All Books Sale Books Course Books Events & News Stores Sale Books Sale Books Course Books Course Books Course Books Events & News Events & News Events & News Stores
twitter
All Books
on our tables
new releases
best sellers
Browse the Labyrinth...
African American Studies
African Studies
Anthropology & Archaeology
Architecture
Art
Asian Studies
Biography
Children's Books
Christianity
Classical Studies
Cognitive Sciences
Cultural Studies
Current Events
Design & Fashion
Eastern European Studies
Eastern Religion & Philosophy
Economics
Education
Environmental Studies
European History & Politics
Film & Media
Food & Cooking
Foreign Language
Gay & Lesbian Studies
General History & Historiography
Home, Garden & Crafts
Islamic Studies
Jewish Studies
Labor Studies
Latin Am. & Caribbean Studies
Law & Legal Studies
Linguistics & Languages
Literary Theory & Criticism
Literature
Marxist Studies
Medical & Health Studies
Middle Eastern Studies
Music & Dance
Mythology
Native American Studies
Natural History & Nature
No export
Philosophy
Photography
Political Philosophy
Political Science
Psychoanalysis
Psychology
Reference
Religion
S. Asian Studies & Oceania
Sciences
Sociology
Stationery
Technology, Computers & Engineering
Trade Fiction
Trade Non-fiction
Travel
U.S. History & Politics
Urban Studies & Geography
Women's Studies
Title Details
Theory of Lie Groups by Chevalley, Claude C.
Theory of Lie Groups
by Chevalley, Claude C.
 

This famous book was the first treatise on Lie groups in which a modern point of view was adopted systematically, namely, that a continuous group can be regarded as a global object. To develop this idea to its fullest extent, Chevalley incorporated a broad range of topics, such as the covering spaces of topological spaces, analytic manifolds, integration of complete systems of differential equations on a manifold, and the calculus of exterior differential forms.


The book opens with a short description of the classical groups: unitary groups, orthogonal groups, symplectic groups, etc. These special groups are then used to illustrate the general properties of Lie groups, which are considered later. The general notion of a Lie group is defined and correlated with the algebraic notion of a Lie algebra; the subgroups, factor groups, and homomorphisms of Lie groups are studied by making use of the Lie algebra. The last chapter is concerned with the theory of compact groups, culminating in Peter-Weyl's theorem on the existence of representations. Given a compact group, it is shown how one can construct algebraically the corresponding Lie group with complex parameters which appears in the form of a certain algebraic variety (associated algebraic group). This construction is intimately related to the proof of the generalization given by Tannaka of Pontrjagin's duality theorem for Abelian groups.


The continued importance of Lie groups in mathematics and theoretical physics make this an indispensable volume for researchers in both fields.


 
Published 19460421 by Princeton, Hardcover (Unjacketed), 232 Pages, ISBN: 9780691080529, ISBN-10: 0691080526, List Price $85.00.

Buy New - $45.98 (save $39.02)
 Add to Wish List

Other books in Mathematics
 
 
Inventory Snapshot
Warehouse --> New for $45.98
All Books Sale Books Course Books Events & News Stores All Books Sale Books Course Books All Books All Books Course Books Course Books help policies contact
All Books on our tables new releases
best sellers