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arXiv · 2008.00390

On $(\sigma,\tau)$-derivations of group algebra as category characters

Aleksandr Alekseev·Andronick Arutyunov·Sergei Silvestrov
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Abstract

For the space of $(\sigma,\tau)$-derivations of the group algebra $ \mathbb{C} [G] $ of discrete countable group $G$, the decomposition theorem for the space of $(\sigma,\tau)$-derivations, generalising the corresponding theorem on ordinary derivations on group algebras, is established in an algebraic context using groupoids and characters. Several corollaries and examples describing when all $(\sigma,\tau)$-derivations are inner are obtained. Considered in details cases on $(\sigma,\tau)-$nilpotent groups and $(\sigma,\tau)$-$FC$ groups.

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BibTeXRIS

Aleksandr Alekseev, Andronick Arutyunov, Sergei Silvestrov. 2020-08-02. On $(\sigma,\tau)$-derivations of group algebra as category characters. https://doi.org/10.1007/978-3-031-32009-5_5

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