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Quantum Heisenberg--Weyl Algebras

Angel Ballesteros·Francisco J. Herranz·Preeti Parashar
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Abstract

All Lie bialgebra structures on the Heisenberg--Weyl algebra $[A_+,A_-]=M$ are classified and explicitly quantized. The complete list of quantum Heisenberg--Weyl algebras so obtained includes new multiparameter deformations, most of them being of the non-coboundary type.

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Angel Ballesteros, Francisco J. Herranz, Preeti Parashar. 1996-10-04. Quantum Heisenberg--Weyl Algebras. https://doi.org/10.1088/0305-4470%2F30%2F7%2F001

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