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arXiv:2204.12268 [math.RT]AbstractReferencesReviewsResources

Representations and cohomologies of Kleinian 4-rings

Yuriy A. Drozd

Published 2022-04-26Version 1

We introduce a new class of algebras over discrete valuation rings, called Kleinian 4-rings, which generalize the group algebra of the Kleinian 4-group. For these algebras we describe the lattices and their cohomologies. In the case of regular lattices we obtain an explicit form of cocycles defining the cohomology classes.

Comments: 13 pages
Categories: math.RT, math.KT
Subjects: 16E40, 16H20, 16G70
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