Modules for algebraic groups with finitely many orbits on subspaces

DOI10.1006/jabr.1997.7068zbMath0906.20029OpenAlexW2063455811MaRDI QIDQ1373211

Martin W. Liebeck, Robert M. Guralnick, Gary M. Seitz, Dugald Macpherson

Publication date: 14 December 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7068

zbMATH Keywords

numbers of orbitsreductive algebraic groupsconnected linear algebraic groupsfinite-dimensional irreducible rational modules

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Classical groups (algebro-geometric aspects) (14L35)

Related Items

Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements, Finite singular orbit modules for algebraic groups, Orbits of Low Codimension on Irreducible Representations of Simple Algebraic Groups, A 14-dimensional Module for the Symplectic Group: Orbits on Vectors, Modules for algebraic groups with finitely many orbits on totally singular 2-spaces, Outer unipotent classes in automorphism groups of simple algebraic groups, Affine representability of quadrics revisited, SIMPLE GROUPS STABILIZING POLYNOMIALS, Spherical subgroups in simple algebraic groups, Note on prehomogeneous vector spaces., Products of conjugacy classes in finite and algebraic simple groups., Covering numbers for simple algebraic groups, Generically free representations. II: Irreducible representations, Spinors and essential dimension, Infiniteness of double coset collections in algebraic groups., On the centralizer of the sum of commuting nilpotent elements., Affine distance-transitive graphs and classical groups, Almost simple groups with long orbits in absolutely irreducible action., Abelian unipotent subgroups of reductive groups, Double coset density in classical algebraic groups, Incidence matrices, permutation characters, and the minimal genus of a permutation group

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