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On the integrability of representations of finite dimensional real Lie algebras

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Abstract

We give an integrability criterion for Lie algebra representations in a reflexive Banach space. Applications are given to skewsymmetric Lie algebra representations in Hilbert spaces and to essential skewadjointness of a sum of two skewadjoint operators.

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References

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Authors and Affiliations

  1. Département de Mathématiques, Université de Dijon, Dijon, France

    Jacques Simon

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  1. Jacques Simon
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Simon, J. On the integrability of representations of finite dimensional real Lie algebras. Commun.Math. Phys. 28, 39–46 (1972). https://doi.org/10.1007/BF02099370

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  • DOI: https://doi.org/10.1007/BF02099370

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