Higher Braidings of Diagonal Type
Quantum Algebra
2023-04-07 v2 Combinatorics
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.
Cite
@article{arxiv.2204.05720,
title = {Higher Braidings of Diagonal Type},
author = {Michael Cuntz and Tobias Ohrmann},
journal= {arXiv preprint arXiv:2204.05720},
year = {2023}
}