Stable Rigged Configurations for Quantum Affine Algebras of Nonexceptional Types
classification
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typeaffinefermionicformulalargenonexceptionalrankalgebra
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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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