From the 1 of 6 linked papers with an AI index.
6 papers
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
The paper studies truncated shifted iYangians, introducing orientifold KLRW algebras and establishing diagrammatic and polynomial representations, and proves an equivalence between…
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…
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…