Differential Calculus on h-Deformed Spaces
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Differential Calculus on h-Deformed Spaces
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| Creator |
Herlemont, B.
Ogievetsky, O. |
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| Description |
We construct the rings of generalized differential operators on the h-deformed vector space of gl-type. In contrast to the q-deformed vector space, where the ring of differential operators is unique up to an isomorphism, the general ring of h-deformed differential operators Diffh,σ(n) is labeled by a rational function σ in n variables, satisfying an over-determined system of finite-difference equations. We obtain the general solution of the system and describe some properties of the rings Diffh,σ(n).
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| Date |
2019-02-19T19:40:42Z
2019-02-19T19:40:42Z 2017 |
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| Type |
Article
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| Identifier |
Differential Calculus on h-Deformed Spaces / B. Herlemont, O. Ogievetsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 22 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 16S30; 16S32; 16T25; 13B30; 17B10; 39A14 DOI:10.3842/SIGMA.2017.082 http://dspace.nbuv.gov.ua/handle/123456789/149274 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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