4 papers
Relative Dixmier property for Poisson algebras
Hongdi Huang, Zahra Nazemian, Xin Tang +3
Dixmier property concerns the bijectivity of endomorphisms for algebras. We introduce a relative Dixmier property, which is a generalization of the Dixmier property. This new conce…
Quantum-symmetric equivalence for superpotential algebras
Hongdi Huang, Van C. Nguyen, Kent B. Vashaw +2
We study superpotential algebras by introducing the notion of quantum-symmetric equivalence defined relatively to two fixed Hopf coactions. This concept relies on the non-vanishing…
On the finite generation of the cohomology of bosonizations
Nicolás Andruskiewitsch, David Jaklitsch, Van C. Nguyen +4
We use deformation sequences of (Hopf) algebras, extending the results of Negron and Pevtsova, to show that bosonizations of some suitable braided Hopf algebras by some suitable fi…
Quantum-symmetric equivalence is a graded Morita invariant
Hongdi Huang, Van C. Nguyen, Padmini Veerapen +2
We show that if two -homogeneous algebras have Morita equivalent graded module categories, then they are quantum-symmetrically equivalent, that is, there is a monoidal equivalen…