Nilpotent Orbits in Semi-Simple Lie Algebra: An Introduction Book + PRICE WATCH * Amazon pricing is not included in price watch

Nilpotent Orbits in Semi-Simple Lie Algebra: An Introduction Book

Through the 1990s, a circle of ideas emerged relating three very different kinds of objects associated to a complex semisimple Lie algebra: nilpotent orbits, representations of a Weyl group, and primitive ideals in an enveloping algebra. The principal aim of this book is to collect together the important results concerning the classification and properties of nilpotent orbits, beginning from the common ground of basic structure theory. The techniques used are elementary and in the toolkit of any graduate student interested in the harmonic analysis of representation theory of Lie groups. The book develops the Dynkin-Konstant and Bala-Carter classifications of complex nilpotent orbits, derives the Lusztig-Spaltenstein theory of induction of nilpotent orbits, discusses basic topological questions, and classifies real nilpotent orbits. The classical algebras are emphasized throughout; here the theory can be simplified by using the combinatorics of partitions and tableaux. The authors conclude with a survey of advanced topics related to the above circle of ideas. This book is the product of a two-quarter course taught at the University of Washington.Read More

from£206.18 | RRP: £127.00
* Excludes Voucher Code Discount Also available Used from £309.79
As an Amazon Associate we earn from qualifying purchases. If you click through any of the links below and make a purchase we may earn a small commission (at no extra cost to you). Click here to learn more.

Would you like your name to appear with the review?

We will post your book review within a day or so as long as it meets our guidelines and terms and conditions. All reviews submitted become the licensed property of www.find-book.co.uk as written in our terms and conditions. None of your personal details will be passed on to any other third party.

All form fields are required.