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

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.

References in corpus (3)

• Quantum-corrected scattering and absorption of a Schwarzschild black hole with GUP
• Derivations of group rings
• Quasi-Lie structure of twisted derivations of Laurent polynomials