Liftings of Jordan and Super Jordan Planes

Author:

Andruskiewitsch Nicolás,Angiono Iván,Heckenberger István

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On pointed Hopf algebras over nilpotent groups;Israel Journal of Mathematics;2023-06-03

2. Corrigendum: Liftings of Jordan and Super Jordan Planes;Proceedings of the Edinburgh Mathematical Society;2022-05

3. On finite GK-dimensional Nichols algebras over abelian groups;Memoirs of the American Mathematical Society;2021-05

4. Finite GK-dimensional pre-Nichols algebras of quantum linear spaces and of Cartan type;Transactions of the American Mathematical Society, Series B;2021-04-01

5. Lie–Rinehart and Hochschild cohomology for algebras of differential operators;Journal of Pure and Applied Algebra;2021-01

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