The nil-Brauer category
Representation Theory
2025-05-29 v3 Quantum Algebra
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 -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.
Keywords
Cite
@article{arxiv.2305.03876,
title = {The nil-Brauer category},
author = {Jonathan Brundan and Weiqiang Wang and Ben Webster},
journal= {arXiv preprint arXiv:2305.03876},
year = {2025}
}
Comments
v3: this revision corrects a sign error in the formula (4.2) in the published text