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A Two-parameter Deformation of Supergroup GL(1|2)
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.
Keywords
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
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Publication Date
December 30, 2018
Submission Date
April 3, 2018
Acceptance Date
July 16, 2018
Published in Issue
Year 2018 Volume: 8 Number: 4
APA
Çelik, S. A. (2018). A Two-parameter Deformation of Supergroup GL(1|2). Journal of the Institute of Science and Technology, 8(4), 271-279. https://doi.org/10.21597/jist.412142
AMA
1.Çelik SA. A Two-parameter Deformation of Supergroup GL(1|2). J. Inst. Sci. and Tech. 2018;8(4):271-279. doi:10.21597/jist.412142
Chicago
Çelik, Sultan Abacı. 2018. “A Two-Parameter Deformation of Supergroup GL(1|2)”. Journal of the Institute of Science and Technology 8 (4): 271-79. https://doi.org/10.21597/jist.412142.
EndNote
Çelik SA (December 1, 2018) A Two-parameter Deformation of Supergroup GL(1|2). Journal of the Institute of Science and Technology 8 4 271–279.
IEEE
[1]S. A. Çelik, “A Two-parameter Deformation of Supergroup GL(1|2)”, J. Inst. Sci. and Tech., vol. 8, no. 4, pp. 271–279, Dec. 2018, doi: 10.21597/jist.412142.
ISNAD
Çelik, Sultan Abacı. “A Two-Parameter Deformation of Supergroup GL(1|2)”. Journal of the Institute of Science and Technology 8/4 (December 1, 2018): 271-279. https://doi.org/10.21597/jist.412142.
JAMA
1.Çelik SA. A Two-parameter Deformation of Supergroup GL(1|2). J. Inst. Sci. and Tech. 2018;8:271–279.
MLA
Çelik, Sultan Abacı. “A Two-Parameter Deformation of Supergroup GL(1|2)”. Journal of the Institute of Science and Technology, vol. 8, no. 4, Dec. 2018, pp. 271-9, doi:10.21597/jist.412142.
Vancouver
1.Sultan Abacı Çelik. A Two-parameter Deformation of Supergroup GL(1|2). J. Inst. Sci. and Tech. 2018 Dec. 1;8(4):271-9. doi:10.21597/jist.412142