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Classification of minimal representations of real simple Lie groups

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Abstract

Based on an idea by Gan and Savin (Represent Theory 9:46–93, 2005), we give a classification of minimal representations of connected simple real Lie groups not of type A. Actually, we prove that there exist no new minimal representations up to infinitesimal equivalence.

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Acknowledgements

The author is deeply grateful to his advisor Prof. Toshiyuki Kobayashi for helpful comments and warm encouragement. The author expresses his sincere thanks to Dr. Yoshiki Oshima and Dr. Masatoshi Kitagawa for inspiring discussions. This work was supported by JSPS KAKENHI Grant Number 17J01075 and the Program for Leading Graduate Schools, MEXT, Japan.

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  1. Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo, 153-8914, Japan

    Hiroyoshi Tamori

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Tamori, H. Classification of minimal representations of real simple Lie groups. Math. Z. 292, 387–402 (2019). https://doi.org/10.1007/s00209-019-02231-x

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