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arxiv: math/0612397 · v1 · submitted 2006-12-14 · 🧮 math.QA

Quantization of orbit bundles in gl^*(n,C)

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keywords bundlesgrouporbitquantizationalgebrabialgebracomplexconstruct
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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 $gl(n)*$.

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