000			01751 a2200241 4500
999			_c54527 _d54527
008			210325b ||||| |||| 00| 0 eng d
020			_a9780521118170
082			_a512.2 _bCEC
100			_aCeccherini-Silberstein, Tullio
245			_aRepresentation theory of the symmetric groups: the Okounkov-Vershik approach, character formulas, and partition algebras
260			_bCambridge University Press, _c2010. _aCambridge:
300			_axv, 412 p. : ill. ; _bhb, _c24 cm.
365			_aGBP _b73.00
440			_aCambridge studies in advanced mathematics ; 121
504			_aIncludes bibliographical references (p. 402-408) and index.
520			_aThe 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.
650			_aRepresentations of groups
650			_aSymmetry groups
650			_aAlgebra
700			_aScarabotti, Fabio.
700			_aTolli, Filippo
942			_2ddc _cTD