Geodesic
Representations of Yang-Mills algebras
Estanislao Herscovich1 ; Andrea Solotar2
1 Universidad de Buenos Aires<br/> Buenos Aires<br/> Argentina
2 Universidad de Buenos Aires<br> Buenos Aires<br> Argentina
Annals of mathematics, Tome 173 (2011) no. 2, pp. 1043-1080.

Voir la notice de l'article provenant de la source Annals of Mathematics website

The aim of this article is to describe families of representations of the Yang-Mills algebras $\mathrm{YM}(n)$ ($n \in \mathbb{N}_{\geq 2}$) 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 $\mathrm{YM}$, big enough to separate 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 $\mathrm{YM}(n)$.
DOI : 10.4007/annals.2011.173.2.12

Estanislao Herscovich 1 ; Andrea Solotar 2

1 Universidad de Buenos Aires<br/> Buenos Aires<br/> Argentina
2 Universidad de Buenos Aires<br> Buenos Aires<br> Argentina 
@article{10_4007_annals_2011_173_2_12,
     author = {Estanislao Herscovich and Andrea Solotar},
     title = {Representations of {Yang-Mills} algebras},
     journal = {Annals of mathematics},
     pages = {1043--1080},
     publisher = {mathdoc},
     volume = {173},
     number = {2},
     year = {2011},
     doi = {10.4007/annals.2011.173.2.12},
     mrnumber = {2776370},
     zbl = {05960679},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.173.2.12/}
}
TY  - JOUR
AU  - Estanislao Herscovich
AU  - Andrea Solotar
TI  - Representations of Yang-Mills algebras
JO  - Annals of mathematics
PY  - 2011
SP  - 1043
EP  - 1080
VL  - 173
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.173.2.12/
DO  - 10.4007/annals.2011.173.2.12
LA  - en
ID  - 10_4007_annals_2011_173_2_12
ER  - 
%0 Journal Article
%A Estanislao Herscovich
%A Andrea Solotar
%T Representations of Yang-Mills algebras
%J Annals of mathematics
%D 2011
%P 1043-1080
%V 173
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.173.2.12/
%R 10.4007/annals.2011.173.2.12
%G en
%F 10_4007_annals_2011_173_2_12
Estanislao Herscovich; Andrea Solotar. Representations of Yang-Mills algebras. Annals of mathematics, Tome 173 (2011) no. 2, pp. 1043-1080. doi : 10.4007/annals.2011.173.2.12. http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.173.2.12/

Cité par Sources :