학술논문

Representations of quantum conjugacy classes of orthosymplectic groups
Document Type
Working Paper
Source
Subject
Mathematics - Quantum Algebra
81R50, 81R60, 17B37
Language
Abstract
Let $G$ be the complex symplectic or special orthogonal group and $\g$ its Lie algebra. With every point $x$ of the maximal torus $T\subset G$ we associate a highest weight module $M_x$ over the Drinfeld-Jimbo quantum group $U_q(\g)$ and a quantization of the conjugacy class of $x$ by operators in $\End(M_x)$. These quantizations are isomorphic for $x$ lying on the same orbit of the Weyl group, and $M_x$ support different representations of the same quantum conjugacy class.
Comment: 19 pages, no figures