Format:
1 online resource (xv, 412 pages)
ISBN:
9780521118170
,
9781107471917
,
9781139192361
Series Statement:
Cambridge studies in advanced mathematics 121
Content:
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.
Content:
Representation theory of finite groups -- The theory of Gelfand-Tsetlin bases -- The Okounkov-Vershik approach -- Symmetric functions -- Content evaluation and character theory of the symmetric group -- Radon transforms, Specht modules and the Littlewood-Richardson rule -- Finite dimensional *-algebras -- Schur-Weyl dualities and the partition algebra
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521118170
Additional Edition:
ISBN 9781107471917
Additional Edition:
Ceccherini-Silberstein, Tullio, 1966 - Representation theory of the symmetric groups Cambridge [u.a.] : Cambridge University Press, 2010 ISBN 9780521118170
Additional Edition:
ISBN 0521118174
Additional Edition:
Print version ISBN 9780521118170
Language:
English
Subjects:
Mathematics
Keywords:
Symmetrische Gruppe
;
Darstellungstheorie
DOI:
10.1017/CBO9781139192361
Author information:
Ceccherini-Silberstein, Tullio 1966-
