Description: Further DetailsTitle: Clifford Algebras and Lie TheoryCondition: NewFormat: PaperbackEAN: 9783642544668ISBN: 9783642544668Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KRelease Date: 05/07/2014Description: This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bilinear forms and Clifford algebras. It develops the spin groups and the spin representation, culminating in Cartan’s famous triality automorphism for the group Spin(8). The discussion of enveloping algebras includes a presentation of Petracci’s proof of the Poincaré–Birkhoff–Witt theorem. This is followed by discussions of Weil algebras, Chern--Weil theory, the quantum Weil algebra, and the cubic Dirac operator. The applications to Lie theory include Duflo’s theorem for the case of quadratic Lie algebras, multiplets of representations, and Dirac induction. The last part of the book is an account of Kostant’s structure theory of the Clifford algebra over a semisimple Lie algebra. It describes his “Clifford algebra analogue” of the Hopf–Koszul–Samelson theorem, and explains his fascinating conjecture relating the Harish-Chandra projection for Clifford algebras to the principal sl(2) subalgebra. Aside from these beautiful applications, the book will serve as a convenient and up-to-date reference for background material from Clifford theory, relevant for students and researchers in mathematics and physics. Language: EnglishCountry/Region of Manufacture: DEItem Height: 235mmItem Length: 155mmAuthor: Eckhard MeinrenkenGenre: Science Nature & MathRelease Year: 2014 Missing Information?Please contact us if any details are missing and where possible we will add the information to our listing.
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Book Title: Clifford Algebras and Lie Theory
Title: Clifford Algebras and Lie Theory
EAN: 9783642544668
ISBN: 9783642544668
Release Date: 05/07/2014
Release Year: 2014
Country/Region of Manufacture: DE
Item Height: 235mm
Genre: Science Nature & Math
Number of Pages: Xx, 321 Pages
Publication Name: Clifford Algebras and Lie Theory
Language: English
Publisher: Springer Berlin / Heidelberg
Publication Year: 2014
Subject: Group Theory, Algebra / Abstract, Algebra / General, Topology
Type: Textbook
Item Weight: 183.8 Oz
Item Length: 9.3 in
Subject Area: Mathematics
Author: Eckhard Meinrenken
Item Width: 6.1 in
Format: Trade Paperback
