Chapter

Symmetric Functions 2001: Surveys of Developments and Perspectives

Volume 74 of the series NATO Science Series pp 153-177

Symmetric Functions and the Fock Space

  • Bernard LeclercAffiliated withUniversité de Caen

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Abstract

We review the definition, calculation and properties of the canonical bases of the Fock space representation of . We emphasize the close connection with the theory of symmetric functions (plethysm, Hall-Littlewood functions, Macdonald polynomials)

Key words

Canonical basis quantum affine algebra Littlewood-Richardson coefficient Kazhdan-Lusztig polynomial