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Brauer webs of finite and affine type
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.
Related
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BibTeX
@misc{shen2026brauer,
title = {{Brauer webs of finite and affine type}},
author = {Yaolong Shen and Linliang Song and Weiqiang Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.26498},
eprint = {2609.26498},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.26498},
}
RIS
TY - UNPB
TI - Brauer webs of finite and affine type
AU - Yaolong Shen
AU - Linliang Song
AU - Weiqiang Wang
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2609.26498
UR - https://arxiv.org/abs/2609.26498
AB - 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.
ER -