Some closed formulas for canonical bases of Fock spaces

By Bernard Leclerc, Hyohe Miyachi. 2001

52 citations recorded by the source corpus.

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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6ccc30af7b24a37a8ba1b23bb86028677fbb9375

Citations in the corpus

• Derived equivalences and finite dimensional algebras (2006, unknown): “also [51] for earlier results in that direction) and another approach is the determination of the relevant part of the canonical/global crystal basis [31], [32], [61].”