The introduction of the concepts of energy machinery and energy structure on a manifold makes it possible a large class of energy representations of gauge groups including, as a very particular case, the ones known up to now. By using an adaptation of methods initiated by I. M. Gelfand, we provide a sufficient condition for the irreducibility of these representations.
@article{urn:eudml:doc:41110,
title = {Energy machineries on a manifold; application to the construction of new energy representations of Gauge groups.},
journal = {Publicacions Matem\`atiques},
volume = {34},
year = {1990},
pages = {3-24},
zbl = {0713.53062},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41110}
}
Marion, Jean-Yves. Energy machineries on a manifold; application to the construction of new energy representations of Gauge groups.. Publicacions Matemàtiques, Tome 34 (1990) pp. 3-24. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41110/