Elements of the theory of induced representations

Abstract

We analyze the elements characterizing the theory of induced representations of Lie groups, in order to generalize it to quantum groups. We emphasize the geometric and algebraic aspects of the theory, because they are more suitable for generalization in the framework of Hopf algebras. As an example, we present the induced representations of a quantum deformation of the extended Galilei algebra in (1+1) dimensions.

LaTeX 2e, 14 pages. Published in Publicaciones de la RSME vol. 1, (RSME, Madrid 2000)

References in corpus (2)

• Induced Representations of Quantum Groups
• Geometry of Quantum Homogeneous Vector Bundles and Representation Theory of Quantum Groups I