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math.RA2026
Prime ideals and representations of the bosonization of the super Jordan plane
Tao Lu
We study the Hopf algebra given by the bosonization of the super Jordan plane over a field of characteristic not 2. We determine its centre, classical quotient ring, prime and…
math.RA2026
On a family of liftings of the Jordan plane
Tao Lu
We study a family of Hopf algebras arising as liftings of the Jordan plane over the infinite cyclic group. We determine their centres, prime and primitive spectra, and automorphism…
math.RA2026
Prime spectrum and representations of the super Jordan plane
Tao Lu
We study the ring-theoretic structure and representation theory of the super Jordan plane over fields of characteristic different from . We prove that $\mathcal{J}…