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

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

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> 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]	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.
[4]	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.
[5]	Pan Feng . Dimension Formula and an Irreducible Basis of Brauer Algebras. Chinese Physics C, 1995, 19(8): 734-738.
[6]	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.
[7]	CHEN Feng-Zhi . SU(23) Grand Unified Model. Chinese Physics C, 1993, 17(3): 222-226.
[8]	KUANG Le-Man , ZENG Gao-Jian . Super-coherent State Representation of Lie Superalgebra B(0,1). Chinese Physics C, 1993, 17(3): 215-221.
[9]	YANG Ya-Ping , YU Zu-Rong . Irreducible Representation of Quantum Algebra SU_q(4). Chinese Physics C, 1993, 17(5): 423-430.
[10]	YU Zu-Rong . Irreducible Representations and Wigner Coefficients of Quantum Algebra SL_q(3). Chinese Physics C, 1992, 16(9): 832-839.
[11]	YU Zu-Rong . Irreducible Representations of Quantum Lie Superalgebra SL_q(2/1). Chinese Physics C, 1992, 16(11): 1035-1042.
[12]	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.
[13]	SUN Chang-Pu . ON BOSON REALIZATIONS AND INHOMOGENEOUS DIFFERENTIAL REALIZATION FOR LIE ALGEBRAS AND THEIR REPRESENTATIONS. Chinese Physics C, 1990, 14(9): 788-795.
[14]	HOU Bo-Yu , LI Wei . VIRASORO ALGEBRA FOR THE THEORY OF THE REDUCED GRAVITY. Chinese Physics C, 1987, 11(1): 137-141.
[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]	CHEN Jin-Quan , . SU(mn)SU(m)×SU(n) SINGLE-PARTICLE COEFFICIENTS OF FRACTIONAL PARENTAGE. Chinese Physics C, 1983, 7(4): 443-453.
[18]	XU De-Zhi . AN SU(4)×SU(2)×U(1) UNIFIED MODEL. Chinese Physics C, 1983, 7(1): 13-19.
[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(2023)
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).