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FAITHFULNESS OF THE 2-BRAID GROUP VIA ZIGZAG ALGEBRA IN TYPE B
Part of:
Special aspects of infinite or finite groups
Connections with homological algebra and category theory
Published online by Cambridge University Press: 27 October 2023
Abstract
We show that a certain category of bimodules over a finite-dimensional quiver algebra known as a 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.
MSC classification
Primary:
20F36: Braid groups; Artin groups
Secondary:
20J05: Homological methods in group theory
- Type
- Research Article
- Information
- Copyright
- © The Author(s), 2023. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
Footnotes
Communicated by Oded Yacobi
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