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19952023
most citedSchur-Weyl duality for orthogonal groups

37 citations · 156 across the 44 of their papers we have counts for

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math.RT2022

On the cocenter of the cyclotomic Hecke algebra of type

Jun Hu, Lei Shi

In this paper, we construct some integral bases for the cocenter of the cyclotomic Hecke algebra of type by generalizing Geck and Pfeiffer's work on…

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 on the cyclotomic Hecke algebras of type , which generalize both Malle-Mathas' trace form on the non-degenerate version (w…

math.RT2022

Piecewise dominant sequences and the cocenter of the cyclotomic quiver Hecke algebras

Jun Hu, Lei Shi

We study the cocenter of the cyclotomic quiver Hecke algebra associated to an {\it arbitrary} symmetrizable Cartan matrix , and $α\in Q_n^…

math.RT2022

On the center conjecture for the cyclotomic KLR algebras

Jun Hu, Huang Lin

The center conjecture for the cyclotomic KLR algebras asserts that the center of consists of symmetric elements in its KLR and generators. In this paper…

math.RT2022

On the seminormal bases and dual seminormal bases of the cyclotomic Hecke algebras of type

Jun Hu, Shixuan Wang

This paper studies the seminormal bases and the dual seminormal bases of the non-degenerate and the degenerate…

math.RT2021★ 2 cited

Graded dimensions and monomial bases for the cyclotomic quiver Hecke superalgebras

Jun Hu, Lei Shi

In this paper we derive a closed formula for the -graded dimension of the cyclotomic quiver Hecke superalgebra associated to an {\it arbitr…