On Associative Conformal Algebras of Linear Growth
Quantum Algebra
2007-05-23 v1 Rings and Algebras
Abstract
Lie conformal algebras appear in the theory of vertex algebras. Their relation is similar to that of Lie algebras and their universal enveloping algebras. Associative conformal algebras play a role in conformal representation theory. We introduce the notions of conformal identity and unital associative conformal algebras and classify finitely generated simple unital associative conformal algebras of linear growth. These are precisely the complete algebras of conformal endomorphisms of finite modules.
Keywords
Cite
@article{arxiv.math/0005258,
title = {On Associative Conformal Algebras of Linear Growth},
author = {Alexander Retakh},
journal= {arXiv preprint arXiv:math/0005258},
year = {2007}
}
Comments
AMS-TeX,19 pages