Representations and cohomologies of Kleinian 4-rings
Representation Theory
2022-04-28 v2 K-Theory and Homology
Abstract
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.
Cite
@article{arxiv.2204.12268,
title = {Representations and cohomologies of Kleinian 4-rings},
author = {Yuriy A. Drozd},
journal= {arXiv preprint arXiv:2204.12268},
year = {2022}
}
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13 pages