Crystal structure of the set of Lakshmibai-Seshadri paths of a level-zero shape for an affine Lie algebra

Satoshi Naito, Daisuke Sagaki

Let $\lambda ={\sum }_{i\in I_0}{m}_i{\varpi }_i$, with $m_i\in {\mathbb{Z}}_{\ge 0}$ for $i\in I_0$, be a level-zero dominant integral weight for an affine Lie algebra $\mathfrak{g…