Associative Algebras Related to Conformal Algebras

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 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$H = \Bbbk [T_{1} , \ldots ,T_{n} ]$\end{document}. Some recent results in structure theory of conformal algebras are applied to get a description of TC-algebras.