From the 1 of 7 linked papers with an AI index.
7 papers
On weight modules over truncated shifted iYangians
Yaolong Shen, Linliang Song, Rui Xiong
The paper studies truncated shifted iYangians, introducing orientifold KLRW algebras and establishing diagrammatic and polynomial representations, and proves an equivalence between…
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…
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…
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…