Higher Braidings of Diagonal Type

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.

References in corpus (2)

• The Weyl-Brandt groupoid of a Nichols algebra of diagonal type
• Frieze patterns as root posets and affine triangulations