Conjugacy classes in Lie algebras and algebraic groups
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Publication:2526017
DOI10.2307/1970359zbMath0153.04501OpenAlexW2091384925WikidataQ93274088 ScholiaQ93274088MaRDI QIDQ2526017
Publication date: 1967
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1970359
Related Items (60)
Reductive pairs arising from representations. ⋮ Spherical orbits and quantized enveloping algebras ⋮ Unnamed Item ⋮ On the congruence subgroup problem. II ⋮ On the coadjoint orbits of maximal unipotent subgroups of reductive groups. ⋮ On a question of Külshammer for representations of finite groups in reductive groups ⋮ Centers of Centralizers in Reductive Algebraic Groups ⋮ Structure of finite subgroups of simple algebraic groups ⋮ Relative Springer isomorphisms. ⋮ Enumeration of commuting pairs in Lie algebras over finite fields ⋮ Parity sheaves ⋮ Non-separability and complete reducibility: \(E_n\) examples with an application to a question of Külshammer ⋮ Generation of groups by rank-2 tori ⋮ Orbital varieties in \({\mathfrak sl}_n\) and the Smith conjecture ⋮ Unnamed Item ⋮ Asymptotics for Hecke eigenvalues of automorphic forms on compact arithmetic quotients ⋮ Equidistribution of expanding translates of curves and Diophantine approximation on matrices ⋮ Invariants mod-2 and subgroups of \(G_2\) and \(F_4\) ⋮ Projections of the minimal nilpotent orbit in a simple Lie algebra and secant varieties ⋮ On a question of Külshammer for homomorphisms of algebraic groups ⋮ A counterexample to a conjugacy conjecture of Steinberg ⋮ Normalizers and self-normalizing subgroups. II. ⋮ Separability and complete reducibility of subgroups of the Weyl group of a simple algebraic group of type \(E_7\). ⋮ Richardson elements for parabolic subgroups of classical groups in positive characteristic ⋮ Nilpotent commuting varieties of reductive Lie algebras ⋮ Distinguished nilpotent orbits, Kostant pairs and normalizers of Lie algebras ⋮ Levi decomposition of nilpotent centralisers in classical groups ⋮ Finiteness of \(z\)-classes in reductive groups ⋮ Varieties of modules for \(\mathbb Z/2\mathbb Z \times \mathbb Z/2\mathbb Z\) ⋮ Linear groups ⋮ A geometric approach to complete reducibility. ⋮ Complete reducibility and separability ⋮ Complete reducibility, Külshammer’s question, conjugacy classes: A D4 example ⋮ Conjugacy and stability theorems in connection with contraction of Lie algebras ⋮ Classes of unipotent elements in simple algebraic groups. I ⋮ Classes of unipotent elements in simple algebraic groups. II ⋮ Generic fibers of the generalized Springer resolution of type \(A\) ⋮ Weakly closed unipotent subgroups in Chevalley groups. ⋮ Lie groups and homogeneous spaces ⋮ On the desingularization of the unipotent variety ⋮ On the finiteness of the number of unipotent classes ⋮ Theta functions on moduli spaces of 𝐺-bundles ⋮ Desingularizations of varieties of nullforms ⋮ Conjugacy in a semisimple Lie algebra is determined by similarity under fundamental representations ⋮ Some results on multiplicities for SL(n) ⋮ Endliche Erzeugbarkeit arithmetischer Gruppen über Funktionenkörpern ⋮ Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces ⋮ Automorphisms of Albert algebras and a conjecture of Tits and Weiss ⋮ Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields III ⋮ Canonical form and stationary subalgebras of points of general position for simple linear Lie groups ⋮ Stationary subalgebras of points of the common state for irreducible linear Lie groups ⋮ On orbits of algebraic groups and Lie groups ⋮ On the smoothness of centralizers in reductive groups ⋮ Intersections of conjugacy classes and subgroups of algebraic groups ⋮ Diophantine problems and \(p\)-adic period mappings ⋮ Orbit closures and invariants ⋮ On the number of maximal soluble subgroups of a finite group ⋮ The Dynkin index and \(\mathfrak{sl}_2\)-subalgebras of simple Lie algebras ⋮ Real elements in groups of type \(F_4\) ⋮ Nilpotent orbits in good characteristic and the Kempf-Rousseau theory
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