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@article{faucris.213971099,
abstract = {If π€ is a real reductive Lie algebra and π₯βπ€ is a subalgebra, then the pair (π₯,π€) is called real spherical provided that π€=π₯+π for some choice of a minimal parabolic subalgebra πβπ€. This paper concludes the classification of real spherical pairs (π₯,π€), where π₯
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 π€ is simple. The present work builds on that case and on the classification by Brion and Mikityuk for the complex spherical cas},
author = {Knop, Friedrich and KrΓΆtz, Bernhard and Pecher, Tobias and Schlichtkrull, Henrik},
doi = {10.1007/s00031-019-09515-w},
faupublication = {yes},
journal = {Transformation Groups},
peerreviewed = {Yes},
title = {{Classification} of reductive real spherical pairs {II}. {The} semisimple case},
year = {2019}
}