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Mathematics


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Mathematics
Lie Groups and Algebra


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Featured Titles in Mathematics - Lie Groups and Algebra
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Graduate Texts in Mathematics #94: Foundations of Differentiable Manifolds and Lie Groups
Graduate Texts in Mathematics #94: Foundations of Differentiable Manifolds and Lie Groups
by Frank Wilson Warner
Publisher Comments
Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and... (read more)

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Lie Theory: Harmonic Analysis on Symmetric Spaces, General Plancherel Theorems
Lie Theory: Harmonic Analysis on Symmetric Spaces, General Plancherel Theorems
by Jean-Philippe Anker
Publisher Comments
Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title Lie Theory, feature... (read more)

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Lie Groups for Pedestrians
Lie Groups for Pedestrians
by Harry J. Lipkin
Publisher Comments
This book shows how the well-known methods of angular momentum algebra can be extended to treat other Lie groups. Chapters cover isospin; the three-dimensional harmonic oscillator; algebras of operators that change the number of particles; permutations... (read more)

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Progress in Mathematics #230: Lie Theory: Harmonic Analysis on Symmetric Spaces-General Plancherel Theorems
Progress in Mathematics #230: Lie Theory: Harmonic Analysis on Symmetric Spaces-General Plancherel Theorems
by Jean Philippe Anker
Publisher Comments
* Presents extensive surveys by van den Ban, Schlichtkrull, and Delorme of the recent progress in deriving the Plancherel theorem on reductive symmetric spaces * Well suited for both graduate students and researchers in semisimple Lie theory and... (read more)

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Progress in Mathematics #288: Developments and Trends in Infinite-Dimensional Lie Theory
Progress in Mathematics #288: Developments and Trends in Infinite-Dimensional Lie Theory
by Karl Hermann Neeb
Publisher Comments
This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinite-dimensional Lie... (read more)

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Lie Algebras of Bounded Operators
Lie Algebras of Bounded Operators
by Daniel Beltija
Publisher Comments
There is a fruitful and fascinating interaction between infinite dimensional operator theory (particularly decomposable, scalar and spectral generalized operator theory due to C. Foias and I. Colojoara) and Lie algebra theory. The present book is the... (read more)

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Progress in Mathematics #243: Studies in Lie Theory: Dedicated to A. Joseph on His Sixtieth Birthday
Progress in Mathematics #243: Studies in Lie Theory: Dedicated to A. Joseph on His Sixtieth Birthday
by Joseph Bernstein
Publisher Comments
Contains new results on different aspects of Lie theory, including Lie superalgebras, quantum groups, crystal bases, representations of reductive groups in finite characteristic, and the geometric Langlands... (read more)

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Lie Algebras of Bounded Operators
Lie Algebras of Bounded Operators
by Daniel Beltiță
Publisher Comments
There is a fruitful and fascinating interaction between infinite dimensional operator theory (particularly decomposable, scalar and spectral generalized operator theory due to C. Foias and I. Colojoara) and Lie algebra theory. The present book is the... (read more)

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Semi-Simple Lie Algebras and Their Representations
Semi-Simple Lie Algebras and Their Representations
by Robert N Cahn
Publisher Comments
Designed to acquaint students of particle physics already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories. Subjects include simple roots and... (read more)

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Abstract Lie Algebras
Abstract Lie Algebras
by David Winter
Publisher Comments
Solid but concise, this account of Lie algebra emphasizes the theory's simplicity and offers new approaches to major theorems. It also presents a general, extensive treatment of Cartan and related Lie subalgebras over arbitrary fields. Contents... (read more)

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Stochastic Models, Information Theory, and Lie Groups, Volume 1: Classical Results and Geometric Methods (Applied and Numerical Harmonic Analysis)
Stochastic Models, Information Theory, and Lie Groups, Volume 1: Classical Results and Geometric Methods (Applied and Numerical Harmonic Analysis)
by Gregory S Chirikjian
Publisher Comments
This unique two... (read more)

