5 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…
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 quantum groups and Steinberg varieties of type C
Changjian Su, Weiqiang Wang
We provide a geometric realization of the quasi-split affine quantum group of type AIII in terms of equivariant K-groups of non-connected Steinberg varietie…
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 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…