Classification of reductive real spherical pairs II: the semisimple case

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If g is a real reductive Lie algebra and h⊂ g is a subalgebra, then the pair (h, g) is called real spherical provided that g= h+ p for some choice of a minimal parabolic subalgebra p⊂ g. This paper concludes the classification of real spherical pairs (h, g), where h is a reductive real algebraic subalgebra. More precisely, we classify all such pairs which are strictly indecomposable, and we discuss (in Section 6) how to construct from these all real spherical pairs. A preceding paper treated the case where g is simple. The present work builds on that case and on the classification by Brion and Mikityuk for the complex spherical case.

Original languageEnglish
JournalTransformation Groups
Volume24
Issue number2
Pages (from-to)467-510
ISSN1083-4362
DOIs
Publication statusPublished - 2019

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