English

Ambiskew Hopf Algebras

Rings and Algebras 2011-12-16 v1 Quantum Algebra

Abstract

Necessary and sufficient conditions are obtained for an ambiskew polynomial algebra A over a Hopf k-algebra R to possess the structure of a Hopf algebra extending that of R, in which the added variables X+ and X- are skew primitive. The coradical filtration is calculated, many examples are described, and properties determined.

Keywords

Cite

@article{arxiv.1112.3528,
  title  = {Ambiskew Hopf Algebras},
  author = {Kenneth A. Brown and Monica Macauley},
  journal= {arXiv preprint arXiv:1112.3528},
  year   = {2011}
}

Comments

20 pages