ON THE IRREDUCIBLE REPRESENTATIONS OF THE COMPACT SIMPLE LIE GROUPS OF RANK 2(III)

Sun Hong-zhou

Chinese Physics C> 1980, Vol. 4> Issue(3) : 271-285

ON THE IRREDUCIBLE REPRESENTATIONS OF THE COMPACT SIMPLE LIE GROUPS OF RANK 2(III)

Sun Hong-zhou

Peking University

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper, using the method employed in two earlier papers: "On the Irredu-cible Representations of the Compact Simple Lie Groups of Rank 2(I) and (II)",theirreducible representations of the groups B₂ and G₂ are discussed. A method for cal-culating the irreducible representations of these groups is given. Moreover,some ofthe low dimensional representations of these groups are calculated.

References

[1]	G. Racah, Group Theory and Spectroscopy, Princeton, 1951.[2] R. E. Behrends et al., Rev. Mod. Phys., 34(1962),1.[3] A. Salam, Theoretical Phyeies, p.173, Viena, 1963.[4] 孙洪洲,高能物理与核物理,4(1980), 73; 137,

[1]	M. Ablikim et al (BESⅡ collaboration) . First evidence of ψ(2S)→Ω^-Ω⁺. Chinese Physics C, 2012, 36(11): 1040-1045. doi: 10.1088/1674-1137/36/11/002
[2]	for the . Status of KLOE-2. Chinese Physics C, 2010, 34(6): 918-923. doi: 10.1088/1674-1137/34/6/051
[3]	Daisuke Nomura . Update of g－2 of the muon and Δα. Chinese Physics C, 2010, 34(6): 728-734. doi: 10.1088/1674-1137/34/6/019
[4]	CHANG Zhe , GUAN Cheng-Bo . Statistical Properties of Radiation Fields in a Compact Space. Chinese Physics C, 2007, 31(9): 797-801.
[5]	WU Ling-Hui , LIU Jian-Bei , QIN Zhong-Hua , CHEN Chang , ZHUANG Bao-An , CHEN Yuan-Bo , WANG Yi-Fang , JIN Yan , LIU Rong-Guang , MA Xiao-Yan , Ma Yuan-Yuan , TANG Xiao , , , , . Study of the Compensation Voltage on the Boundary Field Layer of the BES III Drift Chamber. Chinese Physics C, 2006, 30(7): 665-669.
[6]	LI Xi-Guo , Marcello Baldo , SONG Jian-Jun , LIU Fang . Diffusion Equations in Lie Group Manifold. Chinese Physics C, 2001, 25(1): 86-88.
[7]	Sang Jianping , Liu Yong . Microscopic Investigation of High-Spin States for the Even-Even Nuclei (III) Application to Isotopes ¹²⁶Ba, ¹²⁸Ba and ¹³⁰Ba. Chinese Physics C, 1995, 19(S1): 87-92.
[8]	Sang Jianping , Liu Yong . The Microscopic Investigation of High-Spin States for Even-Even Nuclei(III)Application to isotopes ¹²⁶Ba,¹²⁸Ba and ¹³⁰Ba. Chinese Physics C, 1994, 18(12): 1102-1106.
[9]	Zuo Wei , Ge Lingxiao , Zhang Fengshou . Dynamics of Heavy Ion Collisions in the Fermi Domain (III) Multifragmentation and Limiting Excitation Energy. Chinese Physics C, 1993, 17(S3): 277-283.
[10]	YAN Jun , HU Shi-Ke . The Stable Compactification of Ten-Dimensional Supergravity Model. Chinese Physics C, 1993, 17(8): 692-699.
[11]	YU Zu-Rong . Irreducible Representations of Quantum Lie Superalgebra SL_q(2/1). Chinese Physics C, 1992, 16(11): 1035-1042.
[12]	YAN Jun , HU Shi-Ke . Compact Baby Universe Model in ten Dimension and Probability Function of Quantum Gravity. Chinese Physics C, 1991, 15(10): 890-897.
[13]	Zheng Weihong , Liu Jinming , Guo Shuohong . The Mass Gap in 2 + 1 Dimensional SU(2) Lattice Gauge Theory. Chinese Physics C, 1988, 12(S1): 51-54.
[14]	XU Jian-Jun , LI Xin-Zhou , NI Guang-Jiong . AN INFLATION SOLUTION FROM THE CALABI-YAU COMPACTIFICATION. Chinese Physics C, 1988, 12(6): 852-856.
[15]	SHEN Qi-Xing , WU Ji-Min , LU Jing-Xian , ZHAO Pei-Ying . THE BEHAVIOURS OF F₂^ep(X, Q²)-F₂^en(X, Q²) AND THE SCALE-BREAKING PARAMETER. Chinese Physics C, 1983, 7(3): 301-308.
[16]	GAO YUAN-YI . TO ANALYSE THE PROPERTY SUPERBAND BY USING 2Δ. Chinese Physics C, 1981, 5(4): 508-512.
[17]	Lu Jing-xian . 2π→2K SCATTERING AND πK ELASTIC SCATTERING. Chinese Physics C, 1980, 4(1): 28-32.
[18]	Sun Hong-zhou , Han Qi-zhi . ON THE IRREDUCIBLE REPRESENTATIONS OF THE SIMPLE LIE GROUPS I——THE TENSOR BASIS FOR THE INFINITESIMAL GENERATORS OF THE CLASSICAL SIMPLE LIE GROUPS. Chinese Physics C, 1980, 4(5): 588-599.
[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

Sun Hong-zhou. ON THE IRREDUCIBLE REPRESENTATIONS OF THE COMPACT SIMPLE LIE GROUPS OF RANK 2(III)[J]. Chinese Physics C, 1980, 4(3): 271-285.

Sun Hong-zhou. ON THE IRREDUCIBLE REPRESENTATIONS OF THE COMPACT SIMPLE LIE GROUPS OF RANK 2(III)[J]. Chinese Physics C, 1980, 4(3): 271-285. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1978-12-08
Revised: 1900-01-01

Article Metric

Article Views(2689)
PDF Downloads(307)
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

ON THE IRREDUCIBLE REPRESENTATIONS OF THE COMPACT SIMPLE LIE GROUPS OF RANK 2(III)

Sun Hong-zhou

Peking University

Received Date: 1978-12-08
Accepted Date: 1900-01-01
Available Online: 1980-06-05

Abstract: In this paper, using the method employed in two earlier papers: "On the Irredu-cible Representations of the Compact Simple Lie Groups of Rank 2(I) and (II)",theirreducible representations of the groups B₂ and G₂ are discussed. A method for cal-culating the irreducible representations of these groups is given. Moreover,some ofthe low dimensional representations of these groups are calculated.