2013, ISBN: 364236215X

[EAN: 9783642362156], Neubuch, [PU: Springer Berlin Heidelberg Mrz 2013], DIFFERENZIALGEOMETRIE; GEOMETRIE / MATHEMATIK PHYSIK, CHEMIE; TOPOLOGIE - DIFFERENZIALTOPOLOGIE; CLIFFORDALGEBRAS… Mehr…

[EAN: 9783642362156], Neubuch, [PU: Springer Berlin Heidelberg Mrz 2013], DIFFERENZIALGEOMETRIE; GEOMETRIE / MATHEMATIK PHYSIK, CHEMIE; TOPOLOGIE - DIFFERENZIALTOPOLOGIE; CLIFFORDALGEBRAS; DIRACOPERATORS; LIEALGEBRAS; LIEGROUPS; SPINORS, This item is printed on demand - it takes 3-4 days longer - Neuware -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. 344 pp. Englisch, Books<

ISBN: 9783642362156

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 deta… Mehr…

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. Books > Science & Nature > Math & Physics > Mathematics List_Books, [PU: Springer, Berlin/Heidelberg/New York, NY]<

2013, ISBN: 364236215X

2013 Gebundene Ausgabe Differenzialgeometrie, Geometrie / Differenzialgeometrie, Mathematik / Physik, Chemie, Topologie - Differenzialtopologie, Algebra, Gruppen und Gruppentheorie, Mat… Mehr…

2013 Gebundene Ausgabe Differenzialgeometrie, Geometrie / Differenzialgeometrie, Mathematik / Physik, Chemie, Topologie - Differenzialtopologie, Algebra, Gruppen und Gruppentheorie, Mathematische Modellierung, Mathematische Physik, Cliffordalgebras; Diracoperators; Liealgebras; Liegroups; Spinors, mit Schutzumschlag 11, [PU:Springer Berlin Heidelberg; Springer Berlin]<

ISBN: 9783642362156

Clifford Algebras and Lie Theory. This book covers the basics of Clifford algebras and spinor modules, with applications to the theory of Lie groups. Topics include Petracci's proof of th… Mehr…

Clifford Algebras and Lie Theory. This book covers the basics of Clifford algebras and spinor modules, with applications to the theory of Lie groups. Topics include Petracci's proof of the Poincare-Birkhoff-Witt theorem, quantized Weil algebras, Duflo's theorem for quadratic Lie algebras and more.... Buch / Wissenschaft & Technik, Springer, Berlin<

2013, ISBN: 364236215X

2013 Gebundene Ausgabe Differenzialgeometrie, Geometrie / Differenzialgeometrie, Mathematik / Physik, Chemie, Topologie - Differenzialtopologie, Algebra, Gruppen und Gruppentheorie, Mat… Mehr…

2013 Gebundene Ausgabe Differenzialgeometrie, Geometrie / Differenzialgeometrie, Mathematik / Physik, Chemie, Topologie - Differenzialtopologie, Algebra, Gruppen und Gruppentheorie, Mathematische Physik, Cliffordalgebras; Diracoperators; Liealgebras; Liegroups; Spinors, mit Schutzumschlag 11, [PU:Springer Berlin Heidelberg; Springer Berlin]<