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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.RT2012★ 6 cited
Planar Rook Algebras and Tensor Representations of gl(1|1)
G. Benkart, D. Moon
We establish a connection between planar rook algebras and tensor representations $\VV^{\otimes k}$ of the natural two-dimensional representation $\VV$ of the general linear Lie su…