Jun Hu

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math.RT2025

Standard symmetrizing forms and Murphy bases of the cyclotomic Hecke algebras

Jun Hu, Huansheng Li

In this paper we compute the explicit value of the standard symmetrizing form of the cyclotomic Hecke algebra of type $G (ℓ, 1, n)$ on each Murphy basis element. We do this for bot…

math.RT2024

On the maximal and minimal degree components of the cocenter of the cyclotomic KLR algebras

Jun Hu, Lei Shi

Let $R_{α}^{Λ}$ be the cyclotomic KLR algebra associated to a symmetrizable Kac-Moody Lie algebra $g$ and polynomials ${Q_{ij} (u, v)}_{i, j \in I}$ . Shan, Varagnolo…