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arXiv · 1811.01864

q-Independence of the Jimbo-Drinfeld Quantization

Olof Giselsson
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Abstract

Let $\mathrm G$ be a connected semi-simple compact Lie group and for $0<q<1$, let $(\mathbb{C}[\mathrm{G]_q}],\Delta_q)$ be the Jimbo-Drinfeld $q$-deformation of $\mathrm G$. We show that the $C^*$-completions of $\mathrm{C}[\mathrm{G]_q}$ are isomorphic for all values of $q$. Moreover, these isomorphisms are equivariant with respect to the right-action of the maximal torus.

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Olof Giselsson. 2018-11-05. q-Independence of the Jimbo-Drinfeld Quantization. https://arxiv.org/abs/1811.01864

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