Research Article
Year 2018,
Volume: 8 Issue: 4, 271 - 279, 30.12.2018
Abstract
A new super-Hopf algebra, denoted by , is obtained by using the standard method (the RTT-relation)
with an R-matrix which is a solution of the quantum Yang-Baxter equation.
References
- Drinfeld V G, 1986. Quantum groups, Proc. I.C.M. Berkeley, 798-820.
- Klimyk A and Schmüdgen K, Quantum Groups and Their Representations, Texts and Monographs in Physics, Springer, New York et al., 1997.
- Majid, S., Foundtions of Quantum Group Theory, Cambridge Univ. press, 1995.
- Yang C N, 1967. Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction, Phys. Rev. Lett. 19:1312-1314
- Faddeev L D, Reshetikhin N Y and Takhtajan L A, 1990. Quantization of Lie groups and Lie algebras, Leningrad Math. J. 1:193-225
- Kobayashi T and Uematsu T, 1992. Differential calculus on the quantum superspace and deformation of phase space, Z.Phys. C 56:193-199
- Berezin F A, 1987. Introduction to Algebra and Analysis with Anticommuting Variables, Reidel, Dordrecht.
- Kulish P P and E.K.Sklyanin E K, 1982. Solutions of the Yang-Baxter equation, J.Soviet Mathematics 19:1596-1620
- Celik S, 2016. Bicovariant differential calculus on the quantum superspace , J. Alg. App. 15:1650172-1-17.
- Dabrowski L, and Wang, L, 1991. Two-parameter quantum deformation of GL(1|1), Phys. Lett. B. 266:51-54
- Majid S, 1991. Examples of braided groups and braided matrices, J. Math. Phys. 32:3246-325
- Schirrmacher A, 1991. The multiparametric deformation of GL(n) and the covariant differentil calculus on the quantum vector space, Z. Phys. C 50:321-327.
Year 2018,
Volume: 8 Issue: 4, 271 - 279, 30.12.2018
Abstract
Kuantum Yang-Baxter denkleminin çözümü olan bir R-matrisi yardımıyla, standard RTT-bağıntısı
kullanılarak ile gösterilen yeni bir süper-Hopf cebiri elde edilmiştir.
References
- Drinfeld V G, 1986. Quantum groups, Proc. I.C.M. Berkeley, 798-820.
- Klimyk A and Schmüdgen K, Quantum Groups and Their Representations, Texts and Monographs in Physics, Springer, New York et al., 1997.
- Majid, S., Foundtions of Quantum Group Theory, Cambridge Univ. press, 1995.
- Yang C N, 1967. Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction, Phys. Rev. Lett. 19:1312-1314
- Faddeev L D, Reshetikhin N Y and Takhtajan L A, 1990. Quantization of Lie groups and Lie algebras, Leningrad Math. J. 1:193-225
- Kobayashi T and Uematsu T, 1992. Differential calculus on the quantum superspace and deformation of phase space, Z.Phys. C 56:193-199
- Berezin F A, 1987. Introduction to Algebra and Analysis with Anticommuting Variables, Reidel, Dordrecht.
- Kulish P P and E.K.Sklyanin E K, 1982. Solutions of the Yang-Baxter equation, J.Soviet Mathematics 19:1596-1620
- Celik S, 2016. Bicovariant differential calculus on the quantum superspace , J. Alg. App. 15:1650172-1-17.
- Dabrowski L, and Wang, L, 1991. Two-parameter quantum deformation of GL(1|1), Phys. Lett. B. 266:51-54
- Majid S, 1991. Examples of braided groups and braided matrices, J. Math. Phys. 32:3246-325
- Schirrmacher A, 1991. The multiparametric deformation of GL(n) and the covariant differentil calculus on the quantum vector space, Z. Phys. C 50:321-327.
There are 12 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Article |
| Authors | |
| Submission Date | April 3, 2018 |
| Acceptance Date | July 16, 2018 |
| Publication Date | December 30, 2018 |
| Published in Issue | Year 2018 Volume: 8 Issue: 4 |