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ANTI-HOLOMORPHIC INVOLUTIONS AND SPHERICAL SUBGROUPS OF REDUCTIVE GROUPS

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Abstract

We study the action of an anti-holomorphic involution σ of a connected reductive complex algebraic group G on the set of spherical subgroups of G. The results are applied to σ-equivariant real structures on spherical homogeneous G-spaces admitting a wonderful embedding. Using combinatorial invariants of these varieties, we give an existence and uniqueness criterion for such real structures. We also investigate the associated real parts of the wonderful varieties.

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Authors and Affiliations

  1. Ruhr-Universität Bochum, Fakultät für Mathematik, NA 4/67, Bochum, Germany

    STÉPHANIE CUPIT-FOUTOU

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  1. STÉPHANIE CUPIT-FOUTOU
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Correspondence to STÉPHANIE CUPIT-FOUTOU.

Additional information

This research was funded by the SFB/TR 12 of the German Research Foundation (DFG) and partially by the DFG priority program SPP 1388-Darstellungstheorie.

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CUPIT-FOUTOU, S. ANTI-HOLOMORPHIC INVOLUTIONS AND SPHERICAL SUBGROUPS OF REDUCTIVE GROUPS. Transformation Groups 20, 969–984 (2015). https://doi.org/10.1007/s00031-015-9334-9

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