论文标题
$ u_q（d_4^{（3）}）$和$ u_q（g_2^{（1）}）$ u_q（d_4^{（3）} {（1）} $）的Young Wall构建最高重量晶体的最高重量晶体
Young wall construction of level-1 highest weight crystals over $U_q(D_4^{(3)})$ and $U_q(G_2^{(1)})$
论文作者
论文摘要
借助路径实现和仿射能量功能，我们为$ 1的最高重量晶体$ b（λ）$在$ u_ {q}（g_ {2}^{（1）}）上提供了年轻的墙壁构造。我们的构造基于四种不同形状的彩色块，$ \ mathbf o $ -Block，$ \ Mathbf I $ -Block，$ \ Mathbf L $ -Block和$ \ Mathbf {ll} $ - 通过以三种不同的方式切割单元cube获得的。
With the help of path realization and affine energy function, we give a Young wall construction of level-1 highest weight crystals $B(λ)$ over $U_{q}(G_{2}^{(1)})$ and $U_{q}(D_{4}^{(3)})$. Our construction is based on four different shapes of colored blocks, $\mathbf O$-block, $\mathbf I$-block, $\mathbf L$-block and $\mathbf{LL}$-block, obtained by cutting the unit cube in three different ways.
