Keyword

reductive groups

Description: Reductive groups are linear algebraic groups with no nontrivial connected solvable normal subgroup over an algebraic closure, studied in algebra and representation theory.

Primary topic: Advanced Algebra and Geometry (71%)

Wikidata ID: wiki/Q1006450

OpenAlex ID: keywords/reductive-groups

Linear algebraic groups

1966 · Armand Borel · Proceedings of symposia in pure mathematics · 2,122

Representations of Algebraic Groups

2007 · Jens Jantzen · Mathematical surveys and monographs · 1,483

Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups

2000 · A. Borel, N. Wallach · Mathematical surveys and monographs · 1,132

Groupes réductifs sur un corps local : I. Données radicielles valuées

1972 · François Bruhat, Jacques Tits · Publications mathématiques de l IHÉS · 1,021

Groupes réductifs

1965 · Armand Borel, Jacques Tits · Publications mathématiques de l IHÉS · 818

Representations of Reductive Groups Over Finite Fields

1976 · P. Deligne, G. Lusztig · Annals of Mathematics · 787

Geometric Invariant Theory

1965 · David Mumford · Springer eBooks · 787

Groupes réductifs sur un corps local : II. Schémas en groupes. Existence d'une donnée radicielle valuée

1984 · François Bruhat, Jacques Tits · Publications mathématiques de l IHÉS · 744

Reductive groups over local fields

1979 · J. Tits · Proceedings of symposia in pure mathematics · 592

Characters of reductive groups over a finite field

1984 · G. Lusztig · Medical Entomology and Zoology · 518

Geometric Invariant Theory

1982 · David Mumford, John Fogarty · Springer eBooks · 459

Isocrystals with additional structure. II

1997 · ROBERT E. KOTTWITZ · Compositio Mathematica · 411

PDF

Period Spaces for p-divisible Groups

1995 · Michael Rapoport, Thomas Zink · 405

On the classification of irreducible representations of real algebraic groups

1989 · R. Langlands · Mathematical surveys and monographs · 398

Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay

1974 · Melvin Hochster, Joel L Roberts · Advances in Mathematics · 385

Instability in Invariant Theory

1978 · George R. Kempf · Annals of Mathematics · 383

Correspondances de Howe sur un corps p-adique

1987 · Colette Mœglin, Marie-France Vignéras, et al. · Lecture notes in mathematics · 370

Spectral Decomposition and Eisenstein Series

1995 · C. Moeglin, J. L. Waldspurger · Cambridge University Press eBooks · 361

Intersection cohomology complexes on a reductive group

1984 · G. Lusztig · Inventiones mathematicae · 357

Characters of Reductive Groups over a Finite Field. (AM-107)

1984 · George Lusztig · Princeton University Press eBooks · 355

Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120

2016 · James Arthur, Laurent Clozel · 354

Conjugacy Classes in Algebraic Groups

1974 · Robert Steinberg · Lecture notes in mathematics · 332

Total Positivity in Reductive Groups

1994 · G. Lusztig · Birkhäuser Boston eBooks · 321

Hecke Algebras with Unequal Parameters

2003 · G. Lusztig · CRM monograph series · 320

Theory of spherical functions on reductive algebraic groups over p -adic fields

1963 · Ichiro Satake · Publications mathématiques de l IHÉS · 311

Works count: 3,612

Citation count: 50,210