Rank 2 Nichols algebras with finite arithmetic root system
Quantum Algebra
2016-09-07 v1
Abstract
The concept of arithmetic root systems is introduced. It is shown that there is a one-to-one correspondence between arithmetic root systems and Nichols algebras of diagonal type having a finite set of (restricted) Poincare'-Birkhoff-Witt generators. This has strong consequences for both objects. As an application all rank 2 Nichols algebras of diagonal type having a finite set of (restricted) Poincare'-Birkhoff-Witt generators are determined. Key Words: Brandt groupoid, Hopf algebra, pseudo-reflections, Weyl group
Keywords
Cite
@article{arxiv.math/0412458,
title = {Rank 2 Nichols algebras with finite arithmetic root system},
author = {I. Heckenberger},
journal= {arXiv preprint arXiv:math/0412458},
year = {2016}
}
Comments
LaTeX2e, 21 pages