Generic stabilizers for simple algebraic groups

DOI10.1307/mmj/20217216OpenAlexW3160670671MaRDI QIDQ2083503

Skip Garibaldi, Robert M. Guralnick

Publication date: 11 October 2022

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.09486

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Geometric invariant theory (14L24)

Related Items (1)

Unipotent subgroups of stabilizers

Cites Work

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• Essential dimension of separable algebras embedding in a fixed central simple algebra
• Essential dimension of algebraic groups, including bad characteristic
• Subgroups of simple algebraic groups containing regular tori, and irreducible representations with multiplicity 1 non-zero weights
• Computational invariant theory. With two appendices by Vladimir L. Popov and an addendum by Nobert A. Campo and Vladimir L. Popov
• On irreducible subgroups of simple algebraic groups
• Vinberg's \(\theta \)-groups in positive characteristic and Kostant-Weierstrass slices
• Invariants of finite groups generated by pseudo-reflections in positive characteristic
• Die adjungierten Darstellungen der Chevalley-Gruppen
• Alternating forms and self-adjoint operators
• Some special features of Cayley algebras, and \(G_2\), in low characteristics
• Vanishing of trace forms in low characteristics. Appendix by Alexander Premet.
• A generalization of the Chevalley restriction theorem
• Some quotient surfaces are smooth
• Torsion in reductive groups
• Geometric reductivity over arbitrary base
• The finite irreducible linear groups with polynomial ring of invariants
• Gradings of positive rank on simple Lie algebras
• On base sizes for algebraic groups
• Generically free representations. II: Irreducible representations
• Generically free representations. III: Extremely bad characteristic
• Generically free representations. I: Large representations
• The slice method for \(G\)-torsors
• A survey on Albert algebras
• Schémas en groupes. II: Groupes de type multiplicatif, et structure des schémas en groupes généraux. Exposés VIII à XVIII. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3) dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint
• Principal orbit types for algebraic transformation spaces in characteristic zero
• Stationary subgroups of points of general position in the representation space of a semisimple Lie group
• Complements à l'article: Groupes reductifs
• Invariants symétriques entiers des groupes de Weyl et torsion
• Bilinear and Quadratic Forms on Rational Modules of Split Reductive Groups
• On the minimal modules for exceptional Lie algebras: Jordan blocks and stabilizers
• SIMPLE GROUPS STABILIZING POLYNOMIALS
• Irreducible almost simple subgroups of classical algebraic groups
• Algebraic Groups
• On the adjoint quotient of Chevalley groups over arbitrary base schemes
• Linear preservers and representations with a 1-dimensional ring of invariants
• Representations of Algebraic Groups
• Irreducible geometric subgroups of classical algebraic groups
• The maximal factorizations of the finite simple groups and their automorphism groups
• Representations of dimensions $(p^n\pm 1)/2$ of the symplectic group of degree $2n$ over a field of characteristic $p$
• Cohomological invariants: exceptional groups and spin groups
• The weyl modules and the irreducible representations of the symplectic group with the fundamental highest weights
• The maximal subgroups of classical algebraic groups
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Affine Coset Spaces of Reductive Algebraic Groups
• THE WEYL GROUP OF A GRADED LIE ALGEBRA
• Irreducible subgroups of algebraic groups
• Small Degree Representations of Finite Chevalley Groups in Defining Characteristic
• Pseudo-reductive Groups
• An Embedding Theorem for Reduced Albert Algebras Over Arbitrary Fields
• Spinors and essential dimension
• Algebraic groups and modular Lie algebras
• The Freudenthal-Springer-Tits Constructions Revisited
• ON THE STABILITY OF THE ACTION OF AN ALGEBRAIC GROUP ON AN ALGEBRAIC VARIETY
• The Exceptional Simple Lie Algebras F ₄ and E ₆
• On the structure of parabolic subgroups

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