A bijection between Littlewood-Richardson tableaux and rigged configurations
- Author(s): Kirillov, Anatol N.;
- Schilling, Anne;
- Shimozono, Mark
- et al.
Published Web Locationhttps://arxiv.org/pdf/math/9901037.pdf
A bijection is defined from Littlewood-Richardson tableaux to rigged configurations. It is shown that this map preserves the appropriate statistics, thereby proving a quasi-particle expression for the generalized Kostka polynomials, which are q-analogues of multiplicities in tensor products of irreducible general linear group modules indexed by rectangular partitions.