On representations of quantum groups Uq(fm(K,H))
Document Type
Article
Publication Date
10-1-2008
Abstract
We construct families of irreducible representations for a class of quantum groups Uq(fm(K,H). First, we realize these quantum groups as hyperbolic algebras. Such a realization yields natural families of irreducible weight representations for Uq(fm(K,H)). Second, we study the relationship between Uq(fm(K,H)) and Uq(fm(K)). As a result, any finite-dimensional weight representation of Uq(fm(K,H)) is proved to be completely reducible. Finally, we study the Whittaker model for the center of U q(fm(K,H)), and a classification of all irreducible Whittaker representations of Uq(fm(K,H)) is obtained. © 2008 Australian Mathematical Society.
Recommended Citation
Tang, Xin and Xu, Yunge, "On representations of quantum groups Uq(fm(K,H))" (2008). College of Health, Science, and Technology. 79.
https://digitalcommons.uncfsu.edu/college_health_science_technology/79