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• W2466138974 abstract "Let G be a simply connected semisimple algebraic group with Lie algebra g, let G 0 ⊂ G be the symmetric subgroup defined by an algebraic involution σ and let g 1 ⊂ g be the isotropy representation of G 0 . Given an abelian subalgebra a of g contained in g 1 and stable under the action of some Borel subgroup B 0 ⊂ G 0 , we classify the B 0 -orbits in a and characterize the sphericity of G 0 a . Our main tool is the combinatorics of σ-minuscule elements in the affine Weyl group of g and that of strongly orthogonal roots in Hermitian symmetric spaces." @default.
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• W2466138974 date "2017-01-09" @default.
• W2466138974 modified "2023-10-04" @default.
• W2466138974 title "Spherical nilpotent orbits and abelian subalgebras in isotropy representations" @default.
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• W2466138974 doi "https://doi.org/10.1112/jlms.12022" @default.
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