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

YU Zu-Rong

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

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

Abstract
HTML
Reference
Related

PDF

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

[1]

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.

[1]	LI Jin-Hai , LU Jian-Qin . Nonlinear Analysis for the Electrostatic Analyzers With Lie Algebraic Methods. Chinese Physics C, 2005, 29(7): 695-699.
[2]	LI Jin-Hai , LU Jian-Qin . Nonlinear Analysis for the Wein Filter with Lie Algebraic Method. Chinese Physics C, 2004, 28(9): 998-1001.
[3]	ZHAO Xiu-Mei , CAO Li-Ke , YANG Tao , YUE Rui-Hong . Integrability of a Quantum Derivative Nonlinear Schrodinger Model for Spin-1/2 Particle. Chinese Physics C, 2004, 28(9): 936-940.
[4]	LI Jin-Hai , LI Chao-Long , LU Jian-Qin . Lie Algebraic Analysis for the Nonlinear Transport in Electrostatic Quadrupoles. Chinese Physics C, 2003, 27(7): 645-648.
[5]	Medina Ablikim , HUANG Wei-Cheng , . New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance. Chinese Physics C, 2002, 26(4): 338-345.
[6]	LV Jian-Qin . Nonlinear Optics of the Electrostatic Accelerator Tubes-Third Order Lie Map. Chinese Physics C, 2002, 26(4): 402-408.
[7]	WU ChongShi , LI ZhongHua . Possibility of Superdeformed K=1/2 Bands in ¹⁹³T1. Chinese Physics C, 2000, 24(12): 1142-1148.
[8]	Yu Zhaoxian , Yu Ge , Zhang Dexing , Liu Yehou . Nodvik and Holstein-Primakoff Realizations for Two-ParameterDeformed Quantum Algebra SU(1,1)_(q,s). Chinese Physics C, 1996, 20(12): 1082-1086.
[9]	YANG Ya-Ping , YU Zu-Rong . Irreducible Representation of Quantum Algebra SU_q(4). Chinese Physics C, 1993, 17(5): 423-430.
[10]	KUANG Le-Man , ZENG Gao-Jian . Super-coherent State Representation of Lie Superalgebra B(0,1). Chinese Physics C, 1993, 17(3): 215-221.
[11]	FU Hong-Chen , GE Mo-Lin . Cyclic Representations of Quantum (Super) Algebras At q^p=1. Chinese Physics C, 1993, 17(8): 700-709.
[12]	CHEN Yong-Qing . q-Oscillator Representations of the Quantum Superalgebra spl_q(2,1). Chinese Physics C, 1993, 17(7): 631-635.
[13]	YU Zu-Rong . The Generalized q-Coherent State Representation of the Quantum Algebra SU_q(2). Chinese Physics C, 1992, 16(5): 461-467.
[14]	YU Zu-Rong . Irreducible Representations and Wigner Coefficients of Quantum Algebra SL_q(3). Chinese Physics C, 1992, 16(9): 832-839.
[15]	Fu Hongchen . Inhomogeneous Differential Realization, Boson-Fermion Realization of Lie Superalgebra B(0,1) and its Representations. Chinese Physics C, 1990, 14(S1): 27-37.
[16]	FU Hong-Chen . INHOMOGENEOUS DIFFERENTIAL REALIZATION,BOSON-FERMION REALIZATION OF LIE SUPERALGEBRA B(0,1) AND ITS REPRESENTATIONS. Chinese Physics C, 1990, 14(2): 126-135.
[17]	HAN QI-ZHI , SONG XING-CHANG , LI GEN-DAO , SUN HONG-ZHOU . IRREDUCIBLE REPRESENTATIONS OF THE GRADED LIE ALGEBRA SU(m/n). Chinese Physics C, 1981, 5(5): 546-553.
[18]	Sun Hong-zhou . ON THE IRREDUCIBLE REPRESENTATIONS OF THE COMPACT SIMPLE LIE GROUPS OF RANK 2(III). Chinese Physics C, 1980, 4(3): 271-285.
[19]	Sun Hong-zhou . ON THE IRREDUCIBLE REPRESENTATIONS OF THE COMPACT SIMPLE LIE GROUPS OF RANK 2(II). Chinese Physics C, 1980, 4(2): 137-159.
[20]	Sun Hung-zhou . ON THE IRREDUCIBLE REPRESENTATIONS OF THE COMPACT SIMPLE LIE GROUPS OF RANK 2(I). Chinese Physics C, 1980, 4(1): 73-92.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2445)
PDF Downloads(399)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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.