English

Weyl equivalence for rank 2 Nichols algebras of diagonal type

Quantum Algebra 2016-09-07 v1

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

Keywords

Cite

@article{arxiv.math/0411621,
  title  = {Weyl equivalence for rank 2 Nichols algebras of diagonal type},
  author = {I. Heckenberger},
  journal= {arXiv preprint arXiv:math/0411621},
  year   = {2016}
}

Comments

LaTeX2e, 10 pages