4 X = M for Symmetric Powers
نویسنده
چکیده
The X = M conjecture of Hatayama et al. asserts the equality between the one-dimensional configuration sum X expressed as the generating function of crystal paths with energy statistics and the fermionic formula M for all affine Kac–Moody algebra. In this paper we prove the X = M conjecture for tensor products of Kirillov–Reshetikhin crystals B1,s associated to symmetric powers for all nonexceptional affine algebras.
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