Keyword

Lie groups

Description: Groups that are also smooth manifolds, with multiplication and inversion varying smoothly; they are studied in geometry and mathematics.

Primary topic: Advanced Algebra and Geometry (24%)

Wikidata ID: wiki/Q622679

OpenAlex ID: keywords/lie-groups

Foundations of Differential Geometry

1963 · Shôshichi Kobayashi, Katsumi Nomizu · UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno · 6,166

Applications of lie groups to differential equations

1990 · Olver, Peter J. 1952- · Acta Applicandae Mathematicae · 6,061

Differential Geometry, Lie Groups, and Symmetric Spaces

2001 · Sigurdur Helgason · Graduate studies in mathematics · 5,433

Applications of Lie Groups to Differential Equations

1986 · Peter J. Olver · Graduate texts in mathematics · 3,773

Applications of Lie Groups to Differential Equations

1993 · Peter J. Olver · Graduate texts in mathematics · 3,644

A Comprehensive Introduction to Differential Geometry.

1973 · Arthur D. Kramer, Michael Spivak · American Mathematical Monthly · 3,443

Symmetries and Differential Equations

1989 · George W. Bluman, Sukeyuki Kumei · Applied mathematical sciences · 3,377

Introduction to Mechanics and Symmetry

1999 · Jerrold E. Marsden, Tudor S. Ratiu · Texts in applied mathematics · 2,982

Differential Geometry and Symmetric Spaces

2001 · Sigurdur Helgason · American Mathematical Society eBooks · 2,911

Groupes et algèbres de Lie

1971 · Nicolás Bourbaki · Hermann eBooks · 2,684

Geometrical Methods in the Theory of Ordinary Differential Equations

1988 · V. I. Arnold · Grundlehren der mathematischen Wissenschaften · 2,531

Group Analysis of Differential Equations.

1985 · Willard Miller, L. V. Ovsiannikov · American Mathematical Monthly · 2,526

Differentiable Dynamical Systems

1980 · Steve Smale · Springer eBooks · 2,478

Introduction to Compact Transformation Groups

1972 · Pure and applied mathematics · 2,466

Introduction to Smooth Manifolds

2012 · John M. Lee · Graduate texts in mathematics · 2,348

Semi-Riemannian Geometry With Applications to Relativity

2011 · Barrett O’Neill · 2,220

Representation Theory: A First Course

1991 · William Fulton · 2,200

Special Functions and the Theory of Group Representations

1968 · N. Vilenkin · Translations of mathematical monographs · 2,080

Groups and Geometric Analysis

2000 · Sigurdur Helgason · Mathematical surveys and monographs · 2,043

Foundations of Differentiable Manifolds and Lie Groups

1983 · Frank W. Warner · Graduate texts in mathematics · 1,857

Integral Geometry and Geometric Probability

2004 · Luis A. Santaló, Mark Kac · Cambridge University Press eBooks · 1,794

Manifolds, Tensor Analysis, and Applications

1988 · Ralph Abraham, Jerrold E. Marsden, et al. · Applied mathematical sciences · 1,779

Lie Groups, Lie Algebras, and Their Representations

1984 · V. S. Varadarajan · Graduate texts in mathematics · 1,744

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

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

Analysis on Symmetric Cones

1994 · Jacques Faraut, Adam Korányi · 1,658

Works count: 18,050

Citation count: 335,700