X=M for symmetric powers
X=M for symmetric powers
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X=M 对称幂
DOI：
10.1016/j.jalgebra.2005.04.023
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发表时间：
2004
影响因子：
0.9
通讯作者：
Mitsunobu Sato
中科院分区：
文献类型：
--
作者：
H. Nagai;Mitsunobu Sato
Hatayama等人的X=M猜想。证明了一维位形和X与所有仿射Kac-Moody代数的费米子公式M的等价性。本文证明了Kirillov-Reshetikhin晶体B1张量积的X=M猜想，它与所有非例外仿射代数的对称幂有关。
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 algebras. In this paper we prove the X=M conjecture for tensor products of Kirillov–Reshetikhin crystals B1,sassociated to symmetric powers for all nonexceptional affine algebras.