On irreducible representations of the exotic conformal Galilei algebra

Details On irreducible representations of the exotic conformal Galilei algebra On irreducible representations of the exotic conformal Galilei algebra

2010-10-19

arxiv.org/abs/1010.4075v2

J. Phys. A: Math. Theor. 44 (2011) 035401

Physics

Mathematical Physics

11 pages, added 6 references and conclusing remarks

Scientific paper

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.

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