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- W4300631365 abstract "We examine from an algebraic point of view some families of unitary group representations that arise in mathematical physics and are associated to contraction families of Lie groups. The contraction families of groups relate different real forms of a reductive group and are continuously parametrized, but the unitary representations are defined over a parameter subspace that includes both discrete and continuous parts. Both finite- and infinite-dimensional representations can occur, even within the same family. We shall study the simplest nontrivial examples, and use the concepts of algebraic families of Harish-Chandra pairs and Harish-Chandra modules, introduced in a previous paper, together with the Jantzen filtration, to construct these families of unitary representations algebraically." @default.
- W4300631365 created "2022-10-03" @default.
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- W4300631365 date "2017-03-11" @default.
- W4300631365 modified "2023-09-27" @default.
- W4300631365 title "Contractions of Representations and Algebraic Families of Harish-Chandra Modules" @default.
- W4300631365 doi "https://doi.org/10.48550/arxiv.1703.04028" @default.
- W4300631365 hasPublicationYear "2017" @default.
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