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math.RT2026
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…
math.RT2026
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…
math.RT2026
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…