论文标题
仿射谎言代数的标准模块的副基数基础
Parafermionic bases of standard modules for affine Lie algebras
论文作者
论文摘要
在本文中，我们构建了与未偏见的仿射谎言代数的矩形最高权重的标准模块相关的副空间的组合基础。我们的构造是对G. Georgiev的Aggine Lie代数$ \ widehat {\ Mathfrak sl}（n+1，\ Mathbb C）$ ----构造的parafermionic基础的修改，是主要订阅空间的Quasi-Particle基础的预测，以前在第一个Pappers a Paperers a Paperers a Paperers中获得。结果，我们证明了A. kuniba，T。Nakanishi和J. Suzuki的特征公式，用于所有非较小的无缘仿射代数。
In this paper we construct combinatorial bases of parafermionic spaces associated with the standard modules of the rectangular highest weights for the untwisted affine Lie algebras. Our construction is a modification of G. Georgiev's construction for the affine Lie algebra $\widehat{\mathfrak sl}(n+1,\mathbb C)$---the constructed parafermionic bases are projections of the quasi-particle bases of the principal subspaces, obtained previously in a series of papers by the first two authors. As a consequence we prove the character formula of A. Kuniba, T. Nakanishi and J. Suzuki for all non-simply-laced untwisted affine Lie algebras.
