Claude Chevalley Theory of Lie Groups (Paperback) Princeton Mathematical SeriesAnother great item from Rarewaves USA | Free delivery!
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Claude Chevalley Theory of Lie Groups (Paperback) Princeton Mathematical Series. Author: Claude Chevalley. Series: Princeton Mathematical Series. Publisher: Princeton University Press. Format: Paperback. Country/Region of Manufacture: US. ISBN-10: 0691049904. Language: English. Genre: Science Nature & Math. Further DetailsTitle: Theory of Lie Groups Condition: New ISBN-10: 0691049904 EAN: 9780691049908 Format: Paperback Author: Claude Chevalley ISBN: 9780691049908 Publisher: Princeton University Press Release Date: 01/10/2000 Description: 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. Genre: Science Nature & Math Language: English Country/Region of Manufacture: US Item Height: 229mm Item Length: 152mm Item Weight: 312g Series: Princeton Mathematical Series Release Year: 2000 Missing Information?Please contact us if any details are missing and where possible we will add the information to our listing.
