arXiv
Open Access
2024
Algebraic isomorphisms of quantized homogeneous spaces
Robert Yuncken
Abstrak
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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R
Robert Yuncken
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- 2024
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