Affine Yangian Action on the Fock Space

  • Ryosuke Kodera

    Kobe University, Japan
Affine Yangian Action on the Fock Space cover

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Abstract

The localized equivariant homology of the quiver variety of type can be identified with the level one Fock space by assigning a normalized torus fixed point basis to certain symmetric functions, Jack() symmetric functions introduced by Uglov. We show that this correspondence is compatible with actions of two algebras, the Yangian for and the affine Lie algebra , on both sides. Consequently we obtain affine Yangian action on the Fock space.

Cite this article

Ryosuke Kodera, Affine Yangian Action on the Fock Space. Publ. Res. Inst. Math. Sci. 55 (2019), no. 1, pp. 189–234

DOI 10.4171/PRIMS/55-1-6