Irreducible Representations of Quantum Lie Superalgebra SL<SUB>q</SUB>(2/1)

YU Zu-Rong

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2024年10月30日

Chinese Physics C> 1992, Vol. 16> Issue(11) : 1035-1042

Irreducible Representations of Quantum Lie Superalgebra SL_q(2/1)

YU Zu-Rong ^,

Department of Physics,Tongji University,Shanghai 200092

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Abstract：
In this paper,some generators of SL_q(2/1),satisfying the Serre-like relations,can be considered as 1/2 rank tensor-like operators.The reduced matrix elements of them can be calculated by a set of recurrent formula.Thus th irreducible representations of SL_q(2/1) may be completely determined.

References

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H. de Vega, Inter. J. Mod. Phys., A4, (1989), 2371.[2] M. T. Batchelor et al., J. Phys., A28, (1990), L141.[3] M. Chaichian et al., Phys. Rev. Lett, 65, (1990), 980.[4] D. Bonstsos et al., Phys. Lett., B251(1990), 477.[5] J. Meng, C. S. Wu, J. Y. Zeng, As-ITP-91-06.[6] A. Alvarez-Gaume et al., Phys. Lett., 8220 (1989), 142[7] G. Moore et al., Nacl, Phys.,B220(1989), 557.[8] M, Chaichian et al., Phys. Lett., 838(1990), 72.[9] P. Kulish et al., Lett. Moth. Phys., 18(1989), 143.[10] H. Saleur, Nucl. Phys., B336(1990), 363.[11] Zurong Yu, J. Phys., A24(1991), L399.量子代数SLq(3)的不可约表示和Wigner系数.高能物理与核物理，待发表.[12] 孙洪洲，韩其智，中国科学，7(1981)，32.[13] M, Jimbo, Lett. Math. Phys，10(1985), 63;Lett. Math. Phys,11(1986).247.[14] Bo-yu Hou,Bo-Yuan Hou, Zhong-qi Ma, Common. Theor. Phys., 13(1990), 181, 341.[15] H. Ruegg,J. Moth. Phys., 31(1990),1085.[16] M. Nomura, J. Math. Phys., 80(1989), 2397.[17] L. L. Kachurik et al., J. Phys.,A23(1990), 2717.

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YU Zu-Rong. Irreducible Representations of Quantum Lie Superalgebra SL_q(2/1)[J]. Chinese Physics C, 1992, 16(11): 1035-1042.

YU Zu-Rong. Irreducible Representations of Quantum Lie Superalgebra SL_q(2/1)[J]. Chinese Physics C, 1992, 16(11): 1035-1042. shu

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Received: 1900-01-01
Revised: 1900-01-01

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Irreducible Representations of Quantum Lie Superalgebra SL_q(2/1)

YU Zu-Rong ^,

Corresponding author: YU Zu-Rong,

Department of Physics,Tongji University,Shanghai 200092

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-11-05

Abstract: In this paper,some generators of SL_q(2/1),satisfying the Serre-like relations,can be considered as 1/2 rank tensor-like operators.The reduced matrix elements of them can be calculated by a set of recurrent formula.Thus th irreducible representations of SL_q(2/1) may be completely determined.