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The Exponential of Nilpotent Supergroups in the Theory of Harish-Chandra Representations

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Geometric Science of Information (GSI 2019)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 11712))

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Abstract

In this paper we discuss the exponential map in the case of nilpotent superalgebras. This provides global coordinates for nilpotent analytic supergroups, which are useful in the applications.

Supported by funded project GHAIA (GA 777822).

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Acknowledgements

We are indebted to Prof. F. Gavarini for remarks and suggestions.

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Authors and Affiliations

  1. DIME, Università di Genova, Genova, Italy

    Claudio Carmeli

  2. Dipartimento di Matematica, University of Bologna, piazza Porta San Donato 5, 40126, Bologna, Italy

    Rita Fioresi

  3. Department of Mathematics, UCLA, Los Angeles, CA, 90095-1555, USA

    V. S. Varadarajan

Authors
  1. Claudio Carmeli
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  2. Rita Fioresi
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  3. V. S. Varadarajan
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Corresponding author

Correspondence to Rita Fioresi .

Editor information

Editors and Affiliations

  1. Sony Computer Science Laboratories, Inc., Tokyo, Japan

    Frank Nielsen

  2. Thales, Limours, France

    Frédéric Barbaresco

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Carmeli, C., Fioresi, R., Varadarajan, V.S. (2019). The Exponential of Nilpotent Supergroups in the Theory of Harish-Chandra Representations. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2019. Lecture Notes in Computer Science(), vol 11712. Springer, Cham. https://doi.org/10.1007/978-3-030-26980-7_20

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  • DOI: https://doi.org/10.1007/978-3-030-26980-7_20

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-26979-1

  • Online ISBN: 978-3-030-26980-7

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