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jordan plane

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

Liftings of Jordan and Super Jordan Planes
Part of
- Hopf algebras, quantum groups and related topics
Nicolás Andruskiewitsch, Iván Angiono, István Heckenberger
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 61 / Issue 3 / August 2018

Published online by Cambridge University Press:

12 April 2018, pp. 661-672
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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.