On irreducible representations of the exotic conformal Galilei algebra
Mathematical Physics
2015-05-20 v2 math.MP
Representation Theory
Abstract
We investigate the representations of the exotic conformal Galilei algebra. This is done by explicitly constructing all singular vectors within the Verma modules, and then deducing irreducibility of the associated highest weight quotient modules. A resulting classification of infinite dimensional irreducible modules is presented.
Keywords
Cite
@article{arxiv.1010.4075,
title = {On irreducible representations of the exotic conformal Galilei algebra},
author = {Naruhiko Aizawa and Phillip S Isaac},
journal= {arXiv preprint arXiv:1010.4075},
year = {2015}
}
Comments
11 pages, added 6 references and conclusing remarks