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 espe
Lie Groups, Lie Algebras, and Some of Their ApplicationsLie Groups, Lie Algebras, and Some of Their Applications
This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields
Abstract Lie AlgebrasAbstract Lie Algebras
Solid but concise, this account of Lie algebra emphasizes the theory's simplicity and offers new approaches to major theorems. Author David J. Winter, a Profess
Lie AlgebrasLie Algebras
Definitive treatment of important subject in modern mathematics. Covers split semi-simple Lie algebras, universal enveloping algebras, classification of irreduc
Symmetry, Representations, and InvariantsSymmetry, Representations, and Invariants
Symmetry is a key ingredient in many mathematical, physical, and biological theories. Using representation theory and invariant theory to analyze the symmetries
Symmetries and LaplaciansSymmetries and Laplacians
Designed as an introduction to harmonic analysis and group representations, this book examines concepts, ideas, results, and techniques related to symmetry grou
Harmonic Analysis on Homogeneous SpacesHarmonic Analysis on Homogeneous Spaces
This book is suitable for advanced undergraduate and graduate students in mathematics with a strong background in linear algebra and advanced calculus. Early ch
Representations of GroupsRepresentations of Groups
Representations of Groups contains papers presented at the Canadian Mathematical Society Annual Seminar held in June 1994, in Banff, Alberta. The material addre
Scientific and Technical Books and Serials in PrintScientific and Technical Books and Serials in Print
Toward a Science of ConsciousnessToward a Science of Consciousness
This text originates from the second of two conferences discussing the concept of consciousness. In 15 sections, this book demonstrates the broad range of field
Operators and Representation TheoryOperators and Representation Theory
Three-part treatment covers background material on definitions, terminology, operators in Hilbert space domains of representations, operators in the enveloping
The Theory of SpinorsThe Theory of Spinors
The French mathematician Élie Cartan (1869–1951) was one of the founders of the modern theory of Lie groups, a subject of central importance in mathematics a
American Book Publishing RecordAmerican Book Publishing Record
Scientific and Technical Books in PrintScientific and Technical Books in Print
The Classification of the Finite Simple Groups, Number 3The Classification of the Finite Simple Groups, Number 3
This book offers a single source of basic facts about the structure of the finite simple groups with emphasis on a detailed description of their local subgroup
The Classical GroupsThe Classical Groups
The author discusses symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concep