Grading Structure for Derivations of Group Algebras
Combinatorics
2023-08-02 v1
Abstract
In this paper we give a way of equipping the derivation algebra of a group algebra with the structure of a graded algebra. The derived group is used as the grading group. For the proof, the identification of the derivation with the characters of the adjoint action groupoid is used. These results also allow us to obtain the analogous structure of a graded algebra for outer derivations. A non-trivial graduation is obtained for all groups that are not perfect.
Cite
@article{arxiv.2308.00512,
title = {Grading Structure for Derivations of Group Algebras},
author = {Andronick Arutyunov and Igor Zhiltsov},
journal= {arXiv preprint arXiv:2308.00512},
year = {2023}
}
Comments
12 pages