Associative algebras related to conformal algebras

Pavel Kolesnikov

Associative algebras related to conformal algebras

Quantum Algebra 2007-06-20 v1 Rings and Algebras

Authors: Pavel Kolesnikov

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 $H=\Bbbk[T_1,..., T_n]$ . Some recent results in structure theory of conformal algebras are applied to get a description of TC-algebras.

Keywords

associative algebras conformal algebras TC-algebras Weyl algebras H-pseudo-algebra Hopf algebra structure theory

Cite

@article{arxiv.0706.2721,
  title  = {Associative algebras related to conformal algebras},
  author = {Pavel Kolesnikov},
  journal= {arXiv preprint arXiv:0706.2721},
  year   = {2007}
}

Comments

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

Associative algebras related to conformal algebras

Abstract

Keywords

Cite

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