Ambiskew Hopf Algebras (1112.3528v1)

Published 15 Dec 2011 in math.RA and math.QA

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.