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Deformations of representations

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Abstract

A connection between deformation of Lie group representations and deformations of associated Lie algebra representations is established. Applications are given to the theory of analytic continuation of K-finite quasi-simple representations of semi-simple Lie groups. A construction process of all TCI representations of SL(2,R) is obtained.

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Pinczon, G. Deformations of representations. Lett Math Phys 1, 535–544 (1977). https://doi.org/10.1007/BF00399747

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  • DOI: https://doi.org/10.1007/BF00399747

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