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Liftings of Jordan and Super Jordan Planes

Published online by Cambridge University Press:  12 April 2018

Nicolás Andruskiewitsch*
Affiliation:
FaMAF-CIEM (CONICET), Universidad Nacional de Córdoba, Medina Allende s/n, Ciudad Universitaria, 5000 Córdoba, Argentina ([email protected]; [email protected])
Iván Angiono
Affiliation:
FaMAF-CIEM (CONICET), Universidad Nacional de Córdoba, Medina Allende s/n, Ciudad Universitaria, 5000 Córdoba, Argentina ([email protected]; [email protected])
István Heckenberger
Affiliation:
Philipps-Universität Marburg, Fachbereich Mathematik und Informatik, Hans-Meerwein-Strasse, D-35032 Marburg, Germany ([email protected])
*
*Corresponding author.

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.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2018 

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