Representations of Yang-Mills algebras
成果类型：
Article
署名作者：
Herscovich, Estanislao; Solotar, Andrea
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.4007/annals.2011.173.2.12
发表日期：
2011
页码：
1043-1080
关键词：
摘要：
The aim of this article is to describe families of representations of the Yang-Mills algebras YM(n) (n is an element of N->= 2) defined by A. Connes and M. Dubois-Violette. We first describe some irreducible finite dimensional representations. Next, we provide families of infinite dimensional representations of YM, big enough to seperate points of the algebra. In order to prove this result, we prove and use that all Weyl algebras A(r)(k) are epimorphic images of YM(n).