Induced representations of quantum kinematical algebras

Details Induced representations of quantum kinematical algebras Induced representations of quantum kinematical algebras

2000-12-22

arxiv.org/abs/math/0012227v1

Phys.Atom.Nucl.64:2105-2109,2001; Yad.Fiz.64:2195-2199,2001

Mathematics

Quantum Algebra

8 pages,LaTeX2e, to be published in the Proceedings of XXIII International Colloquium on Group-Theoretical Methods in Physics,

Scientific paper

10.1134/1.1432907

We construct the induced representations of the null-plane quantum Poincar\'e
and quantum kappa Galilei algebras in (1+1) dimensions. The induction procedure
makes use of the concept of module and is based on the existence of a pair of
Hopf algebras with a nondegenerate pairing and dual bases.

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