A remark on Rickard complexes. https://arxiv.org/abs/1305.4945

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