6 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…
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 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 varieties…
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…