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Some closed formulas for canonical bases of Fock spaces

Bernard Leclerc·Hyohe Miyachi
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Abstract

We give some closed formulas for certain vectors of the canonical bases of the Fock space representation of U_v(sl^_n). As a result, a combinatorial description of certain parabolic Kazhdan-Lusztig polynomials for affine type A is obtained.

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Bernard Leclerc, Hyohe Miyachi. 2001-05-11. Some closed formulas for canonical bases of Fock spaces. https://arxiv.org/abs/math/0104107

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