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UNIPOTENT COMMUTATIVE GROUP ACTIONS ON FLAG VARIETIES AND NILPOTENT MULTIPLICATIONS

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Abstract

Our goal is to classify all generically transitive actions of commutative unipotent groups on flag varieties up to conjugation. We establish a relationship between this problem and the classification of multiplications with certain properties on Lie algebra representations. Then we classify multiplications with the desired properties and solve the initial classification problem.

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Authors and Affiliations

  1. Department of Mathematics, Higher School of Economics, Vavilova 7, Moscow, 117312, Russia

    ROSTISLAV DEVYATOV

  2. Institut für Mathematik, Freie Universität Berlin, Arnimallee 3, Raum 114, 14195, Berlin, Germany

    ROSTISLAV DEVYATOV

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  1. ROSTISLAV DEVYATOV
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Correspondence to ROSTISLAV DEVYATOV.

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Supported in part by the Simons Foundation.

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DEVYATOV, R. UNIPOTENT COMMUTATIVE GROUP ACTIONS ON FLAG VARIETIES AND NILPOTENT MULTIPLICATIONS. Transformation Groups 20, 21–64 (2015). https://doi.org/10.1007/s00031-015-9306-0

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  • DOI: https://doi.org/10.1007/s00031-015-9306-0

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