Representations of Quantum Bicrossproduct Algebras

Details Representations of Quantum Bicrossproduct Algebras Representations of Quantum Bicrossproduct Algebras

2001-10-25

arxiv.org/abs/math/0110275v1

Mathematics

Quantum Algebra

LaTeX 2e, 35 pages

Scientific paper

10.1088/0305-4470/35/48/304

We present a method to construct induced representations of quantum algebras
having the structure of bicrossproduct. We apply this procedure to some quantum
kinematical algebras in (1+1)--dimensions with this kind of structure:
null-plane quantum Poincare algebra, non-standard quantum Galilei algebra and
quantum kappa Galilei algebra.

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