Zhekun He

collaborators

2 papers

math.RT2022

Trace forms on the cyclotomic Hecke algebras and cocenters of the cyclotomic Schur algebras

Zhekun He, Jun Hu, Huang Lin

We define a unified trace form $τ$ on the cyclotomic Hecke algebras $H_{n, K}$ of type $A$ , which generalize both Malle-Mathas' trace form on the non-degenerate version (w…

math.RT2021

Kazhdan-Lusztig left cell preorder and dominance order

Zhekun He, Jun Hu, Yujiao Sun

Let " $\leq_{L}$ " be the Kazhdan-Lusztig left cell preorder on the symmetric group $S_{n}$ . Let $w \mapsto (P (w), Q (w))$ be the Robinson-Schensted-Knuth correspondence between $S_{n}$ and t…