Vinberg's \(\theta \)-groups in positive characteristic and Kostant-Weierstrass slices

DOI10.1007/s00031-009-9056-yzbMath1209.17016arXiv0712.1725OpenAlexW1972800709MaRDI QIDQ733667

Paul Levy

Publication date: 19 October 2009

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.1725

zbMATH Keywords

Lie algebrainvariant theoryadjoint representationKostant--Weierstrass section

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Lie algebras of Lie groups (22E60) Modular Lie (super)algebras (17B50)

Related Items (23)

On the Moy-Prasad filtration ⋮ Local theta correspondences between epipelagic supercuspidal representations ⋮ On the normality of the null-fiber of the moment map for \(\theta\)- and tori representations ⋮ Classifying semisimple orbits of $\theta $-groups ⋮ The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3 ⋮ SIMPLE GROUPS STABILIZING POLYNOMIALS ⋮ The slice method for \(G\)-torsors ⋮ Dimensions of orthosymplectic nilpotent orbits ⋮ Thomae's function on a Lie group ⋮ Gradings of positive rank on simple Lie algebras ⋮ Airy sheaves for reductive groups ⋮ 2-Selmer groups of even hyperelliptic curves over function fields ⋮ Generically free representations. II: Irreducible representations ⋮ A formula for certain Shalika germs of ramified unitary groups ⋮ Character sheaves for graded Lie algebras: stable gradings ⋮ On Jordan classes for Vinberg's \(\theta\)-group ⋮ Hierarchy of RG flows in 6d \((1, 0)\) orbi-instantons ⋮ KW-sections for Vinberg's \(\theta\)-groups of exceptional type ⋮ Unnamed Item ⋮ Epipelagic representations and invariant theory ⋮ $2$-Selmer groups of hyperelliptic curves with marked points ⋮ Generic stabilizers for simple algebraic groups ⋮ Average size of 2-Selmer groups of Jacobians of odd hyperelliptic curves over function fields

Cites Work

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• Involutions of reductive Lie algebras in positive characteristic
• Period, index and potential \(\text Ш\)
• Complexity of Lie algebra representations and nilpotent elements of the stabilizers of linear forms
• Reductive groups are geometrically reductive
• Instability in invariant theory
• The map \(V\to V//G\) need not be separable.
• Commuting varieties of Lie algebras over fields of prime characteristic
• On invariant theory of \(\theta\)-groups
• Algebraic groups with a commuting pair of involutions and semisimple symmetric spaces
• Orbits, invariants, and representations associated to involutions of reductive groups
• Component groups of unipotent centralizers in good characteristic
• Nilpotent orbits in good characteristic and the Kempf-Rousseau theory
• Zassenhaus varieties of general linear Lie algebras
• Block representation type of reduced enveloping algebras
• Opération de groupes réductifs dans un type de cônes presque homogènes
• Endomorphisms of linear algebraic groups
• Fixed Points and Stable Subgroups of Algebraic Group Automorphisms
• Orbits and Representations Associated with Symmetric Spaces
• The center of the universal enveloping algebra of a Lie algebra in characteristic $p$

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