Associative algebras related to conformal algebras

Abstract

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 $H=\mathbb{k}[T_1,...,T_n]$. 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

References in corpus (2)

• Formal distribution algebras and conformal algebras
• Simple associative conformal algebras of linear growth