Braid group actions from categorical symmetric Howe duality on deformed Webster algebras
Quantum Algebra
2024-01-22 v2
Abstract
We construct a 2-representation categorifying the symmetric Howe representation of using a deformation of an algebra introduced by Webster. As a consequence, we obtain a categorical braid group action taking values in a homotopy category.
Keywords
Cite
@article{arxiv.1802.05358,
title = {Braid group actions from categorical symmetric Howe duality on deformed Webster algebras},
author = {Mikhail Khovanov and Aaron D. Lauda and Joshua Sussan and Yasuyoshi Yonezawa},
journal= {arXiv preprint arXiv:1802.05358},
year = {2024}
}
Comments
71 pages, tikz diagrams. v2 corrects typos