Irreducible Representation of Quantum Algebra SU<SUB>q</SUB>(4)

YANG Ya-Ping; YU Zu-Rong

Chinese Physics C> 1993, Vol. 17> Issue(5) : 423-430

Irreducible Representation of Quantum Algebra SU_q(4)

YANG Ya-Ping ^, ,
YU Zu-Rong

Department of Physics,tongji University,Shanghai 2000922 Center of Theoretical Physics,Nanjing University,Nanjing 210008

Abstract
HTML
Reference
Related

PDF

Abstract：
Irreducible representations and a recurrent formula to calculate reduced matrix elements has been obtained through a tensor-like method.Some of the reduced matrix elements are tabulated.

References

[1]

V. G. Drinfield, Proc. Intern, Congress of Mathematicians (Berkely). Vol, 1 Academic Press, New York (1986) p. 798.[2]M. Jimbo, Lett. Math. Phvs. , 10(1985),63: Lett. Math. Phvs.，11(1986),247;Commun. Math. Phys.，102(1985),537.[3]Z. R. Yu, J. Phys. A: Math. Gen.，24(1991)，L399.[4]Z. R. Yu, J. Math. Phys.，to be submitted.[5]Z. R. Yu, J. Math. Phys.，to be submitted.[6]C. P. Sun, H. C. Fu, J. Phys. A: Math. Gen.，22(1989)，L983.[7]V. Pasquier, H. Saleur, Nuclear Physics, B330(1990),523.[8]B. Y. Hou, B. Y. Hou, Z. G. Ma, Commun. Theor. Phys.，13(1990)，181

[1]	SHI Guo-Fang , DENG Hui , XIONG Hua-Hui , SHI Kang-Jie . Quantum States and Soltion Solutions on Noncommutative Orbifold R4/G. Chinese Physics C, 2004, 28(10): 1033-1039.
[2]	JIANG Jun-Qin . Squeezing Property of the States Generated by the Excitation on the SU_q(1,1) Even and Odd q-Coherent States. Chinese Physics C, 2002, 26(8): 786-790.
[3]	GUO JianYou , XU FuXin , RUAN TuNan . Description of Staggering Phenomenon of the Superdeformed Bands in SU_q(2) Symmetry. Chinese Physics C, 2000, 24(2): 181-184.
[4]	Zhao Liu . Oscillator Algebra With Reflecting Boundary and Generalized Statistics. Chinese Physics C, 1997, 21(1): 25-33.
[5]	Xie Mi , Jin Baiqi , Ma Zhongqi . L^± Operators and Quantum Enveloping Algebras. Chinese Physics C, 1996, 20(7): 617-624.
[6]	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.
[7]	Pan Feng . Dimension Formula and an Irreducible Basis of Brauer Algebras. Chinese Physics C, 1995, 19(8): 734-738.
[8]	Huang Weicheng , Ruan Dong . N=4 Supersymmetric Quantum Mechanics. Chinese Physics C, 1995, 19(9): 812-819.
[9]	Yu Zhaoxian , Liu Yehou , Li Qinglin , Liang Bifang . Study of SU(2)_q,s Coherent State by Using (q,s) Deformed Harmonic Oscillators of SU(2)_q,s Quantum Algebra. Chinese Physics C, 1995, 19(3): 258-263.
[10]	Zhou Huanqiang , He Jingsong , Guan Xiwen . Some Remarks on a Two-Parameter Quantum Algebra SU_qs(2) and a Two-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 1995, 19(5): 420-423.
[11]	Ni Zhixiang , Ma Tao . The Quantum Cosmology of 4+2D Dimensional Einstein Maxwell Theory. Chinese Physics C, 1994, 18(10): 911-918.
[12]	FU Hong-Chen , GE Mo-Lin . Cyclic Representations of Quantum (Super) Algebras At q^p=1. Chinese Physics C, 1993, 17(8): 700-709.
[13]	WU Ke , GUO Han-Ying , ZHANG Ren-Jie . Quantum Double and Quantum Double Pair——A Relation Between Quantum Algebras and Quantum Groups. Chinese Physics C, 1993, 17(3): 262-267.
[14]	YU Zu-Rong . Irreducible Representations of Quantum Lie Superalgebra SL_q(2/1). Chinese Physics C, 1992, 16(11): 1035-1042.
[15]	MENG Jie , WU Chong-Shi , ZENG Jin-Yan . SU_q(2) Analysis of Nuclear Rotational Spectra. Chinese Physics C, 1992, 16(1): 90-96.
[16]	YU Zu-Rong . The Generalized q-Coherent State Representation of the Quantum Algebra SU_q(2). Chinese Physics C, 1992, 16(5): 461-467.
[17]	YU Zu-Rong . Irreducible Representations and Wigner Coefficients of Quantum Algebra SL_q(3). Chinese Physics C, 1992, 16(9): 832-839.
[18]	HU Zhan-Ning . Central Extension of the Quantum Deformed Virasoro Algebra. Chinese Physics C, 1991, 15(10): 898-905.
[19]	WU HUI-FANG , SHEN JIAN-PING , YU YOU-WEN , ZHANG ZONG-YE . THE ENERGY SPECTRA OF _Λ⁴He AND _Λ⁴H. Chinese Physics C, 1981, 5(6): 751-753.
[20]	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.

Access

Get Citation

YANG Ya-Ping and YU Zu-Rong. Irreducible Representation of Quantum Algebra SU_q(4)[J]. Chinese Physics C, 1993, 17(5): 423-430.

YANG Ya-Ping and YU Zu-Rong. Irreducible Representation of Quantum Algebra SU_q(4)[J]. Chinese Physics C, 1993, 17(5): 423-430. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3001)
PDF Downloads(460)
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 Representation of Quantum Algebra SU_q(4)

YANG Ya-Ping ^,
YU Zu-Rong

Corresponding author: YANG Ya-Ping,

Department of Physics,tongji University,Shanghai 2000922 Center of Theoretical Physics,Nanjing University,Nanjing 210008

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-05-05

Abstract: Irreducible representations and a recurrent formula to calculate reduced matrix elements has been obtained through a tensor-like method.Some of the reduced matrix elements are tabulated.