Andronick Arutyunov, Igor Zhiltsov
Published 2023-08-01Version 1
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.
Chromatic symmetric functions via the group algebra of $S_n$
A non-abelian analogue of Whitney's 2-isomorphism theorem
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