论文标题
D类
Lusztig data of Kashiwara-Nakashima tableaux in type D
论文作者
论文摘要
我们描述了kashiwara-nakashima tableaux晶体中的嵌入，以$ d $的形状纳入$ \ mathbf {i} $ - lusztig数据与与表达式$ \ mathbf {i} $相关的家族相关的lusztig数据，这些数据与Maximal levi subalgebra type $ $ a $ a a $ a a $ a。嵌入是根据$ a $的众所周知的组合学明确描述的。
We describe the embedding from the crystal of Kashiwara-Nakashima tableaux in type $D$ of an arbitrary shape into that of $\mathbf{i}$-Lusztig data associated to a family of reduced expressions $\mathbf{i}$ which are compatible with the maximal Levi subalgebra of type $A$. The embedding is described explicitly in terms of well-known combinatorics of type $A$ including the Schützenberger's jeu de taquin and an analog of RSK algorithm.
