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- W2129502276 abstract "We have two constructions of the level-(0, 1) irreducible representation of the quantum toroidal algebra of type A. One is due to Nakajima and Varagnolo-Vasserot. They constructed the representation on the direct sum of the equivariant K-groups of the quiver varieties of type ˆ A. The other is due to Saito-Takemura-Uglov and Varagnolo-Vasserot. They constructed the representation on the q-deformed Fock space introduced by Kashiwara-Miwa-Stern. In this paper we give an explicit isomorphism between these two constructions. For this purpose we construct simultaneous eigenvectors on the q-Fock space using the nonsymmetric Macdonald polynomials. Then the isomorphism is given by corresponding these vectors to the torus fixed points on the q uiver varieties." @default.
- W2129502276 created "2016-06-24" @default.
- W2129502276 creator A5019906472 @default.
- W2129502276 date "2009-03-23" @default.
- W2129502276 modified "2023-10-16" @default.
- W2129502276 title "K-THEORY OF QUIVER VARIETIES, q-FOCK SPACE AND NONSYMMETRIC MACDONALD POLYNOMIALS" @default.
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- W2129502276 doi "https://doi.org/10.18910/9634" @default.
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