Dualities and Representations of Lie Superalgebras
Regular price
€97.99
Regular price
€100.99
Sale
Sale price
€97.99
A01=Shun-Jen Cheng
A01=Weiqiang Wang
Age Group_Uncategorized
Age Group_Uncategorized
Author_Shun-Jen Cheng
Author_Weiqiang Wang
automatic-update
Category1=Non-Fiction
Category=PBMW
COP=United States
Delivery_Delivery within 10-20 working days
eq_isMigrated=0
eq_isMigrated=2
eq_nobargain
Language_English
PA=Available
Price_€50 to €100
PS=Active
softlaunch
Product details
- ISBN 9780821891186
- Weight: 720g
- Publication Date: 30 Jan 2013
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Hardback
- Language: English
Secure
checkout
Fast Shipping
Easy returns
This book gives a systematic account of the structure and representation theory of finite-dimensional complex Lie superalgebras of classical type and serves as a good introduction to representation theory of Lie superalgebras. Several folklore results are rigorously proved (and occasionally corrected in detail), sometimes with new proofs. Three important dualities are presented in the book, with the unifying theme of determining irreducible characters of Lie superalgebras. In order of increasing sophistication, they are Schur duality, Howe duality, and super duality. The combinatorics of symmetric functions is developed as needed in connections to Harish-Chandra homomorphism as well as irreducible characters for Lie superalgebras. Schur-Sergeev duality for the queer Lie superalgebra is presented from scratch with complete detail. Howe duality for Lie superalgebras is presented in book form for the first time. Super duality is a new approach developed in the past few years toward understanding the Bernstein-Gelfand-Gelfand category of modules for classical Lie superalgebras. Super duality relates the representation theory of classical Lie superalgebras directly to the representation theory of classical Lie algebras and thus gives a solution to the irreducible character problem of Lie superalgebras via the Kazhdan-Lusztig polynomials of classical Lie algebras.
Shun-Jen Cheng, Academia Sinica, Taipei, Taiwan
Weiqiang Wang, University of Virginia, Charlottesville, VA
Weiqiang Wang, University of Virginia, Charlottesville, VA