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Progress in Mathematics #295: Highlights in Lie Algebraic Methods
Progress in Mathematics #295: Highlights in Lie Algebraic Methods
by Anthony Joseph
Publisher Comments
An outgrowth of a two-week summer... (read more)

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Progress in Mathematics #0123: Lie Theory and Geometry
Progress in Mathematics #0123: Lie Theory and Geometry
by Jean Brylinski
Publisher Comments
This volume, dedicated to Bertram Kostant on the occasion of his 65th birthday, is a collection of 22 invited papers by leading mathematicians working in Lie theory, geometry, algebra, and mathematical physics. Kostant's fundamental work in all these... (read more)

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Stratified Lie Groups and Potential Theory for Their Sub-Laplacians (Springer Monographs in Mathematics)
Stratified Lie Groups and Potential Theory for Their Sub-Laplacians (Springer Monographs in Mathematics)
by A Bonfiglioli
Publisher Comments
This book provides an extensive treatment of Potential Theory for sub-Laplacians on stratified Lie groups. It also provides a largely self-contained presentation of stratified Lie groups, and of their Lie algebra of left-invariant vector fields. The... (read more)

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New Developments in Lie Theory & Geometr
New Developments in Lie Theory & Geometr
by Carolyn S Gordon
Book News Annotation
This volume is a collection of 15 papers originally presented during the New Developments in Lie Theory and Geometry held in Cordoba, Argentina, in November 2007. Topics vary, but prominent themes of the representation theoretic articles are Gelfand... (read more)

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New Developments in Lie Theory & Its Applications 7TH Workshop
New Developments in Lie Theory & Its Applications 7TH Workshop
by Carina Boyallian
Publisher Comments
Nine papers focus on representation theory, harmonic analysis on Lie groups, and mathematical physics related to Lie theory. Their topics include asymptotic spherical analysis, the restriction of discrete series of semi-simple Lie groups to reductive... (read more)

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Lie Groups for Pedestrians 2ND Edition
Lie Groups for Pedestrians 2ND Edition
by Harry Lipkin
Publisher Comments
This book shows how the well-known methods of angular momentum algebra can be extended to treat other Lie groups. Chapters cover isospin; the three-dimensional harmonic oscillator; algebras of operators that change the number of particles; permutations... (read more)

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New Developments in Lie Theory and Geometry: Sixth Workshop on Lie Theory and Geometry, November 13-17, 2007: Cruz Chica, Córdoba, Argentina
New Developments in Lie Theory and Geometry: Sixth Workshop on Lie Theory and Geometry, November 13-17, 2007: Cruz Chica, Córdoba, Argentina
by Carolyn Gordon
Publisher Comments
Einstein solvmanifolds and nilsolitons by J. Lauret Algebraic sets associated to isoparametric submanifolds by C. U. Sanchez Mostow strong rigidity and nonisomorphism for outer automorphism groups of free groups and mapping class groups by L. Ji Spectral... (read more)

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Cambridge Studies in Advanced Mathematics #110: Analysis on Lie Groups: An Introduction
Cambridge Studies in Advanced Mathematics #110: Analysis on Lie Groups: An Introduction
by Jacques Faraut
Publisher Comments
This self-contained text concentrates on the perspective of analysis, assuming only elementary knowledge of linear algebra and basic differential calculus. The author describes, in detail, many interesting examples, including formulas which have not... (read more)

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Progress in Mathematics #214: Analysis of Lie Groups with Polynomial Growth
Progress in Mathematics #214: Analysis of Lie Groups with Polynomial Growth
by Nick Dungey
Publisher Comments
Analysis on Lie Groups with Polynomial Growth is the first book to present a method for examining the surprising connection between invariant differential operators and almost periodic operators on a suitable nilpotent Lie group. It deals with the theory... (read more)

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