Über die unipotenten Klassen reduktiver Gruppen. II

DOI10.1016/0021-8693(80)90226-4zbMath0437.20034OpenAlexW4213309438MaRDI QIDQ1141235

Klaus Pommerening

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90226-4

zbMATH Keywords

nilpotent elementsgraded Lie algebrassemisimple algebraic groupsnilpotent orbitsunipotent elementsunipotent conjugacy classesquasifree elementsunipotent stabilizers

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) Semisimple Lie groups and their representations (22E46) Lie algebras of linear algebraic groups (17B45)

Related Items (26)

Products of conjugacy classes in simple algebraic groups in terms of diagrams ⋮ Unipotent classes in maximal subgroups of exceptional algebraic groups. ⋮ Centers of Centralizers in Reductive Algebraic Groups ⋮ Involutions of reductive Lie algebras in positive characteristic ⋮ Dimensions of orthosymplectic nilpotent orbits ⋮ Jordan block sizes of unipotent elements in exceptional algebraic groups ⋮ The Hesselink stratification of nullcones and base change. ⋮ A counterexample to a conjugacy conjecture of Steinberg ⋮ Nilpotent commuting varieties of reductive Lie algebras ⋮ A simple proof of Pommerening's theorem. ⋮ Varieties of modules for \(\mathbb Z/2\mathbb Z \times \mathbb Z/2\mathbb Z\) ⋮ Unipotent elements forcing irreducibility in linear algebraic groups ⋮ A Morita theorem for modular finite \(W\)-algebras ⋮ Algebraic groups ⋮ A classification of nilpotent orbits in infinitesimal symmetric spaces. ⋮ On nilpotent orbits of \(\mathrm{SL}_{n}\) and \(\mathrm{Sp}_{2n}\) over a local non-Archimedean field ⋮ Abelian unipotent subgroups of reductive groups ⋮ An Analogue of the Jacobson-Morozov Theorem for Lie Algebras of Reductive Groups of Good Characteristics ⋮ Unipotent Overgroups in Simple Algebraic Groups ⋮ Centres of centralizers of unipotent elements in simple algebraic groups ⋮ Nilpotent elements and reductive subgroups over a local field ⋮ On the lattice automorphisms of certain simple algebraic groups ⋮ On the computation of the nilpotent pieces in bad characteristic for algebraic groups of type \(G_2, F_4\), and \(E_6\) ⋮ Commuting varieties of Lie algebras over fields of prime characteristic ⋮ Component groups of unipotent centralizers in good characteristic ⋮ Nilpotent orbits in good characteristic and the Kempf-Rousseau theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Infinite root systems, representations of graphs and invariant theory
• Spinors of 13-dimensional space
• Linear Lie groups acting with finitely many orbits
• Polarizations in the classical groups
• Über die unipotenten Klassen reduktiver Gruppen
• Nilpotency in classical groups over a field of characteristic 2
• Stationary subalgebras of points of the common state for irreducible linear Lie groups
• Some Basic Theorems on Algebraic Groups
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Classes of unipotent elements in simple algebraic groups. I
• Classes of unipotent elements in simple algebraic groups. II
• Completely Reducible Lie Algebras of Linear Transformations

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