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Dualities and Representations of Lie Superalgebras (Graduate Studies in Mathematics)
Shun-Jen Cheng
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Description for Dualities and Representations of Lie Superalgebras (Graduate Studies in Mathematics)
Hardcover. Series: Graduate Studies in Mathematics. Num Pages: 297 pages. BIC Classification: PBMW. Category: (P) Professional & Vocational. Dimension: 254 x 178. .
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2012
Publisher
American Mathematical Society
Number of pages
297
Condition
New
Series
Graduate Studies in Mathematics
Number of Pages
302
Place of Publication
Providence, United States
ISBN
9780821891186
SKU
V9780821891186
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
About Shun-Jen Cheng
Shun-Jen Cheng, Academia Sinica, Taipei, Taiwan Weiqiang Wang, University of Virginia, Charlottesville, VA
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