Weyl equivalence for rank 2 Nichols algebras of diagonal type

Abstract

Yetter--Drinfel'd modules of diagonal type admit an equivalence relation which conjecturally preserves dimension and Gel'fand--Kirillov dimension of the corresponding Nichols algebras. This relation is determined explicitly for all rank 2 Yetter--Drinfeld modules where the Gel'fand--Kirillov dimension is known to be finite. Key Words: Brandt groupoid, Hopf algebra, pseudo-reflections, Weyl group

LaTeX2e, 10 pages

References in corpus (2)

• The Weyl-Brandt groupoid of a Nichols algebra of diagonal type
• Finite dimensional rank 2 Nichols algebras of diagonal type I: Examples

Cited by in corpus (2)

• A classification of Nichols algebras of semi-simple Yetter-Drinfeld modules over non-abelian groups
• Rank 2 Nichols algebras with finite arithmetic root system