Group graded basic Morita equivalences

2016/07/08 by Coconet, Tiberiu, Marcus, Andrei
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1607.02262

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.

Related

• Morita equivalence for graded rings
• Group graded Morita equivalences for wreath products
• Graded Morita equivalence of Clifford superalgebras
• Character triples and equivalences over a group graded G-algebra
• Graded Morita theory over a G-graded G-acted algebra