Tori invariant under an involutorial automorphism. I

DOI10.1016/0001-8708(91)90048-CzbMath0731.20029MaRDI QIDQ807747

Aloysius G. Helminck

Publication date: 1991

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

rational pointsset of fixed pointsCartan subalgebras of real semisimple Lie algebraconjugacy classes of maximal toriconnected reductive linear algebraic groupinvolutional k-automorphismorbits of affine symmetric spaces

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

On Orbit Decompositions for Symmetric k-Varieties ⋮ Some local-global principles in the arithmetic of algebraic groups over real function fields ⋮ Tori invariant under an involutorial automorphism. II ⋮ Extended symmetric spaces and θ-twisted involution graphs ⋮ Distinguished Representations of Reductive p-Adic Groups ⋮ On generalized Cartan subspaces ⋮ The support of closed orbit relative matrix coefficients ⋮ Minimal parabolic k-subgroups acting on symmetric k-varieties corresponding to k-split groups ⋮ Computing orbits of minimal parabolic \(k\)-subgroups acting on symmetric \(k\)-varieties ⋮ On the classification of \(k\)-involutions ⋮ A class of parabolic $k$-subgroups associated with symmetric $k$-varieties ⋮ Orbits and invariants associated with a pair of commuting involutions

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