Stable Rigged Configurations for Quantum Affine Algebras of Nonexceptional Types
Quantum Algebra
2011-09-23 v2 Combinatorics
Abstract
For an affine algebra of nonexceptional type in the large rank we show the fermionic formula depends only on the attachment of the node 0 of the Dynkin diagram to the rest, and the fermionic formula of not type A can be expressed as a sum of that of type A with Littlewood-Richardson coefficients. Combining this result with math.CO/9901037 and arXiv:1002.3715 we settle the X=M conjecture under the large rank hypothesis.
Keywords
Cite
@article{arxiv.1008.0460,
title = {Stable Rigged Configurations for Quantum Affine Algebras of Nonexceptional Types},
author = {Masato Okado and Reiho Sakamoto},
journal= {arXiv preprint arXiv:1008.0460},
year = {2011}
}
Comments
30 pages, minor revision, final version