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]	Víctor Miguel Banda Guzmán , Rubén Flores-Mendieta , Johann Hernández . Use of SU(3) flavor projection operators to construct baryon-meson scattering amplitudes in the 1/N_c expansion. Chinese Physics C, 2026, 50(2): 1-25.
[2]	Abdel Magied DIAB . Charmed meson structure across crossover from SU(4) Polyakov quark meson model with isospin asymmetry. Chinese Physics C, 2026, 50(1): 013101. doi: 10.1088/1674-1137/ae042d
[3]	Bo Lan , Qin-Ze Song , Jin-Huan Sheng , Yi Qiao , Ru-Min Wang . Study of χ_cJ (J = 0,1,2) decays to light meson pairs based on SU(3) flavor symmetry/breaking analysis. Chinese Physics C, 2025, 49(12): 123106. doi: 10.1088/1674-1137/adff00
[4]	Xin Wu , Qi Chen , Ye Xing , Zhi-Peng Xing , Ruilin Zhu . SU(3) flavor symmetry analysis of hyperon non-leptonic two body decays. Chinese Physics C, 2025, 49(12): 123101. doi: 10.1088/1674-1137/adf1f1
[5]	Di Wang , Wei-Chen Fu . Topological amplitudes of bottom baryon decays in the SU(3)_F limit. Chinese Physics C, 2025, 49(11): 113104. doi: 10.1088/1674-1137/aded06
[6]	Yu-xin Cheng , De-hao Zhao , Yue-yang Shao , Li Gong , Tao Wang , Xiao-shen Kang . SU(3) analysis for B(E2) anomaly. Chinese Physics C, 2025, 49(10): 104105. doi: 10.1088/1674-1137/aded05
[7]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[8]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.

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(3048)
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).