Representation theory of Yang-Mills algebras

Details Representation theory of Yang-Mills algebras Representation theory of Yang-Mills algebras

2008-07-24

arxiv.org/abs/0807.3974v3

Mathematics

Representation Theory

24 pages, new versions of Proposition 2.6 and Corollary 2.8, one reference added and one updated

Scientific paper

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).

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