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Symmetry, Integrability and Geometry: Methods and Applications, 2023, Volume 19, 019, 23 pp.
DOI: https://doi.org/10.3842/SIGMA.2023.019 (Mi sigma1914) 		 
Higher Braidings of Diagonal Type

Michael Cuntz, Tobias Ohrmann

Leibniz Universität Hannover, Institut für Algebra, Zahlentheorie und Diskrete Mathematik, Fakultät für Mathematik und Physik, Welfengarten 1, D-30167 Hannover, Germany
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DOI: https://doi.org/10.3842/SIGMA.2023.019
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.
Keywords: Nichols algebra, braiding, Weyl groupoid.
Received: May 30, 2022; in final form March 27, 2023; Published online April 6, 2023
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Document Type: Article
MSC: 17B22, 16T30, 20F55
Language: English
Citation: Michael Cuntz, Tobias Ohrmann, “Higher Braidings of Diagonal Type”, SIGMA, 19 (2023), 019, 23 pp.
Citation in format AMSBIB
\Bibitem{CunOhr23}
\by Michael~Cuntz, Tobias~Ohrmann
\paper Higher Braidings of Diagonal Type
\jour SIGMA
\yr 2023
\vol 19
\papernumber 019
\totalpages 23
\mathnet{http://mi.mathnet.ru/sigma1914}
\crossref{https://doi.org/10.3842/SIGMA.2023.019}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4571026}
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