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Differential Calculus on h-Deformed Spaces
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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Differential Calculus on h-Deformed Spaces
Інший ID:
2010 Mathematics Subject Classification: 16S30; 16S32; 16T25; 13B30; 17B10; 39A14
DOI:10.3842/SIGMA.2017.082
DOI:10.3842/SIGMA.2017.082
Посилання:
Differential Calculus on h-Deformed Spaces / B. Herlemont, O. Ogievetsky // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 22 назв. — англ.
Підтримка:
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.
Дата:
2017
Переглядів:
481
Завантажень:
262
Анотація:
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).
