تقرير
Isomorphisms of quantum spheres
| العنوان: | Isomorphisms of quantum spheres |
|---|---|
| المؤلفون: | D'Andrea, Francesco |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, Primary: 16T20, Secondary: 20G42 |
| الوصف: | For $n\in\mathbb{N}$ and $q\in [0,1[$, the Vaksman-Soibelman quantum sphere $S^{2n+1}_q$ is described by an associative algebra $\mathcal{A}(S^{2n+1}_q)$ deforming the algebra of polynomial functions on the 2n+1 dimensional unit sphere. Its C*-enveloping algebra is known to be independent of the deformation parameter q. In contrast to what happens in the C*-algebraic setting, we show here that, for all $q,q'$ in the above range, $\mathcal{A}(S^{2n+1}_q)$ is isomorphic to $\mathcal{A}(S^{2n+1}_{q'})$ only if $q=q'$. Comment: 10 pages; no figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.17288 |
| رقم الأكسشن: | edsarx.2406.17288 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |