Derivation Algebra in Noncommutative Group Algebras
- 1 January 2020
- journal article
- research article
- Published by Pleiades Publishing Ltd in Proceedings of the Steklov Institute of Mathematics
- Vol. 308 (1), 22-34
- https://doi.org/10.1134/s0081543820010022
Abstract
For a generally infinite noncommutative discrete group G, we study derivation algebras in the group algebra of G in terms of characters on a groupoid associated with the group. We obtain necessary conditions for a character to define a derivation. Using these conditions, we analyze some examples. In particular, we describe a derivation algebra in the case when the group is a nilpotent group of rank 2.Keywords
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