Abstract
We study infinite-dimensional representations of Lie hypergroups on topological vector spaces and the corresponding smooth vectors. We find necessary and sufficient conditions for representations on the algebra of continuous functions with compact support to have continuous extensions to representations of the hypergroup. We prove an analog of the Bruhat theorem on smooth representations of Lie hypergroups.
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This work was supported by Islamic Azad University, Karaj-Branch, Iran.
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Toomanian, M., Amini, M. & Heydari, A. Lie Hyperalgebras and Smooth Vectors of Representations of Lie Hypergroups. Iran J Sci Technol Trans Sci 43, 1039–1048 (2019). https://doi.org/10.1007/s40995-018-0520-1
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DOI: https://doi.org/10.1007/s40995-018-0520-1