Differential Calculus on h-Deformed Spaces
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...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2017 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2017
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149274 |
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| Цитувати: | Differential Calculus on h-Deformed Spaces / B. Herlemont, O. Ogievetsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 22 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149274 |
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dspace |
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irk-123456789-1492742019-02-20T01:23:41Z Differential Calculus on h-Deformed Spaces Herlemont, B. Ogievetsky, O. 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). 2017 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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). |
| format |
Article |
| author |
Herlemont, B. Ogievetsky, O. |
| spellingShingle |
Herlemont, B. Ogievetsky, O. Differential Calculus on h-Deformed Spaces Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Herlemont, B. Ogievetsky, O. |
| author_sort |
Herlemont, B. |
| title |
Differential Calculus on h-Deformed Spaces |
| title_short |
Differential Calculus on h-Deformed Spaces |
| title_full |
Differential Calculus on h-Deformed Spaces |
| title_fullStr |
Differential Calculus on h-Deformed Spaces |
| title_full_unstemmed |
Differential Calculus on h-Deformed Spaces |
| title_sort |
differential calculus on h-deformed spaces |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149274 |
| citation_txt |
Differential Calculus on h-Deformed Spaces / B. Herlemont, O. Ogievetsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 22 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT herlemontb differentialcalculusonhdeformedspaces AT ogievetskyo differentialcalculusonhdeformedspaces |
| first_indexed |
2023-05-20T17:31:27Z |
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2023-05-20T17:31:27Z |
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1796153494885892096 |