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research article

Representations of Yang-Mills algebras

Herscovich, Estanislao  
•
Solotar, Andrea
2011
Annals of Mathematics

The aim of this article is to describe families of representations of the Yang-Mills algebras YM(n) (n∈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 separate points of the algebra. In order to prove this result, we prove and use that all Weyl algebras Ar(k) are epimorphic images of YM(n).

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Type
research article
DOI
10.4007/annals.2011.173.2.12
Author(s)
Herscovich, Estanislao  
Solotar, Andrea
Date Issued

2011

Published in
Annals of Mathematics
Volume

173

Issue

2

Start page

1043

End page

1080

Editorial or Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
AVP-E-CAPE  
Available on Infoscience
January 12, 2024
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/202899
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