Towards quantized complex numbers: q-deformed Gaussian integers and the Picard group
Overview & Synopsis
This work is a first step towards a theory of "q-deformed complex numbers". Assuming the invariance of the q-deformation under the action of the modular group I prove the existence and uniqueness of the operator of translations by i compatible with this action. Obtained in such a way q-deformed Gaussian integers have interesting properties and are related to the Chebyshev polynomials.
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Document Information
| Document Title | Towards quantized complex numbers: q-deformed Gaussian integers and the Picard group |
|---|---|
| Author / Organization | Valentin Ovsienko |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2021 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-232380 |
| Original Source Link | Visit Source Page on hal.science » |