3 papers
math.RT2012
A Parametric Family of Subalgebras of the Weyl Algebra II. Irreducible Modules
Georgia Benkart, Samuel A. Lopes, Matthew Ondrus
An Ore extension over a polynomial algebra F[x] is either a quantum plane, a quantum Weyl algebra, or an infinite-dimensional unital associative algebra A_h generated by elements x…
math.RA2012
A Parametric Family of Subalgebras of the Weyl Algebra I. Structure and Automorphisms
Georgia Benkart, Samuel A. Lopes, Matthew Ondrus
An Ore extension over a polynomial algebra is either a quantum plane, a quantum Weyl algebra, or an infinite-dimensional unital associative algebra g…
math.RA2012
Classification of factorial generalized down-up algebras
Stéphane Launois, Samuel A. Lopes
We determine when a generalized down-up algebra is a Noetherian unique factorisation domain or a Noetherian unique factorisation ring.