7 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…
Decomposition matrices of cyclotomic -web categories
Linliang Song, Weiqiang Wang
We develop the cellular structures for the endomorphism algebras of cyclotomic -webs, which form a new family of quantum algebras sitting in between cyclotomic Hecke algebras an…
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…
Affine web of type Q
Linliang Song, Xingyu Wang
We introduce a new diagrammatic -linear monoidal supercategory , the affine web supercategory of type , where is a commutative ring of characteristi…
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…
Affine and cyclotomic Schur categories
Linliang Song, Weiqiang Wang
Using the affine web category introduced in a prequel as a building block, we formulate a diagrammatic -linear monoidal category, the affine Schur category, for any commutat…
Affine and cyclotomic webs
Linliang Song, Weiqiang Wang
Generalizing the polynomial web category, we introduce a diagrammatic -linear monoidal category, the affine web category, for any commutative ring . Integral bases co…