A characterization of Kazhdan-Lusztig right cells containing smooth elements

Zhanqiang Bai, Zheng-an Chen

Let $\mathfrak{g}$ be the Lie algebra $\mathfrak{sl}(n,\mathbb{C})$. Its Weyl group is the symmetric group $S_n$. In this paper, we want to describe some Kazhdan-Lusztig right cell…