Close
Enter your search into one or more of the boxes below:
You can refine your search by selecting from any of the options below:
Search
Clifford Algebras and Lie Theory

Clifford Algebras and Lie Theory (Paperback)

£44.99
Despatched in 2 business days.
Order now for Free delivery in the UK or choose Express Delivery to receive in 2 business days.
More on delivery...

Synopsis

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. 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.

Science & MathematicsMathematicsAlgebraScience & MathematicsMathematicsApplied mathematicsMathematical modellingScience & MathematicsMathematicsGeometryDifferential & Riemannian geometryScience & MathematicsMathematicsGroups & group theoryScience & MathematicsPhysicsMathematical physics Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 17/04/2014 ISBN-13: 9783642544668  Details: Type: Paperback Format: Books
Availability: Despatched in 2 business days. Login for Quick Checkout Add to Basket

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.

More books by Eckhard Meinrenken

Leave Review

Delivery

Delivery Options

All delivery times quoted are the average, and cannot be guaranteed. These should be added to the availability message time, to determine when the goods will arrive. During checkout we will give you a cumulative estimated date for delivery.

Location 1st Book Each additional book Average Delivery Time
UK Second Class Available free for ALL orders. No charge for each additional book. 3-7 Days
UK First Class £4.50 £1.00 1-2 Days
UK Courier £7.00 £1.00 1-2 Days
Western Europe** Courier £17.00 £3.00 2-3 Days
Western Europe** Airmail £5.00 £1.50 4-14 Days
USA / Canada Courier £20.00 £3.00 2-4 Days
USA / Canada Airmail £7.00 £3.00 4-14 Days
Rest of World Courier £22.50 £3.00 3-6 Days
Rest of World Airmail £8.00 £3.00 7-21 Days

** Includes Austria, Belgium, Denmark, France, Germany, Greece, Iceland, Irish Republic, Italy, Luxembourg, Netherlands, Portugal, Spain, Sweden and Switzerland.

Delivery Help & FAQs

Returns Information

If you are not completely satisfied with your purchase*, you may return it to us in its original condition with in 30 days of receiving your delivery or collection notification email for a refund. Except for damaged items or delivery issues the cost of return postage is borne by the buyer. Your statutory rights are not affected.

* For Exclusions and terms on damaged or delivery issues see Returns Help & FAQs

You might also like

Spectral Geometry Of The Laplacian:...
(Hardback)
Hajime Urakawa
 
 
£98.00
 
Geometry and Dynamics in Gromov...
(Hardback)
Mariusz Urbanski
 
£108.00
£115.00
 
Applications of Polyfold Theory I: ...
(Paperback)
H. Hofer; K. Wysocki; E. Zehnder
 
 
£72.50
 
Differential Geometry: Connections,...
(Hardback)
Loring W. Tu
 
 
£49.99
 
Latest Blog
#FoylesFive: Picture Books for Black History Month
20/10/2017

Our Birmingham shop is celebrating Black History Month with an array of new and exciting picture books for children.

Caroline Taggart on Why Punctuation Can be Surprisingly Exciting
18/10/2017

Caroline Taggart explains the versatility of punctuation.

Under the Knife: Recreating the Grimy World of Victorian Surgery
17/10/2017

Lindsey describes how she made the trailer for her debut The Butchering Art in order to see how the sights, sounds, and smells of this gruesome period in medical history would translate onto the screen.

View all Blog Entries
Twitter
Show/Hide Tweets
© W&G Foyle Ltd