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Journal of Lie Theory 28 (2018), No. 1, 265--307
Copyright Heldermann Verlag 2018



Classification of spherical algebraic subalgebras of real simple Lie algebras of rank 1

Lisa Knauss
Fakultät für Mathematik, Ruhr-Universität, Universitätsstr. 150, 44801 Bochum, Germany
lisa.knauss@ruhr-uni-bochum.de

Christian Miebach
Université Littoral Côte d'Opale, Laboratoire de Mathématiques, 50 Rue Ferdinand Buisson, 62228 Calais, France
christian.miebach@univ-littoral.fr



We determine all spherical algebraic subalgebras in any simple Lie algebra of real rank 1.

Keywords: Spherical subalgebra, spherical homogeneous space.

MSC: 14M17, 22E15, 22F30.

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