Keyword

algebraic groups

Description: Algebraic groups are groups that are also algebraic varieties, studied in algebraic geometry and group theory.

Primary topic: Advanced Algebra and Geometry (48%)

Wikidata ID: wiki/Q1695400

OpenAlex ID: keywords/algebraic-groups

Geometric Invariant Theory

1994 · David Mumford, John Fogarty, et al. · Springer eBooks · 2,568

Linear Algebraic Groups

1975 · James E. Humphreys · Graduate texts in mathematics · 2,138

Linear algebraic groups

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

Groups of polynomial growth and expanding maps (with an appendix by Jacques Tits)

1981 · Michael Gromov · Publications mathématiques de l IHÉS · 1,726

Linear Algebraic Groups

1991 · Armand Borel · Graduate texts in mathematics · 1,667

The Classical Groups

1947 · Hermann Weyl · Princeton University Press eBooks · 1,603

Elements of the Theory of Representations

1976 · Aleksandr A. Kirillov · Grundlehren der mathematischen Wissenschaften · 1,457

Lectures on Chevalley Groups

2016 · Robert Steinberg · University lecture series · 1,350

Differential Algebra and Algebraic Groups

2012 · E. R. Kolchin · 1,289

Discrete Subgroups of Semisimple Lie Groups

1991 · Gregori Aleksandrovitch Margulis · Springer eBooks · 1,193

Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups

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

Ergodic Theory and Semisimple Groups

1984 · Robert J. Zimmer · Birkhäuser Boston eBooks · 1,131

Discrete Subgroups of Lie Groups

1972 · M. S. Raghunathan · Springer eBooks · 1,092

Algebraic geometry: a first course

1993 · Choice Reviews Online · 998

Toric Varieties

2011 · David Cox, John Little, et al. · Graduate studies in mathematics · 894

Endomorphisms of linear algebraic groups

1968 · Robert Steinberg · Memoirs of the American Mathematical Society · 852

Free subgroups in linear groups

1972 · J Tits · Journal of Algebra · 849

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Groupes réductifs

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

Geometric Invariant Theory

1965 · David Mumford · Springer eBooks · 787

Algebraic groups and number theory

1992 · V P Platonov, A S Rapinchuk · Russian Mathematical Surveys · 783

Introduction to Affine Group Schemes

1979 · William C. Waterhouse · Graduate texts in mathematics · 707

Arithmetic Subgroups of Algebraic Groups

1962 · Armand Borel, Harish-Chandra · Annals of Mathematics · 696

Finite groups of Lie type

1998 · M. Geck · Cambridge University Press eBooks · 683

Seminar on Algebraic Groups and Related Finite Groups

1970 · A. Borel, R. Carter, et al. · Lecture notes in mathematics · 662

Regular elements of semi-simple algebraic groups

1965 · Robert Steinberg · Publications mathématiques de l IHÉS · 661

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Works count: 8,119

Citation count: 120,600