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math.RT2023
Asymptotic Schur algebras and cellularity of q-Schur algebras
Weideng Cui, Li Luo, Zheming Xu
We prove that the q-Schur algebras of finite type introduced in [LW22] are cellular in the sense of Graham and Lehrer, which is a generalization of Geck's theorem on the cellularit…
math.RT2021
Geometric Howe dualities of finite type
Li Luo, Zheming Xu
We develop a geometric approach toward an interplay between a pair of quantum Schur algebras of arbitrary finite type. Then by Beilinson-Lusztig-MacPherson's stabilization procedur…