Induced Representations of Quantum Groups

2001/10/24 by O. Arratia, Arratia, O., M. A. del Olmo +1
Mathematics · #17B37 (secondary) #81R50 (primary) #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:17B37 #msc:81R50

paper · pdf · doi:10.48550/arxiv.math/0110265

LaTeX 2e, 14 pages. Published in Anales de Fisica, Monografias vol. 5 (Ciemat/RSEF, Madrid 1998)

arxiv created 2001/10/24 · arxiv updated 2009/11/30

Abstract

In this paper we show how to construct explicitly induced representations for bicrossproduct Hopf algebras with abelian kernels starting from one-dimensional characters of the commutative sector. We introduce this technique by means of two concrete physical examples: two quantum deformations of the (1+1) Galilei algebra.

Related

• Elements of the theory of induced representations
• Finite Group Factorisations and Braiding
• Cross Product Quantisation, Nonabelian Cohomology And Twisting Of Hopf Algebras
• Duality properties for quantum groups
• Characters of Representations of Quantum Groups of Type A_n