Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Differential Calculus on h-Deformed Spaces
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
| dc.contributor.author | Herlemont, B. | |
| dc.contributor.author | Ogievetsky, O. | |
| dc.date.accessioned | 2019-02-19T19:40:42Z | |
| dc.date.available | 2019-02-19T19:40:42Z | |
| dc.date.issued | 2017 | |
| dc.identifier.citation | Differential Calculus on h-Deformed Spaces / B. Herlemont, O. Ogievetsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 22 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 16S30; 16S32; 16T25; 13B30; 17B10; 39A14 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2017.082 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149274 | |
| dc.description.abstract | 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). | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue on Recent Advances in Quantum Integrable Systems. The full collection is available at http://www.emis.de/journals/SIGMA/RAQIS2016.html. The work of O.O. was supported by the Program of Competitive Growth of Kazan Federal University and by the grant RFBR 17-01-00585. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Differential Calculus on h-Deformed Spaces | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
