Induced representations of quantum kinematical algebras

Abstract

We construct the induced representations of the null-plane quantum Poincaré 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.

8 pages,LaTeX2e, to be published in the Proceedings of XXIII International Colloquium on Group-Theoretical Methods in Physics, Dubna (Russia), 31.07--05.08, 2000

References in corpus (4)

• q-difference intertwining operators for $U_q(sl(n))$: general setting and the case $n=3$
• Relativistic and Newtonian kappa spacetimes
• Universal $R$--matrices for non-standard (1+1) quantum groups
• The induced representayions of the $\kappa$-Poincare group. The massive case