Group graded basic Morita equivalences
Tiberiu Coconet, Andrei Marcus

TL;DR
This paper introduces a new concept of group graded basic Morita equivalences between algebras, demonstrating their impact on local levels using the extended Brauer quotient.
Contribution
It defines group graded basic Morita equivalences and shows they induce local equivalences via the extended Brauer quotient.
Findings
Establishment of group graded basic Morita equivalences.
Induction of local graded basic Morita equivalences.
Application of the extended Brauer quotient in this context.
Abstract
We introduce group graded basic Morita equivalences between algebras deter- mined by blocks of normal subgroups, and by using the extended Brauer quotient, we show that they induce graded basic Morita equivalences at local levels.
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