Classification of Reductive Real Spherical Pairs Ii. the Semisimple Case Friedrich Knop
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چکیده
If g is a real reductive Lie algebra and h ⊂ g is a subalgebra, then (g, h) 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 (g, h), where h is a reductive real algebraic subalgebra. 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. E-mail addresses: [email protected], [email protected], [email protected], [email protected]. Date: January 12, 2018. 2000 Mathematics Subject Classification. 14M17, 20G20, 22E15, 22F30, 53C30. The second author was supported by ERC Advanced Investigators Grant HARG 268105. 1
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