Stable Rigged Configurations for Quantum Affine Algebras of Nonexceptional Types

Details Stable Rigged Configurations for Quantum Affine Algebras of Nonexceptional Types Stable Rigged Configurations for Quantum Affine Algebras of Nonexceptional Types

2010-08-03

arxiv.org/abs/1008.0460v2

Advances in Mathematics 228 (2011) 1262-1293

Mathematics

Quantum Algebra

30 pages, minor revision, final version

Scientific paper

10.1016/j.aim.2011.06.012

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.

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