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Representations of Quantum Bicrossproduct Algebras

O. Arratia, M. A. del Olmo

math.QAarXiv:math/0110275

Abstract

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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