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Multiplicity in Restricting Minimal Representations

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Lie Theory and Its Applications in Physics (LT 2021)

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Abstract

We discuss the action of a subgroup on small nilpotent orbits, and prove a bounded multiplicity property for the restriction of minimal representations of real reductive Lie groups with respect to arbitrary reductive symmetric pairs.

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Acknowledgements

The author warmly thanks Professor Vladimir Dobrev for his hospitality during the 14th International Workshop: Lie Theory and its Applications in Physics, held online in Bulgaria, 20–26 June 2021. This work was partially supported by Grant-in-Aid for Scientific Research (A) (18H03669), JSPS.

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Authors and Affiliations

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

    Toshiyuki Kobayashi

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  1. Toshiyuki Kobayashi
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Correspondence to Toshiyuki Kobayashi .

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Editors and Affiliations

  1. Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Vladimir Dobrev

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Kobayashi, T. (2022). Multiplicity in Restricting Minimal Representations. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. LT 2021. Springer Proceedings in Mathematics & Statistics, vol 396. Springer, Singapore. https://doi.org/10.1007/978-981-19-4751-3_1

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