2013, ISBN: 364236215X
[EAN: 9783642362156], Neubuch, [PU: Springer Berlin Heidelberg Mrz 2013], DIFFERENZIALGEOMETRIE; GEOMETRIE / MATHEMATIK PHYSIK, CHEMIE; TOPOLOGIE - DIFFERENZIALTOPOLOGIE; CLIFFORDALGEBRAS… Plus…
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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… Plus…
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2013, ISBN: 364236215X
2013 Gebundene Ausgabe Differenzialgeometrie, Geometrie / Differenzialgeometrie, Mathematik / Physik, Chemie, Topologie - Differenzialtopologie, Algebra, Gruppen und Gruppentheorie, Mat… Plus…
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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… Plus…
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2013, ISBN: 364236215X
2013 Gebundene Ausgabe Differenzialgeometrie, Geometrie / Differenzialgeometrie, Mathematik / Physik, Chemie, Topologie - Differenzialtopologie, Algebra, Gruppen und Gruppentheorie, Mat… Plus…
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2013, ISBN: 364236215X
[EAN: 9783642362156], Neubuch, [PU: Springer Berlin Heidelberg Mrz 2013], DIFFERENZIALGEOMETRIE; GEOMETRIE / MATHEMATIK PHYSIK, CHEMIE; TOPOLOGIE - DIFFERENZIALTOPOLOGIE; CLIFFORDALGEBRAS… Plus…
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… Plus…
2013
ISBN: 364236215X
2013 Gebundene Ausgabe Differenzialgeometrie, Geometrie / Differenzialgeometrie, Mathematik / Physik, Chemie, Topologie - Differenzialtopologie, Algebra, Gruppen und Gruppentheorie, Mat… Plus…
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… Plus…
2013, ISBN: 364236215X
2013 Gebundene Ausgabe Differenzialgeometrie, Geometrie / Differenzialgeometrie, Mathematik / Physik, Chemie, Topologie - Differenzialtopologie, Algebra, Gruppen und Gruppentheorie, Mat… Plus…
Données bibliographiques du meilleur livre correspondant
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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 researcher
Informations détaillées sur le livre - Clifford Algebras and Lie Theory
EAN (ISBN-13): 9783642362156
ISBN (ISBN-10): 364236215X
Version reliée
Livre de poche
Date de parution: 2013
Editeur: Springer
344 Pages
Poids: 0,678 kg
Langue: Englisch
Livre dans la base de données depuis 2008-02-28T13:10:33+01:00 (Zurich)
Page de détail modifiée en dernier sur 2023-06-26T00:20:23+02:00 (Zurich)
ISBN/EAN: 9783642362156
ISBN - Autres types d'écriture:
3-642-36215-X, 978-3-642-36215-6
Autres types d'écriture et termes associés:
Auteur du livre: eckhard
Titre du livre: surveys modern mathematics, mathematik algebra, grenzgebiete, clifford still, ergebnisse der mathematik, near algebras, survey modern algebra, clifford algebras and lie theory
Données de l'éditeur
Auteur: Eckhard Meinrenken
Titre: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics; Clifford Algebras and Lie Theory
Editeur: Springer; Springer Berlin
321 Pages
Date de parution: 2013-03-16
Berlin; Heidelberg; DE
Imprimé / Fabriqué en
Langue: Anglais
160,49 € (DE)
164,99 € (AT)
177,00 CHF (CH)
POD
XX, 321 p.
BB; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Gruppen und Gruppentheorie; Verstehen; Mathematik; Clifford algebras; Dirac operators; Lie algebras; Lie groups; Spinors; Topological Groups and Lie Groups; Associative Rings and Algebras; Mathematical Physics; Differential Geometry; Mathematical Methods in Physics; Algebra; Mathematische Physik; Differentielle und Riemannsche Geometrie; EA; BC; BC
Preface.- Conventions.- List of Symbols.- 1 Symmetric bilinear forms.- 2 Clifford algebras.- 3 The spin representation.- 4 Covariant and contravariant spinors.- 5 Enveloping algebras.- 6 Weil algebras.- 7 Quantum Weil algebras.- 8 Applications to reductive Lie algebras.- 9 D(g; k) as a geometric Dirac operator.- 10 The Hopf–Koszul–Samelson Theorem.- 11 The Clifford algebra of a reductive Lie algebra.- A Graded and filtered super spaces.- B Reductive Lie algebras.- C Background on Lie groups.- References.- Index.
Main areas of research are symplectic geometry, with applications to Lie theory and mathematical physics.
Professor at the University of Toronto since 1998.
Honors include: Fellowship of the Royal Society of Canada (since 2008), Steacie Fellowship (2007), McLean Award (2003), Andre Aisenstadt Prize (2001).
Invited speaker at the 2002 ICM in Beijing.
Convenient and up-to-date reference for background material from Clifford theory, relevant for students and researchers in mathematics and physics Included are many developments from the last 15 years, drawn in part from the author's research Largely self-contained exposition Includes supplementary material: sn.pub/extras
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