Quantization of orbit bundles in $g{l}^{\ast }(n,C)$

Abstract

Let $G$ be the complex general linear group and $g$ its Lie algebra equipped with a factorizable Lie bialgebra structure; let $U_h$ be the corresponding quantum group. We construct explicit $U_h$-equivariant quantization of Poisson orbit bundles $O_{\lambda }\to O_{\mu }$ in $gl(n)\ast$.

25 pages

References in corpus (2)

• Geometry of non-commutative orbits related to Hecke symmetries
• Quantum conjugacy classes of simple matrix groups