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- W2950331235 abstract "We study irreducible representations of two classes of conformal Galilei algebras in 1-spatial dimension. We construct a functor which transforms simple modules with nonzero central charge over the Heisenberg subalgebra into simple modules over the conformal Galilei algebras. This can be viewed as an analogue of oscillator representations. We use oscillator representations to describe the structure of simple highest weight modules over conformal Galilei algebras. We classify simple weight modules with finite dimensional weight spaces over finite dimensional Heisenberg algebras and use this classification and properties of oscillator representations to classify simple weight modules with finite dimensional weight spaces over conformal Galilei algebras." @default.
- W2950331235 created "2019-06-27" @default.
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- W2950331235 date "2013-10-23" @default.
- W2950331235 modified "2023-10-14" @default.
- W2950331235 title "On simple modules over conformal Galilei algebras" @default.
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- W2950331235 doi "https://doi.org/10.48550/arxiv.1310.6284" @default.
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