Quantum Heisenberg--Weyl Algebras

Details Quantum Heisenberg--Weyl Algebras Quantum Heisenberg--Weyl Algebras

1996-10-04

arxiv.org/abs/q-alg/9610007v1

J.Phys. A30 (1997) L149-L154

Mathematics

Quantum Algebra

8 pages, LaTeX

Scientific paper

10.1088/0305-4470/30/7/001

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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