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- W4323555799 abstract "We consider the restricted Jordan plane in characteristic $2$, a finite-dimensional Nichols algebra quotient of the Jordan plane that was introduced by Cibils, Lauve and Witherspoon. We extend results from texttt{arXiv:2002.02514} on the analogous object in odd characteristic. We show that the Drinfeld double of the restricted Jordan plane fits into an exact sequence of Hopf algebras whose kernel is a normal local commutative Hopf subalgebra and the cokernel is the restricted enveloping algebra of a restricted Lie algebra $mathfrak m$ of dimension 5. We show that $mathfrak u(mathfrak m)$ is tame and compute explicitly the indecomposable modules. An infinite-dimensional Hopf algebra covering the Drinfeld double of the restricted Jordan plane is introduced. Various quantum Frobenius maps are described." @default.
- W4323555799 created "2023-03-09" @default.
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- W4323555799 date "2023-03-03" @default.
- W4323555799 modified "2023-09-23" @default.
- W4323555799 title "On the Drinfeld double of the restricted Jordan plane in characteristic $2$" @default.
- W4323555799 doi "https://doi.org/10.48550/arxiv.2303.02228" @default.
- W4323555799 hasPublicationYear "2023" @default.
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