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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 ...Show synopsisThis 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.Hide synopsis
Description:Book Fair ex-library hardcover with fair dust jacket. Usual...Book Fair ex-library hardcover with fair dust jacket. Usual library markings. Hinges stressed at title page. Dust jacket and book worn at edges. 1st ed. 1st pr. 1946.
Publisher: Princeton University Press, 1965, 6th printing
Description:Hardback w/dj, dj shows shelf wear/rubbing/small tears on edges,...Hardback w/dj, dj shows shelf wear/rubbing/small tears on edges, black mark front endpaper, 213 pages, few pages show pencil notations, good condition.
Description:Very Good. Paperback. Owner name on front flyleaf, Slight wear....Very Good. Paperback. Owner name on front flyleaf, Slight wear. Princeton University Press, 1940. No underlining or markings.
Description:Fair. No dust jacket. This is a used book. Potential defects may...Fair. No dust jacket. This is a used book. Potential defects may exist (folds, creases, highlighting, writing/markings, staining, stickers and/or sticker residue, ETC. ) COAS Books, A Bookstore for Everyone. Buy with confidence-Satisfaction Guaranteed!
Description:Good. Some shelf wear, may contain highlighting/notes, may not...Good. Some shelf wear, may contain highlighting/notes, may not include cdrom or access codes.
Description:Good. Pages clean. Previous owners name on first page. ° Very...Good. Pages clean. Previous owners name on first page. ° Very Clean Copy-Over 500, 000 Internet Orders Filled.
Description:Fine. 8vo-over 7¾"-9¾" tall. First published in 1946, this book...Fine. 8vo-over 7¾"-9¾" tall. First published in 1946, this book is the fifth printing from 1962, 217 pages. "A Lie group is at the same time a group, a topolical space and a manifold: it has therefor three kinds of "structures, " which are interrelated with each other. The present volume introduces the main basic principles which govern the theory of Lie groups." FINE HARDCOVER.
Description:This book has hardback covers. Ex-library, With usual stamps and...This book has hardback covers. Ex-library, With usual stamps and markings, In fair condition, suitable as a study copy. No dust jacket., 450grams, ISBN:
