Antiholomorphic involutions of spherical complex spaces
| dc.creator | Akhiezer, Dmitri | |
| dc.creator | Puettmann, Annett | |
| dc.date | 2006-01-25 | |
| dc.date.accessioned | 2026-07-07T10:38:19Z | |
| dc.date.available | 2026-07-07T10:38:19Z | |
| dc.description | Let X be a holomorphically separable irreducible reduced complex space, K a connected compact Lie group acting on X by holomorphic transformations, theta : K -> K a Weyl involution, and mu : X -> X an antiholomorphic involution map satisfying mu(kx) = theta(k) mu(x) for x in X and k in K. We show that if the holomorphic functions on X form a multiplicity free K-module then mu maps every K-orbit onto itself. For a spherical affine homogeneous space X=G/H of the reductive group G (the complexification of K) we construct an antiholomorphic map mu with these properties. | |
| dc.identifier | https://arxiv.org/abs/math/0601625 | |
| dc.identifier | http://arxiv.org/abs/math/0601625 | |
| dc.identifier | Proc. Amer. Math. Soc. 136 (2008), no. 5, 1649--1657 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/180680 | |
| dc.subject | Complex Variables | |
| dc.subject | Primary 32M05; Secondary 43A85 | |
| dc.title | Antiholomorphic involutions of spherical complex spaces | |
| dc.type | text |