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OverviewThis book represents the fruits of the author's many years of research and teaching. The introductory chapter contains the necessary background information from algebra, topology, and geometry of real spaces. Chapter 1 presents more specialized information on associative and nonassociative algebras and on Lie groups and algebras. In Chapters 2 through 6 geometric interpretations of all simple Lie groups of classes An, Bn, Cn, and Dn as well as of finite groups of Lie type are given. In Chapters 5 and 6 geometric interpretations of quasisimple and r-quasisimple Lie groups of the same classes are included. In Chapter 7, for the first time ever, geometric interpretations of all simple and quasisimple Lie groups of exceptional classes G2, F4, E6, E7, and E8 are given. The role of exercises is played by the assertions and theorems given without a full proof, but with the indication that they can be proved analogously to already proved theorems. Full Product DetailsAuthor: B. Rosenfeld , Bill WiebePublisher: Springer Imprint: Springer Edition: 1997 ed. Volume: 393 Dimensions: Width: 15.60cm , Height: 2.30cm , Length: 23.40cm Weight: 1.690kg ISBN: 9780792343905ISBN 10: 0792343905 Pages: 398 Publication Date: 28 February 1997 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents0. Structures of Geometry.- I. Algebras and Lie Groups.- II. Affine and Projective Geometries.- III. Euclidean, Pseudo-Euclidean, Conformal and Pseudo conformal Geometries.- IV. Elliptic, Hyperbolic, Pseudoelliptic, and Pseudohyperbolic Geometries.- V. Quasielliptic, Quasihyperbolic, and Quasi-Euclidean Geometries.- VI. Symplectic and Quasisymplectic Geometries.- VII. Geometries of Exceptional Lie Groups. Metasymplectic Geometries.- References.- Index of Persons.- Index of Subjects.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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