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

Goertsches, Oliver; Noshari, Sam Haghshenas (2016): Equivariant formality of isotropy actions on homogeneous spaces defined by Lie group automorphisms. In: Journal of Pure and Applied Algebra, Vol. 220, No. 5: pp. 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0022-4049
• Language: English