Character series and Sklyanin algebras at points of order 2

Abstract

This paper has two goals: to prove certain properties of character series of graded algebras on which a finite group acts as algebra automorphisms and to provide a detailed analysis of representations of 5-dimensional Sklyanin algebras at points of order 2. We also prove that for any odd prime p, the p-dimensional Sklyanin algebras associated to points of order 2 are graded Clifford algebras.