3 citations · 5 across the 16 of their papers we have counts for
16 papers
Brauer webs of finite and affine type
Yaolong Shen, Linliang Song, Weiqiang Wang
We introduce and develop an integral diagrammatic framework for two new monoidal categories, the finite and affine B-web categories. They arise naturally from representation catego…
A Serre-type presentation for quantum supergroups of type A
Weideng Cui, Yaolong Shen
We establish a Serre-type presentation for quantum enveloping superalgebras arising from quantum supersymmetric pairs of type A. We first prove, in arbitrary type, that eva…
Big categorification on towers of classical groups and wreath product groups
Xin Huang, Pengcheng Li, Yaolong Shen
We develop a uniform framework for ``big'' categorification of representation categories of towers of finite classical groups and wreath product groups. We construct actions of sym…
Quantized Coulomb Branches of Separated Cotangent Type and Orthosymplectic Quivers
Yaolong Shen, Changjian Su, Rui Xiong
We propose a definition of the quantized Coulomb branches of separated cotangent type, and prove that the corresponding classical construction recovers the non-cotangent Coulomb br…
On weight modules over truncated shifted iYangians
Yaolong Shen, Linliang Song, Rui Xiong
Truncated shifted iYangians are a family of algebras expected to quantize certain components of affine Grassmannian islices. We introduce orientifold KLRW (oKLRW) algebras associat…
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…
Classifying submodules over monoidal categories
Hadi Salmasian, Alistair Savage, Yaolong Shen
We study the classification of submodules of module categories over monoidal categories, extending ideas of Coulembier on the classification of tensor ideals in monoidal categories…
Quivers with Involutions and Shifted Twisted Yangians via Coulomb Branches
Yaolong Shen, Changjian Su, Rui Xiong
To a quiver with involution, we study the Coulomb branch of the 3d involution-fixed part of the quiver gauge theory. We show that there is an algebra homomorphism…
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…
Affine and cyclotomic -Schur categories via webs
Yaolong Shen, Linliang Song, Weiqiang Wang
We formulate two new -linear diagrammatic monoidal categories, the affine -web category and the affine -Schur category, as well as their respective cyclo…
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…
Quasi-parabolic Kazhdan-Lusztig bases and reflection subgroups
Zachary Carlini, Yaolong Shen
Recently, Wang and the second author constructed a bar involution and canonical basis for a quasi-permutation module of the Hecke algebra associated to a type B Weyl group , whe…
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…
Schur duality and Kazhdan-Lusztig basis expanded
Yaolong Shen, Weiqiang Wang
Expanding the classic works of Kazhdan-Lusztig and Deodhar, we establish bar involutions and canonical (i.e., quasi-parabolic KL) bases on quasi-permutation modules over the type B…