Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Shen, Yaolong, Song, Linliang, Wang, Weiqiang
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1609915050, G6127750546, G7270659173
OpenAlex ID: W7214073881