Associative algebras related to conformal algebras

Details Associative algebras related to conformal algebras Associative algebras related to conformal algebras

2007-06-19

arxiv.org/abs/0706.2721v1

Mathematics

Quantum Algebra

Presented at the Cairo Algebra&Coalgebra Conference, 2006; to appear in Applied Categorical Structures

Scientific paper

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.

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