Araştırma Makalesi

A Two-parameter Deformation of Supergroup GL(1|2)

Cilt: 8 Sayı: 4 30 Aralık 2018
Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Kapak
Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi
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A Two-parameter Deformation of Supergroup GL(1|2)

Öz

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.

Anahtar Kelimeler

Kaynakça

  1. Drinfeld V G, 1986. Quantum groups, Proc. I.C.M. Berkeley, 798-820.
  2. Klimyk A and Schmüdgen K, Quantum Groups and Their Representations, Texts and Monographs in Physics, Springer, New York et al., 1997.
  3. Majid, S., Foundtions of Quantum Group Theory, Cambridge Univ. press, 1995.
  4. 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
  5. Faddeev L D, Reshetikhin N Y and Takhtajan L A, 1990. Quantization of Lie groups and Lie algebras, Leningrad Math. J. 1:193-225
  6. Kobayashi T and Uematsu T, 1992. Differential calculus on the quantum superspace and deformation of phase space, Z.Phys. C 56:193-199
  7. Berezin F A, 1987. Introduction to Algebra and Analysis with Anticommuting Variables, Reidel, Dordrecht.
  8. Kulish P P and E.K.Sklyanin E K, 1982. Solutions of the Yang-Baxter equation, J.Soviet Mathematics 19:1596-1620

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

30 Aralık 2018

Gönderilme Tarihi

3 Nisan 2018

Kabul Tarihi

16 Temmuz 2018

Yayımlandığı Sayı

Yıl 2018 Cilt: 8 Sayı: 4

DOI

https://doi.org/10.21597/jist.412142

IZ

https://izlik.org/JA75CB52NX

Kaynak Göster

RIS / Bibtex
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). Iğdır Üniv. Fen Bil Enst. Der. 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 (01 Aralık 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)”, Iğdır Üniv. Fen Bil Enst. Der., c. 8, sy 4, ss. 271–279, Ara. 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 (01 Aralık 2018): 271-279. https://doi.org/10.21597/jist.412142.
JAMA
1.Çelik SA. A Two-parameter Deformation of Supergroup GL(1|2). Iğdır Üniv. Fen Bil Enst. Der. 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, c. 8, sy 4, Aralık 2018, ss. 271-9, doi:10.21597/jist.412142.
Vancouver
1.Sultan Abacı Çelik. A Two-parameter Deformation of Supergroup GL(1|2). Iğdır Üniv. Fen Bil Enst. Der. 01 Aralık 2018;8(4):271-9. doi:10.21597/jist.412142

Cited By

Differential Calculi on Super-Hopf Algebra $$\mathsf{F}\varvec{(}{\mathbb {R}}_{\varvec{q}}\varvec{(1|2))}$$ F ( R q ( 1 | 2 ) )

Advances in Applied Clifford Algebras

https://doi.org/10.1007/s00006-018-0903-6