The isomorphism and isogeny theorems for reductive algebraic groups

DOI10.1006/jabr.1998.7776zbMath0940.20050OpenAlexW4233554599MaRDI QIDQ1293116

Robert Steinberg

Publication date: 10 May 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7776

zbMATH Keywords

classificationWeyl groupsreductive algebraic groupsisomorphism theoremroot dataroot subgroupsbig cellscorootsisogeny theorem

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Automorphisms of infinite groups (20E36) Classical groups (algebro-geometric aspects) (14L35) Other algebraic groups (geometric aspects) (14L40) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items (10)

Action of automorphisms on irreducible characters of symplectic groups ⋮ Reductive subgroup schemes of a parahoric group scheme ⋮ GENERALIZED GELFAND–GRAEV REPRESENTATIONS IN SMALL CHARACTERISTICS ⋮ The Structure of Root Data and Smooth Regular Embeddings of Reductive Groups ⋮ Zariski closures of reductive linear differential algebraic groups ⋮ Langlands duality for representations and quantum groups at a root of unity ⋮ A ratio of integration between quotients in geometric invariant theory ⋮ The classification of 2-compact groups ⋮ Lagrangian Grassmannians and spinor varieties in characteristic two ⋮ Evaluating characteristic functions of character sheaves at unipotent elements

Cites Work

• A hyperalgebraic proof of the isomorphism and isogeny theorems for reductive groups
• Induced modules and extensions of representations
• Sur certains groupes simples
• Schémas en groupes réductifs
• Endomorphisms of linear algebraic groups
• Algebraic groups and modular Lie algebras
• Linear algebraic groups.
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