34 citations · 224 across the 54 of their papers we have counts for
56 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…
Hopf actions on Poisson algebras
Awn Alqahtani, Jason Gaddis, Xingting Wang
We study finite-dimensional Hopf actions on Poisson algebras and explore the phenomenon of quantum rigidity in this context. Our main focus is on filtered (and especially quadratic…
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…
Regular algebras of dimension four associated to coordinate rings of rank-two quadrics
R. G. Chandler, H. Tran, P. Veerapen +1
In this paper, we classify connected graded quadratic Artin-Schelter regular (AS-regular, henceforth) algebras of global dimension four that have a Hilbert series the same as that…
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…