3 citations · 5 across the 16 of their papers we have counts for
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Relative braid group symmetries on quantum supersymmetric pairs of type sAIII
Yaolong Shen, Weinan Zhang
We introduce the relative Coxeter groupoid and construct intrinsic relative braid group symmetries for quantum supersymmetric pairs of type sAIII. These symmetries are constructed…
The disoriented skein and iquantum Brauer categories
Hadi Salmasian, Alistair Savage, Yaolong Shen
We develop a diagrammatic approach to the representation theory of the quantum symmetric pairs corresponding to orthosymplectic Lie superalgebras inside general linear Lie superalg…
Quantum supersymmetric pairs of basic types
Yaolong Shen, Weiqiang Wang
We formulate and classify super Satake diagrams under a mild assumption, building on arbitrary Dynkin diagrams for finite-dimensional basic Lie superalgebras. We develop a theory o…
Canonical bases of the oriented skein category
Yaolong Shen
We develop a bar involution and canonical basis for every morphism space of the oriented skein category through a diagrammatic approach. In particular, our construction gives rise…
Quantum supersymmetric pairs and Schur duality of type AIII
Yaolong Shen
We construct quantum supersymmetric pairs of type AIII and elucidate their fundamental properties. An Schur duality between the quant…
Canonical bases of -Brauer algebras and Schur dualities
Weideng Cui, Yaolong Shen
Expanding the classical work of Kazhdan-Lusztig, we construct a bar involution and canonical bases on the -Brauer algebra introduced by Wenzl. We define explicit actions of the…