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 = k[T1, . . . , Tn]. Some recent results in structure theory of conformal algebras are applied to get a description of TC-algebras.

DOI: 10.1007/s10485-007-9077-4

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@article{Kolesnikov2008AssociativeAR, title={Associative Algebras Related to Conformal Algebras}, author={Pavel Kolesnikov}, journal={Applied Categorical Structures}, year={2008}, volume={16}, pages={167-181} }