Graded associative conformal algebras of finite type

Details Graded associative conformal algebras of finite type Graded associative conformal algebras of finite type

2011-08-02

arxiv.org/abs/1108.0508v1

Mathematics

Quantum Algebra

Scientific paper

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.

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