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math.RT2014
A multiparameter family of irreducible representations of the quantum plane and of the quantum Weyl algebra
Samuel A. Lopes, João N. P. Lourenço
We construct a family of irreducible representations of the quantum plane and of the quantum Weyl algebra over an arbitrary field, assuming the deformation parameter is not a root…
math.RA2014★ 1 cited
A Parametric Family of Subalgebras of the Weyl Algebra III. Derivations
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…