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arXiv · 2204.05720

Higher Braidings of Diagonal Type

Michael Cuntz·Tobias Ohrmann
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Abstract

Heckenberger introduced the Weyl groupoid of a finite-dimensional Nichols algebra of diagonal type. We replace the matrix of its braiding by a higher tensor and present a construction which yields further Weyl groupoids. Abelian cohomology theory gives evidence for the existence of a higher braiding associated to such a tensor.

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Michael Cuntz, Tobias Ohrmann. 2022-04-12. Higher Braidings of Diagonal Type. https://doi.org/10.3842/sigma.2023.019

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