Satake diagrams and real structures on spherical varieties-Reference-Cited by-同舟云学术

Satake diagrams and real structures on spherical varieties

Published:2015-11 Issue:12 Volume:26 Page:1550103
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Akhiezer Dmitri¹

Affiliation:

1. Institute for Information Transmission Problems, 19 B.Karetny per., 127994 Moscow, Russia

Abstract

With each antiholomorphic involution [Formula: see text] of a connected complex semisimple Lie group [Formula: see text] we associate an automorphism [Formula: see text] of its Dynkin diagram. The definition of [Formula: see text] is given in terms of the Satake diagram of [Formula: see text]. Let [Formula: see text] be a self-normalizing spherical subgroup. If [Formula: see text] then we prove the uniqueness and existence of a [Formula: see text]-equivariant real structure on [Formula: see text] and on the wonderful completion of [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X15501037

Reference14 articles.

1. Real forms of complex reductive groups acting on quasiaffine varieties

2. Vers une généralisation des espaces symétriques

3. �ber Bewertungen, welche unter einer reduktiven Gruppe invariant sind

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence of Equivariant Models of Spherical Varieties and Other G-varieties;International Mathematics Research Notices;2021-07-10

2. Real structures on symmetric spaces;Proceedings of the American Mathematical Society;2021-05-11

3. Real Structures on Horospherical Varieties;Michigan Mathematical Journal;2021-01-01

4. EQUIVARIANT MODELS OF SPHERICAL VARIETIES;Transformation Groups;2019-04-29