On irreducible representations of the exotic conformal Galilei algebra
arXiv:1010.4075 · doi:10.1088/1751-8113/44/3/035401
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.
11 pages, added 6 references and conclusing remarks
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Cited by in corpus (14)
- Intertwining operators for l-conformal Galilei algebras and hierarchy of invariant equations
- Non-Relativistic Holography -- A Group-Theoretical Perspective
- Logarithmic Exotic Conformal Galilean Algebras
- A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras
- Galilean conformal algebras in two spatial dimension
- Possible Central Extensions of Non-Relativistic Conformal Algebras in 1+1
- On Casimir Operators of Conformal Galilei Algebras
- Lowest Weight Representations, Singular Vectors and Invariant Equations for a Class of Conformal Galilei Algebras
- Lowest weight representations of super Schrodinger algebras in low dimensional spacetime
- Classification of simple weight modules over the 1-spatial ageing algebra
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- The Lie algebra of the lowest transitively differential group of degree three
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