Graded Morita equivalence of Clifford superalgebras

Details Graded Morita equivalence of Clifford superalgebras Graded Morita equivalence of Clifford superalgebras

2011-10-08

arxiv.org/abs/1110.1737v3

Mathematics

Rings and Algebras

To appear in Advances in Applied Clifford Algebras

Scientific paper

This note uses a variation of graded Morita theory for finite dimensional
superalgebras to determine explicitly the graded basic superalgebras for all
real and complex Clifford superalgebras. As an application, the Grothendieck
groups of the category of left $\mathbb{Z}_2$-graded modules over all real and
complex Clifford superalgebras are described explicitly.

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