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Year 2020, Volume: 49 Issue: 2, 777 - 783, 02.04.2020
https://doi.org/10.15672/hujms.499848

Abstract

References

  • [1] A. Aghamohammadi, M. Khorrami, and A. Shariati, h-deformation as a contraction of q-deformation, J. Phys. A: Math. Gen. 28, L225-L231, 1995.
  • [2] N. Aizawa and R. Chakrabarti, Quantum Spheres for $OSP_q(1|2)$, J. Math. Phys. 46, 103510:1-25, 2005.
  • [3] S. Celik, Covariant differential calculi on quantum symplectic superspace ${\text{SP}}_q^{1|2}$, J.Math. Phys. 58, 023508:1-15, 2017.
  • [4] M. Chaichian and P.P. Kulish, Quantum group covariant systems, in From field theory to quantum groups. World Sci. Publ., River Edge, NJ, 99-111, 1996.
  • [5] L.D. Faddeev, N.Yu. Reshetikhin, and L.A. Takhtajan, Quantization of Lie groups and Lie algebras, Leningrad Math. J. 1, 193-225, 1990.
  • [6] P.P. Kulish and N.Yu Reshetikhin, Universal R-matrix of the quantum superalgebra $osp(2|1)$, Lett. Math. Phys. 18, 143-149, 1989.
  • [7] Yu I. Manin, Multiparametric quantum deformation of the general linear supergroup, Commun. Math. Phys. 123, 163-175, 1989.

Hopf algebra structure on superspace $\text{SP}_q^{2|1}$

Year 2020, Volume: 49 Issue: 2, 777 - 783, 02.04.2020
https://doi.org/10.15672/hujms.499848

Abstract

Super-Hopf algebra structure on the function algebra on the extended quantum symplectic superspace $\text{SP}_q^{2|1}$, denoted by ${\mathbb F}({\text{SP}}_q^{2|1})$, is defined. A quantum Lie superalgebra derived from ${\mathbb F}({\text{SP}}_q^{2|1})$ is explicitly obtained.

References

  • [1] A. Aghamohammadi, M. Khorrami, and A. Shariati, h-deformation as a contraction of q-deformation, J. Phys. A: Math. Gen. 28, L225-L231, 1995.
  • [2] N. Aizawa and R. Chakrabarti, Quantum Spheres for $OSP_q(1|2)$, J. Math. Phys. 46, 103510:1-25, 2005.
  • [3] S. Celik, Covariant differential calculi on quantum symplectic superspace ${\text{SP}}_q^{1|2}$, J.Math. Phys. 58, 023508:1-15, 2017.
  • [4] M. Chaichian and P.P. Kulish, Quantum group covariant systems, in From field theory to quantum groups. World Sci. Publ., River Edge, NJ, 99-111, 1996.
  • [5] L.D. Faddeev, N.Yu. Reshetikhin, and L.A. Takhtajan, Quantization of Lie groups and Lie algebras, Leningrad Math. J. 1, 193-225, 1990.
  • [6] P.P. Kulish and N.Yu Reshetikhin, Universal R-matrix of the quantum superalgebra $osp(2|1)$, Lett. Math. Phys. 18, 143-149, 1989.
  • [7] Yu I. Manin, Multiparametric quantum deformation of the general linear supergroup, Commun. Math. Phys. 123, 163-175, 1989.
There are 7 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Salih Celik 0000-0002-6590-1032

Publication Date April 2, 2020
Published in Issue Year 2020 Volume: 49 Issue: 2

Cite

APA Celik, S. (2020). Hopf algebra structure on superspace $\text{SP}_q^{2|1}$. Hacettepe Journal of Mathematics and Statistics, 49(2), 777-783. https://doi.org/10.15672/hujms.499848
AMA Celik S. Hopf algebra structure on superspace $\text{SP}_q^{2|1}$. Hacettepe Journal of Mathematics and Statistics. April 2020;49(2):777-783. doi:10.15672/hujms.499848
Chicago Celik, Salih. “Hopf Algebra Structure on Superspace $\text{SP}_q^{2|1}$”. Hacettepe Journal of Mathematics and Statistics 49, no. 2 (April 2020): 777-83. https://doi.org/10.15672/hujms.499848.
EndNote Celik S (April 1, 2020) Hopf algebra structure on superspace $\text{SP}_q^{2|1}$. Hacettepe Journal of Mathematics and Statistics 49 2 777–783.
IEEE S. Celik, “Hopf algebra structure on superspace $\text{SP}_q^{2|1}$”, Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 2, pp. 777–783, 2020, doi: 10.15672/hujms.499848.
ISNAD Celik, Salih. “Hopf Algebra Structure on Superspace $\text{SP}_q^{2|1}$”. Hacettepe Journal of Mathematics and Statistics 49/2 (April 2020), 777-783. https://doi.org/10.15672/hujms.499848.
JAMA Celik S. Hopf algebra structure on superspace $\text{SP}_q^{2|1}$. Hacettepe Journal of Mathematics and Statistics. 2020;49:777–783.
MLA Celik, Salih. “Hopf Algebra Structure on Superspace $\text{SP}_q^{2|1}$”. Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 2, 2020, pp. 777-83, doi:10.15672/hujms.499848.
Vancouver Celik S. Hopf algebra structure on superspace $\text{SP}_q^{2|1}$. Hacettepe Journal of Mathematics and Statistics. 2020;49(2):777-83.