Graded associative conformal algebras of finite type

Abstract

In this paper, we consider graded associative conformal algebras. The class of these objects includes pseudo-algebras over non-cocommutative Hopf algebras of regular functions on some linear algebraic groups. In particular, an associative conformal algebra which is graded by a finite group $\Gamma$ is a pseudo-algebra over the coordinate Hopf algebra of a linear algebraic group $G$ such that the identity component $G^0$ is the affine line and $G/G^0\simeq \Gamma$. A classification of simple and semisimple graded associative conformal algebras of finite type is obtained.

References in corpus (2)

• Theory of Finite Pseudoalgebras
• $\Gamma$-Conformal Algebras

Cited by in corpus (1)

• Standard bases for the universal associative conformal envelopes of Kac--Moody conformal algebras