  
  
Stat 
Members: 3658 Articles: 2'599'751 Articles rated: 2609
02 November 2024 

   

Article overview
 

Finite dimensional representations of $U_q(C(n+1))$ at arbitrary $q$  R. B. Zhang
;  Date: 
7 Jun 1993  Journal:  J.Phys. A26 (1993) 70417060  Subject:  High Energy Physics  Theory; Quantum Algebra  hepth math.QA  Abstract:  A method is developed to construct irreducible representations(irreps) of the quantum supergroup $U_q(C(n+1))$ in a systematic fashion. It is shown that every finite dimensional irrep of this quantum supergroup at generic $q$ is a deformation of a finite dimensional irrep of its underlying Lie superalgebra $C(n+1)$, and is essentially uniquely characterized by a highest weight. The character of the irrep is given. When $q$ is a root of unity, all irreps of $U_q(C(n+1))$ are finite dimensional; multiply atypical highest weight irreps and (semi)cyclic irreps also exist. As examples, all the highest weight and (semi)cyclic irreps of $U_q(C(2))$ are thoroughly studied.  Source:  arXiv, hepth/9306036  Services:  Forum  Review  PDF  Favorites 


No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.

 


