Chinese Physics C > 2007, Vol. 31 > Issue(12): 1099-1101

Compute the Real Orthogonal Form of [n—1,1] Representation of S_nGroup in a Special Representation Space

LIU Da-Qing^,

School of Science, Xi'an Jiaotong University, Xi'an 710049, China

Abstract
HTML
Reference
Related

PDF

Abstract：
We show how to obtain the real orthogonal form of [n—1, 1] representation of S _ngroup by using a trick, representing S _ngroup in a special representation space. At last, we exemplify one of the applications of the trick.

References

[1]

. MA Zhong-Qi. Group Theory in Physics. Beijing: SciencePress, 2006. 203-243 (in Chinese)(马中骥. 物理学中的群论. 北京: 科学出版社, 2006. 203-243)2. HAN Qi-Zhi, SUN Hong-Zhou. Group Theory. Beijing:Peiking University Publishers, 1987. 56-62(in Chinese)(韩其智, 孙洪洲. 群论. 北京: 北京大学出版社, 1987. 56-62)3. CHEN Jin-Quan, GAO Mei-Juan. Reduced Coeffcients of Permutation Groups and Their Application. Beijing: Sci-ence Press, 1981. 1-5 (in Chinese)(陈金全, 高美娟. 置换群约化系数及其应用. 北京: 科学出版社, 1981. 1-5)4. CHEN Jin-Quan. New Approach to Group Representation Theory. Shanghai: Shanghai Scienti c and Technique Publishers, 1984. 101-133(in Chinese)(陈金全. 群表示论的新途径. 上海: 上海科技出版社, 1984. 101-133)

[1]	GUO Fen-Kun,SHENG Peng-Nian,JIAN Huan-Qing,PING Rong-Gang. Decay Υ(3S)→Υ(1S)π＋π－and a Possible bbqq State. Chinese Physics C, 2005, 29(12): 1121-1124.
[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]	JIANG JunQin,LI JieMing. Improved Scheme of the Lattice Hamiltonian in 1+1 Dimensional QCD. Chinese Physics C, 2000, 24(3): 208-212.
[4]	Jiang Junqin,Luo Xiangqian,Guo Shuohong,Liu Jinming. Calculation of the Vacuum Wave Function in 2+1 Dimensional U(1) Gauge Theory by Using the Improved Lattice Hamiltonian. Chinese Physics C, 1999, 23(12): 1152-1157.
[5]	Jiang Junqin,Luo Xiangqian. Calculation of the Vector Meson Mass in 1+1 Dimensional Lattice QCD by Using the Improved Hamiltonian. Chinese Physics C, 1999, 23(7): 644-649.
[6]	Yu Zhaoxian,Liu Yehou. Inhomogeneous Inverse Differential Realizations of the SU(1,1) Group. Chinese Physics C, 1999, 23(6): 529-535.
[7]	Ren Xuezao,Chen Ying,Zhu Yunlun. Analytical Study of Lattice U(1) Gauge-Higgs ModelsWith Fixed Modulus. Chinese Physics C, 1998, 22(4): 315-321.
[8]	Zhang Qingying,Feng Mang,Chen Xiaolin,Wang Baolin. Applications of 1/N Expansion Technique. Chinese Physics C, 1996, 20(3): 252-258.
[9]	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.
[10]	Chen Qizhou,Li Zhibing,Li Lei,Guo Shuohong. Infrared Vacuum Wavefunction of (2+1)-Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(1): 37-42.
[11]	ZHENG Xi-Te,REN Xue-Zao. Calculation on U(1) Lattice Gauge Theory at Finite Temperature. Chinese Physics C, 1993, 17(2): 134-139.
[12]	Zheng Bo,Guo Shuohong. A Solvable 1 + 1 DimensionalU(l) gauge model. Chinese Physics C, 1990, 14(S1): 65-69.
[13]	ZHENG Bo,GUO Shuo-Hong. A SOLVABLE (1+1)-DIMENSIONAL LATTICE U(1) GAUGE MODEL. Chinese Physics C, 1990, 14(3): 282-285.
[14]	ZHENG Bo,GUO Shuo-Hong. A SOLVABLE 1+1-DIMENSIONAL U(1) GAUGE THEORY. Chinese Physics C, 1990, 14(2): 152-155.
[15]	ZHENG Wei-Hong,GUO Shuo-Hong. THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL U(1) LGT. Chinese Physics C, 1989, 13(2): 184-187.
[16]	LI Zhi-Bing,ZHENG Wei-Hong,GUO Shuo-Hong. THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(4): 316-319.
[17]	LIU Jin-Ming,ZHENG Wei-Hong,GUO Shuo-Hong. THE MASS GAP IN 2+1 DIMENSIONAL SU(3) LATTICE CAUGE THEORY. Chinese Physics C, 1988, 12(3): 420-424.
[18]	LIN Jin-Hu,ZHENG Zhe-Zhu. THE HADRON 1→0 DECAY PROCESSESIN A 3+1 DIMENSIONAL THEORY. Chinese Physics C, 1986, 10(2): 153-157.
[19]	MAO HUI-SHUN,LIU RONG-GUANG,ZHOU JIE,WU ZHEN-DONG,YAN JIE. CONSTRUCTION AND CHARACTERISTICS OF A 1m×1m MWPC. Chinese Physics C, 1983, 7(6): 657-664.
[20]	WAN Wu-Yi,LIU Rong-Guang,LIU Jie,LI Ru-Bai,DU Yun-He,ZHOU Jie,XIE Pei-Pei,DONG Xue-Sheng. 1m×1m LARGE SCALE DRIFT CHAMBER. Chinese Physics C, 1983, 7(2): 269-272.

Access

Get Citation

LIU Da-Qing. Compute the Real Orthogonal Form of [n—1,1] Representation of S _nGroup in a Special Representation Space[J]. Chinese Physics C, 2007, 31(12): 1099-1101.

LIU Da-Qing. Compute the Real Orthogonal Form of [n—1,1] Representation of S _nGroup in a Special Representation Space[J]. Chinese Physics C, 2007, 31(12): 1099-1101. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2007-02-05
Revised: 2007-04-05

Article Metric

Article Views(5153)
PDF Downloads(708)
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

Compute the Real Orthogonal Form of [n—1,1] Representation of S_nGroup in a Special Representation Space

LIU Da-Qing^,

Corresponding author:LIU Da-Qing,

School of Science, Xi'an Jiaotong University, Xi'an 710049, China

Received Date:2007-02-05
Accepted Date:2007-04-05
Available Online:2007-12-05

Abstract:We show how to obtain the real orthogonal form of [n—1, 1] representation of S_ngroup by using a trick, representing S_ngroup in a special representation space. At last, we exemplify one of the applications of the trick.