This book is intended for a one-year graduate course on Lie groups and Lie algebras. The book goes beyond the representation theory of compact Lie groups, which is the basis of many texts, and provides a carefully chosen range of material to give the student the bigger picture. The book is organized to allow different paths through the material depending on one's interests. This second edition has substantial new material, including improved discussions of underlying principles, streamlining of some proofs, and many results and topics that were not in the first edition.

For compact Lie groups, the book covers the Peter–Weyl theorem, Lie algebra, conjugacy of maximal tori, the Weyl group, roots and weights, Weyl character formula, the fundamental group and more. The book continues with the study of complex analytic groups and general noncompact Lie groups, covering the Bruhat decomposition, Coxeter groups, flag varieties, symmetric spaces, Satake diagrams, embeddings of Lie groups and spin. Other topics that are treated are symmetric function theory, the representation theory of the symmetric group, Frobenius–Schur duality and GL(n) � GL(m) duality with many applications including some in random matrix theory, branching rules, Toeplitz determinants, combinatorics of tableaux, Gelfand pairs, Hecke algebras, the "philosophy of cusp forms" and the cohomology of Grassmannians. An appendix introduces the reader to the use of Sage mathematical software for Lie group computations.

About the Author

Daniel Bump is Professor of Mathematics at Stanford University. His research is in automorphic forms, representation theory and number theory. He is a co-author of GNU Go, a computer program that plays the game of Go. His previous books include Automorphic Forms and Representations (Cambridge University Press 1997) and Algebraic Geometry (World Scientific 1998).

"About this title" may belong to another edition of this title.

Store Description

We sell Brand New University Textbooks to students at very affordable prices. All orders are shipped by Trackable methods only and the tracking number is available within 48 hours of placing the order. We also offer free shipping to USA, Canada and Europe and lowest shipping charges in other countries. We have multiple warehouses to save on the transit time.

Visit Seller's Storefront

Seller's business information

SMASS Group LLC
1944 Loma Linda Dr, Irving, TX, 75063, U.S.A.

Sale & Shipping Terms

Terms of Sale

We sell Brand New Textbooks requied for studies in the Univesity. We have been in this business for the past 14 years and we know how to keep our customers happy and satisfies by providing them the required course material and the most affordable prices.

Shipping Terms

We ship all orders from our Multiple warehouses by Tracakble method only. We have tie up with Fedex, DHL, UPS and USPS for our logistics requirements. All tracking numbers are available within 48 hours of processing the order.

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	5 to 10 business days	3 to 6 business days
First item	US$ 0.00	US$ 0.00

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.