IRREDUCIBLE REPRESENTATIONS OF THE GRADED LIE ALGEBRA SU(m/n)

HAN QI-ZHI; SONG XING-CHANG; LI GEN-DAO; SUN HONG-ZHOU

Chinese Physics C> 1981, Vol. 5> Issue(5) : 546-553

IRREDUCIBLE REPRESENTATIONS OF THE GRADED LIE ALGEBRA SU(m/n)

Abstract
HTML
Reference
Related

PDF

Abstract：
Using the definition of irreducible tensor operators of the Lie group SU(n), we ive a method of calculating the irreducible representations of the graded Lie algebra U(m/n). We also give some simple examples of irreducible representations of U(3/2) and SU(m/n).

References

[1]	M. Scheunert, W. Nahm and V. Rittenberg, J. Math. Phys., 18(1977), 155;宋行长、韩其智、孙洪洲,科学通报,25(1980), 105.[2] 孙洪洲、俞允强,韩其智,广州拉子物理会议论文集,第1643页,1980年科学出版社出版.[3] 孙洪洲、韩其智,中国科学,1981年第1期,第81页.

[1]	LIU Wang-Yun , YANG Zhan-Ying , ZHAO Liu . Generalized Toda Mechanics Associated with Classical Lie Algebras D_r. Chinese Physics C, 2004, 28(4): 359-364.
[2]	HUI Ping . Seventh Order Glueball Mass of the 2+1-D SU(2)LGT in RPA. Chinese Physics C, 2004, 28(11): 1146-1149.
[3]	Liu Yaoyang , Sun Lazhen , Jiang Xiangdong . SU(3)_C×SU(2)_I×U(1)_Y Theory of Composite Leptons. Chinese Physics C, 1998, 22(11): 996-1003.
[4]	Jie Quanlin , Wang Shunjin , Wei Lianfu . Exact Solutions of Non-autonomous Quantum Systems With Semisimple Lie Algebraic Structure. Chinese Physics C, 1998, 22(2): 111-116.
[5]	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.
[6]	Pan Feng . Dimension Formula and an Irreducible Basis of Brauer Algebras. Chinese Physics C, 1995, 19(8): 734-738.
[7]	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.
[8]	HOU Bo-Yu , ZHAO Liu . On the Connections of W Algebras from Different Reductions of WZNW Theory. Chinese Physics C, 1993, 17(4): 329-337.
[9]	KUANG Le-Man , ZENG Gao-Jian . Super-coherent State Representation of Lie Superalgebra B(0,1). Chinese Physics C, 1993, 17(3): 215-221.
[10]	YANG Ya-Ping , YU Zu-Rong . Irreducible Representation of Quantum Algebra SU_q(4). Chinese Physics C, 1993, 17(5): 423-430.
[11]	YU Zu-Rong . Irreducible Representations and Wigner Coefficients of Quantum Algebra SL_q(3). Chinese Physics C, 1992, 16(9): 832-839.
[12]	YU Zu-Rong . Irreducible Representations of Quantum Lie Superalgebra SL_q(2/1). Chinese Physics C, 1992, 16(11): 1035-1042.
[13]	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.
[14]	SUN Chang-Pu . ON BOSON REALIZATIONS AND INHOMOGENEOUS DIFFERENTIAL REALIZATION FOR LIE ALGEBRAS AND THEIR REPRESENTATIONS. Chinese Physics C, 1990, 14(9): 788-795.
[15]	TU Chuan-Shi . REALIZATION OF THE EMBEDDING OF LIESUBAL GEBRA IN THE CASE OF INTERACTING BOSON MODEL. Chinese Physics C, 1987, 11(5): 634-643.
[16]	ZHANG Yue-Zhong . AXIAL VECTOR WARD IDENTITIES AND DIMENSIONAL REGULARIZATION IN RENORMALIZABLE SU(2)_L×U(1)_Y MODEL. Chinese Physics C, 1985, 9(4): 430-436.
[17]	XU De-Zhi . AN SU(4)×SU(2)×U(1) UNIFIED MODEL. Chinese Physics C, 1983, 7(1): 13-19.
[18]	CHEN Jin-Quan , . SU(mn)SU(m)×SU(n) SINGLE-PARTICLE COEFFICIENTS OF FRACTIONAL PARENTAGE. Chinese Physics C, 1983, 7(4): 443-453.
[19]	ZENG GAO-JIAN . THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OF SU₃ GROUP. Chinese Physics C, 1981, 5(1): 82-91.
[20]	DONG FANG-XIAO , DU DONG-SHENG . SU_4×SU'₃MODEL AND γ-NEW PARTICLES. Chinese Physics C, 1979, 3(6): 788-790.

Access

Get Citation

HAN QI-ZHI, SONG XING-CHANG, LI GEN-DAO and SUN HONG-ZHOU. IRREDUCIBLE REPRESENTATIONS OF THE GRADED LIE ALGEBRA SU(m/n)[J]. Chinese Physics C, 1981, 5(5): 546-553.

HAN QI-ZHI, SONG XING-CHANG, LI GEN-DAO and SUN HONG-ZHOU. IRREDUCIBLE REPRESENTATIONS OF THE GRADED LIE ALGEBRA SU(m/n)[J]. Chinese Physics C, 1981, 5(5): 546-553. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1980-06-20
Revised: 1900-01-01

Article Metric

Article Views(3192)
PDF Downloads(272)
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 THE GRADED LIE ALGEBRA SU(m/n)

Received Date: 1980-06-20
Accepted Date: 1900-01-01
Available Online: 1981-10-05

Abstract: Using the definition of irreducible tensor operators of the Lie group SU(n), we ive a method of calculating the irreducible representations of the graded Lie algebra U(m/n). We also give some simple examples of irreducible representations of U(3/2) and SU(m/n).