Representation theory of Yang-Mills algebras

ANDREA SOLOTAR; ESTANISLAO HERSCOVICH

Sao Paulo

Congreso; Representation Theory and Quantum Field Theory -I; 2011

IME-USP

The aim of this article is to describe families of representations of theYang-Mills algebras YM(n) defined by A. Connes and M. Dubois-Violette. We first describe some irreducible nite dimensional representations. Next, we provide families of infinite dimensional representations ofYM, big enough to separate points of the algebra. In order to prove this result, we prove and use that all Weyl algebras Ar(k) are epimorphic imagesof YM(n).