Associative algebras related to conformal algebras
Abstract
Description
In this note, we introduce a class of algebras that are in some sense related to conformal algebras. This class (called TC-algebras) includes Weyl algebras and some of their (associative and Lie) subalgebras. By a conformal algebra we generally mean what is known as $H$-pseudo-algebra over the polynomial Hopf algebra $H=\Bbbk[T_1,..., T_n]$. Some recent results in structure theory of conformal algebras are applied to get a description of TC-algebras.
Presented at the Cairo Algebra&Coalgebra Conference, 2006; to appear in Applied Categorical Structures
Presented at the Cairo Algebra&Coalgebra Conference, 2006; to appear in Applied Categorical Structures