Orbits of real semisimple Lie groups on real loci of complex symmetric spaces

DOI10.1007/s10114-017-7184-1zbMath1455.14099arXiv1704.06097OpenAlexW3104854584WikidataQ115385202 ScholiaQ115385202MaRDI QIDQ1705311

Stéphanie Cupit-Foutou, Dmitry A. Timashev

Publication date: 15 March 2018

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06097

zbMATH Keywords

Galois cohomologyorbitsymmetric spacesemisimple groupreal point

Mathematics Subject Classification ID

Rational points (14G05) Cohomology theory for linear algebraic groups (20G10) Galois cohomology of linear algebraic groups (11E72) Compactifications; symmetric and spherical varieties (14M27)

Related Items (2)

Real structures on symmetric spaces ⋮ On the component group of a real algebraic group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homogeneous spaces and equivariant embeddings
• Hyperfunctions and harmonic analysis on symmetric spaces
• Espaces homogènes sphériques. (Spherical homogeneous spaces)
• Spherical functions on a real semisimple Lie group. A method of reduction to the complex case
• Galois cohomology and real algebraic quotients
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Galois Cohomology
• Double coset decompositions of reductive Lie groups arising from two involutions
• Orbits, invariants, and representations associated to involutions of reductive groups
• Opération de groupes réductifs dans un type de cônes presque homogènes
• The Structure of Semisimple Symmetric Spaces
• Endomorphisms of linear algebraic groups

This page was built for publication: Orbits of real semisimple Lie groups on real loci of complex symmetric spaces