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arXiv · 2009.06477

The Arens-Michael envelopes of the Jordanian Plane and $U_q(\mathfrak{sl}(2))$

Dmitrii Pedchenko
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Abstract

The Arens-Michael functor in noncommutative geometry is an analogue of the analytification functor in algebraic geometry: out of the ring of "algebraic functions" on a noncommutative space it constructs the ring of "holomorphic functions" on it. In this paper, we explicitly compute the Arens-Michael envelopes of the Jordanian plane and the quantum enveloping algebra $U_q(\mathfrak{sl}(2))$ of $\mathfrak{sl}(2)$ for $|q|=1$.

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BibTeXRIS

Dmitrii Pedchenko. 2020-09-14. The Arens-Michael envelopes of the Jordanian Plane and $U_q(\mathfrak{sl}(2))$. https://arxiv.org/abs/2009.06477

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