Reductive subgroups of reductive groups in nonzero characteristic.

DOI10.1016/S0021-8693(03)00189-3zbMath1103.20045MaRDI QIDQ1873799

Benjamin M. S. Martin

Publication date: 27 May 2003

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

finite groupsreductive algebraic groupsreductive subgroupscoordinate ringscharacter varietiesprime characteristicfinite morphismsstrong reductivity

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30)

Related Items (18)

STABILITY OF AFFINE G-VARIETIES AND IRREDUCIBILITY IN REDUCTIVE GROUPS ⋮ Complete reducibility: variations on a theme of Serre ⋮ Overgroups of regular unipotent elements in reductive groups ⋮ On conjugacy classes of maximal subgroups of finite simple groups, and a related zeta function. ⋮ SIMPLE GROUPS STABILIZING POLYNOMIALS ⋮ A normal subgroup of a strongly reductive subgroup is strongly reductive ⋮ On a question of Külshammer for homomorphisms of algebraic groups ⋮ Complete reducibility for Lie subalgebras and semisimplification ⋮ On character varieties with non-connected structure groups ⋮ Complete reducibility and commuting subgroups ⋮ Complete reducibility and conjugacy classes of tuples in algebraic groups and Lie algebras. ⋮ A geometric approach to complete reducibility. ⋮ Complete reducibility and separability ⋮ Probabilistic and Asymptotic Aspects of Finite Simple Groups ⋮ $G$-complete reducibility in non-connected groups ⋮ Closed orbits and uniform $S$-instability in geometric invariant theory ⋮ Intersections of conjugacy classes and subgroups of algebraic groups ⋮ Orbit closures and invariants

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