Titlebook: Symmetric Functions 2001: Surveys of Developments and Perspectives; Proceedings of the N Sergey Fomin Conference proceedings 2002 Kluwer Ac

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Symmetric Functions and the Fock Space,We review the definition, calculation and properties of the canonical bases of the Fock space representation of .$$U_q (widehat{sl}_n )$$. We emphasize the close connection with the theory of symmetric functions (plethysm, Hall-Littlewood functions, Macdonald polynomials)

卷發(fā)

An Introduction to Birational Weyl Group Actions,A survey is given on a class of birational Weyl group actions which have been proposed by a series of works by Y. Yamada and the author. Examples of type . are discussed in detail. In particular, a proof for the Jacobi-Trudi formula for the τ-cocycle of type . is given in the framework of matrices

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