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arXiv · 2302.09329

Faithfulness of the 2-Braid Group via Zigzag Algebra in Type B

Edmund Heng·Kie Seng Nge
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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.

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BibTeXRIS

Edmund Heng, Kie Seng Nge. 2023-02-18. Faithfulness of the 2-Braid Group via Zigzag Algebra in Type B. https://doi.org/10.1017/s1446788723000137

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