Construct irreducible representations of quantum groups U q (f m (K))
Document Type
Article
Publication Date
9-1-2008
Abstract
In this paper, we construct families of irreducible representations for a class of quantum groups U q (f m (K)). First, we give a natural construction of irreducible weight representations for U q (f m (K)) using methods in spectral theory developed by Rosenberg. Second, we study the Whittaker model for the center of U q (f m (K)). As a result, the structure of Whittaker representations is determined, and all irreducible Whittaker representations are explicitly constructed. Finally, we prove that the annihilator of a Whittaker representation is centrally generated. © 2008 Higher Education Press and Springer-Verlag GmbH.
Recommended Citation
Tang, Xin, "Construct irreducible representations of quantum groups U q (f m (K))" (2008). College of Health, Science, and Technology. 289.
https://digitalcommons.uncfsu.edu/college_health_science_technology/289