Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions

Details Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions

2000-01-20

arxiv.org/abs/math/0001114v1

Commun.Math.Phys. 220 (2001) 105-164

Mathematics

Quantum Algebra

67 pages, axodraw style file needed

Scientific paper

10.1007/s002200100443

Level-restricted paths play an important role in crystal theory. They correspond to certain highest weight vectors of modules of quantum affine algebras. We show that the recently established bijection between Littlewood--Richardson tableaux and rigged configurations is well-behaved with respect to level-restriction and give an explicit characterization of level-restricted rigged configurations. As a consequence a new general fermionic formula for the level-restricted generalized Kostka polynomial is obtained. Some coset branching functions of type $A$ are computed by taking limits of these fermionic formulas.

Affiliated with

Also associated with

No associations

Rating

Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-625524