Representation theory of the symmetric groups
the Okounkov-Vershik approach, character formulas, and partition algebras
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Contributions
- Scarabotti, Fabio. - Contributor
- Tolli, Filippo, 1968- - Contributor
Publication
2010 - Cambridge University Press, New York, New York (State)
Language
English
Word Count
103,000 words, Guess
Page Count
412 pages
Identifiers
- Internet Archiverepresentationth00cecc
- Internet Archiverepresentationth00cecc_719
- ISBN-139780521118170
- ISBN-100521118174
- Library of Congress Control Number2009044129
and 3 more
- OCLC Control Number463454307
- Better World Books9780521118170
- Open LibraryOL23919018M
Classifications
- DDC512/.2
- LCCQA176 .C43 2010
- LCCQA176
Description
"The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. This self-contained book provides a detailed introduction to the subject, covering classical topics such as the Littlewood-Richardson rule and the Schur-Weyl duality. Importantly the authors also present many recent advances in the area, including Lassalle's character formulas, the theory of partition algebras, and an exhaustive exposition of the approach developed by A. M. Vershik and A. Okounkov. A wealth of examples and exercises makes this an ideal textbook for graduate students. It will also serve as a useful reference for more experienced researchers across a range of areas, including algebra, computer science, statistical mechanics and theoretical physics"--Provided by publisher.
Subjects
Series Statement
- Cambridge studies in advanced mathematics -- 121
Links
Other Editions
- Representation theory of the symmetric groups: the Okounkov-Vershik approach, character formulas, and partition algebras
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