Representations of Quantum Conjugacy Classes of Orthosymplectic Groups
- Authors: Ashton T.1, Mudrov A.1
-
Affiliations:
- University of Leicester
- Issue: Vol 213, No 5 (2016)
- Pages: 637-650
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237219
- DOI: https://doi.org/10.1007/s10958-016-2728-y
- ID: 237219
Cite item
Abstract
Let G be the complex symplectic or special orthogonal group and let ɡ be its Lie algebra. With every point x of the maximal torus T ⊂ G we associate a highest weight module Mx over the Drinfeld–Jimbo quantum group Uq(ɡ) and a quantization of the conjugacy class of x by operators in End(Mx). These quantizations are isomorphic for x lying on the same orbit of the Weyl group, and Mx supports different representations of the same quantum conjugacy class. Bibliography: 25 titles.
Keywords
About the authors
T. Ashton
University of Leicester
Author for correspondence.
Email: tsa3@leicester.ac.uk
United Kingdom, Leicester
A. Mudrov
University of Leicester
Author for correspondence.
Email: am405@leicester.ac.uk
United Kingdom, Leicester