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arXiv · 2609.26498

Brauer webs of finite and affine type

Yaolong Shen·Linliang Song·Weiqiang Wang
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Abstract

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 categories of type BCD Lie algebras, and can be viewed as a Brauer type generalization of the affine web category which we introduced earlier. Integral bases consisting of bubbled elementary diagrams are established for the finite and affine B-webs. A simplified presentation of these categories over a field of characteristic zero is also obtained.

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Yaolong Shen, Linliang Song, Weiqiang Wang. 2026-09-22. Brauer webs of finite and affine type. https://arxiv.org/abs/2609.26498

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