Equivariant formality of isotropy actions on homogeneous spaces defined by Lie group automorphisms

Goertsches, Oliver und Noshari, Sam Haghshenas (2016): Equivariant formality of isotropy actions on homogeneous spaces defined by Lie group automorphisms. In: Journal of Pure and Applied Algebra, Bd. 220, Nr. 5: S. 2017-2028

Abstract

Given a compact, connected Lie group G and a compact, connected Lie subgroup K defined by an automorphism of G, we show that the isotropy action of K on G/K is equivariantly formal and that (G, K) is a Cartan pair. (C) 2015 Elsevier B.V. All rights reserved.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0022-4049
• Sprache: Englisch