Faithfulness of the 2-Braid Group via Zigzag Algebra in Type B
Representation Theory
2024-11-20 v2 Quantum Algebra
Abstract
We show that certain category of bimodules over a finite dimensional quiver algebra known as type B zigzag algebra is a quotient category of the category of type B Soergel bimodules. This leads to an alternate proof of Rouquier's conjecture on the faithfulness of the 2-braid groups for type B.
Keywords
Cite
@article{arxiv.2302.09329,
title = {Faithfulness of the 2-Braid Group via Zigzag Algebra in Type B},
author = {Edmund Heng and Kie Seng Nge},
journal= {arXiv preprint arXiv:2302.09329},
year = {2024}
}
Comments
20 pages. Split from an earlier paper following referee suggestion. Minor corrections following referee suggestion. To appear in JAustMS