On factorization of matrix of Kazhdan-Lusztig polynomials

Aritra Bhattacharya, Ashish Mishra, Shraddha Srivastava

Let $\mathcal{H}=\mathcal{H}(W,S)$ be the Hecke algebra of the Coxeter system $(W,S)$ over $\mathbb{Z}[q^{\pm 1}]$, where $W$ is the Weyl group of a symmetrizable Kac-Moody algebr…