English

Liftings of Jordan and super Jordan planes

Quantum Algebra 2016-06-13 v2

Abstract

We classify pointed Hopf algebras with finite Gelfand-Kirillov dimension whose infinitesimal braiding has dimension 2 but is not of diagonal type, or equivalently is a block. These Hopf algebras are new and turn out to be liftings of either a Jordan or a super Jordan plane over a nilpotent-by-finite group.

Keywords

Cite

@article{arxiv.1512.09271,
  title  = {Liftings of Jordan and super Jordan planes},
  author = {Nicolás Andruskiewitsch and Iván Angiono and István Heckenberger},
  journal= {arXiv preprint arXiv:1512.09271},
  year   = {2016}
}

Comments

11 pages, comments are welcome