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arXiv · 2409.06139

Algebraic isomorphisms of quantized homogeneous spaces

Robert Yuncken
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Abstract

We describe a proof of the following folklore theorem: If $\cX = G/K$ is the homogeneous space of a simply connected compact semisimple Lie group with Poisson-Lie stabilizers, then the $q$-deformed algebras of regular functions $\CC[\cX_q]$ with $0<q\leq1$ are mutually non-isomorphic as $*$-algebras.

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Robert Yuncken. 2024-09-10. Algebraic isomorphisms of quantized homogeneous spaces. https://arxiv.org/abs/2409.06139

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