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arXiv · 2305.03876

The nil-Brauer category

Jonathan Brundan·Weiqiang Wang·Ben Webster
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Abstract

We introduce the nil-Brauer category and prove a basis theorem for its morphism spaces. This basis theorem is an essential ingredient required to prove that nil-Brauer categorifies the split iquantum group of rank one. As this iquantum group is a basic building block for $\imath$-quantum groups of higher rank, we expect that the nil-Brauer category will play a role in future developments related to the categorification of quantum symmetric pairs.

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Jonathan Brundan, Weiqiang Wang, Ben Webster. 2023-05-05. The nil-Brauer category. https://arxiv.org/abs/2305.03876

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