6 papers · 1 filter
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…