ANTI-HOLOMORPHIC INVOLUTIONS AND SPHERICAL SUBGROUPS OF REDUCTIVE GROUPS

作者:Cupit Foutou Stephanie*
来源:Transformation Groups, 2015, 20(4): 969-984.
DOI:10.1007/s00031-015-9334-9

摘要

We study the action of an anti-holomorphic involution sigma of a connected reductive complex algebraic group G on the set of spherical subgroups of G. The results are applied to sigma-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.

  • 出版日期2015-12