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- W4206860076 abstract "If ${mathfrak g}$ is a real reductive Lie algebra and ${mathfrak h} < {mathfrak g}$ is a subalgebra, then $({mathfrak g}, {mathfrak h})$ is called real spherical provided that ${mathfrak g} = {mathfrak h} + {mathfrak p}$ for some choice of a minimal parabolic subalgebra ${mathfrak p} subset {mathfrak g}$. In this paper we classify all real spherical pairs $({mathfrak g}, {mathfrak h})$ where ${mathfrak g}$ is semi-simple but not simple and ${mathfrak h}$ is a reductive real algebraic subalgebra. The paper is based on the classification of the case where ${mathfrak g}$ is simple (see arXiv:1609.00963) and generalizes the results of Brion and Mikityuk in the (complex) spherical case." @default.
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- W4206860076 date "2019-02-28" @default.
- W4206860076 modified "2023-10-02" @default.
- W4206860076 title "CLASSIFICATION OF REDUCTIVE REAL SPHERICAL PAIRS II. THE SEMISIMPLE CASE" @default.
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- W4206860076 doi "https://doi.org/10.1007/s00031-019-09515-w" @default.
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