Representation theory of Yang-Mills algebras
Representation Theory
2008-12-15 v3 Mathematical Physics
math.MP
Abstract
The aim of this article is to describe families or representations of the Yang-Mills algebras YM(n) (where n>1) defined by Connes and Dubois-Violette. We first describe irreducible finite dimensional representations. Next, we provide families of infinite dimensional representations of YM(n), big enough to separate points of the algebra. In order to prove this result, we use that all Weyl algebras Ar(k) are epimorphic images of YM(n).
Cite
@article{arxiv.0807.3974,
title = {Representation theory of Yang-Mills algebras},
author = {Estanislao Herscovich and Andrea Solotar},
journal= {arXiv preprint arXiv:0807.3974},
year = {2008}
}
Comments
24 pages, new versions of Proposition 2.6 and Corollary 2.8, one reference added and one updated