论文标题
类型$ a_ {2l-1}^{（2）} $和$ d_ {l+1}^{（2）} $：矩形最高权重
Combinatorial bases of standard modules of twisted affine Lie algebras in types $A_{2l-1}^{(2)}$ and $D_{l+1}^{(2)}$: rectangular highest weights
论文作者
论文摘要
我们考虑矩形的标准模块offine lie代数的矩形最高权重$ a_ {2l-1}^{（2）} $和$ d_ {l+1}^{（2）} $。通过使用顶点代数技术，我们为标准模块及其主要子空间和偏执空间构建组合碱基。最后，我们计算相应的字符公式，并作为应用程序获得了两个新的组合身份家族。
We consider the standard modules of rectangular highest weights of affine Lie algebras in types $A_{2l-1}^{(2)}$ and $D_{l+1}^{(2)}$. By using vertex algebraic techniques we construct the combinatorial bases for standard modules and their principal subspaces and parafermionic spaces. Finally, we compute the corresponding character formulae and, as an application, we obtain two new families of combinatorial identities.
