Liftings of Jordan and super Jordan planes

Published 31 Dec 2015 in math.QA | (1512.09271v2)

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.

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