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Clifford Algebras and Lie Theory (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge a)
Eckhard Meinrenken
€ 194.32
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Description for Clifford Algebras and Lie Theory (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge a)
Paperback. 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. Num Pages: 321 pages, biography. BIC Classification: PBF; PBG; PBMP; PBWH; PHU. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 18. Weight in Grams: 528.
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 Poincare-Birkhoff-Witt theorem. This is followed by discussions of Weil algebras, Chern--Weil theory, the quantum Weil algebra, and the cubic Dirac operator. ... Read more
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 Poincare-Birkhoff-Witt theorem. This is followed by discussions of Weil algebras, Chern--Weil theory, the quantum Weil algebra, and the cubic Dirac operator. ... Read more
Product Details
Publisher
Springer
Format
Paperback
Publication date
2014
Condition
New
Weight
527g
Number of Pages
321
Place of Publication
Berlin, Germany
ISBN
9783642544668
SKU
V9783642544668
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Eckhard Meinrenken
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 ... Read more
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