Higher Braidings of Diagonal Type

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Cuntz, Michael, Ohrmann, Tobias
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211865
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Higher Braidings of Diagonal Type. Michael Cuntz and Tobias Ohrmann. SIGMA 19 (2023), 019, 23 pages

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...