Representation theory of Yang-Mills algebras

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dc.creatorHerscovich, Estanislao
dc.creatorSolotar, Andrea
dc.date2008-07-24
dc.date2008-12-15
dc.date.accessioned2026-07-07T12:12:17Z
dc.date.available2026-07-07T12:12:17Z
dc.descriptionThe 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).
dc.description24 pages, new versions of Proposition 2.6 and Corollary 2.8, one reference added and one updated
dc.identifierhttps://arxiv.org/abs/0807.3974
dc.identifierhttp://arxiv.org/abs/0807.3974
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210498
dc.subjectRepresentation Theory
dc.subjectMathematical Physics
dc.subject13N10; 16S32; 17B56; 70S15; 81T13.
dc.titleRepresentation theory of Yang-Mills algebras
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