Yang-Mills algebras

ANDREA SOLOTAR; ESTANISLAO HERSCOVICH

Pucon

Congreso; XIX Coloquio Latinoamericano de Algebra; 2012

Universidad de la Frontera

The aim of this article is to describe families of representations of the Yang-Mills algebras YM(n) defined by A. Connes and M. Dubois-Violette. We first describe some irreducible finite dimensional representations. Next, we provide families of infinite dimensional representations of  YM, big enough to separate points of the algebra. In order to prove this re-ult, we prove and use that all Weyl algebras Ar(k) are epimorphic images of YM(n).