PHYSICAL METHODS OF GROUP REPRESENTATION THEORY (Ⅲ)——OUTER-PRODUCT REDUCTION COEFFICIENTS OF THE PERMUTATION GROUP AND CG COEFFICIENTS OF THE SU<sub>n</sub> GROUP

CHEN JIN-QUAN; WANG FAN; GAO MEI-JUAN

doi:10.7498/aps.27.31

Abstract
This paper introduces an important coefficient-the outer-product reduction coef-ficient of the permutation group (Abbrev as ORC). Its properties and calculation method are discussed. An important relation between the ORC and the CG coeffi-cient of the SUn group is revealed which enables one to derive the latter from the former immediatelv.
Authors and contacts
CHEN JIN-QUAN,

WANG FAN,

GAO MEI-JUAN

1.
南京大学物理系
References

[1]

Cited By
[1]

[1]	Jiang Yao-Yao, Zhang Wen-Bin, Chu Peng-Cheng, Ma Hong-Yang. Feedback search algorithm for multi-particle quantum walks over a ring based on permutation groups. Acta Physica Sinica, 2022, 71(3): 030201. doi: 10.7498/aps.71.20211000
[2]	. Feedback search algorithm for multi-particle quantum walks over a ring based on permutation groups. Acta Physica Sinica, 2021, (): . doi: 10.7498/aps.70.20211000
[3]	Chen Fu-Zhou, Cheng Chen, Luo Hong-Gang. Hybrid parallel optimization of density matrix renormalization group method. Acta Physica Sinica, 2019, 68(12): 120202. doi: 10.7498/aps.68.20190586
[4]	Guo Mei-Yu, Gao Jie. Differential invariants and group classification of variable coefficient generalized Gardner equation. Acta Physica Sinica, 2009, 58(10): 6686-6691. doi: 10.7498/aps.58.6686
[5]	Zhang A-Man, Yao Xiong_Liang, Li Jia. The dynamics of bubbles. Acta Physica Sinica, 2008, 57(3): 1672-1682. doi: 10.7498/aps.57.1672
[6]	Wang Hong, Lou Ping, Zhuang Yong-He. Flow equations for solving elementary excitation energy spectrum of the t-J model. Acta Physica Sinica, 2004, 53(2): 577-581. doi: 10.7498/aps.53.577
[7]	DING JIAN-WEN, YAN XIAO-HONG, FANG XIAN-CHENG, DUAN ZHU-PING. HOPPING CONDUCTIVITY OF NANOSTRUCTURED CHAIN: REAL-SPACE RENORMALIZATION GROUP APPROACH. Acta Physica Sinica, 1999, 48(2): 314-319. doi: 10.7498/aps.48.314
[8]	HAN FEI, MA BEN-KUN. GROWTH OF INTERFACE WITH AN EXTERNAL FIELD. Acta Physica Sinica, 1993, 42(11): 1812-1816. doi: 10.7498/aps.42.1812
[9]	HOU BO-YU, SHI KANG-JIE, YANG ZHONG-XIA, YUE RUI-HONG. INTEGRABLE QUANTUM CHAIN AND THE REPRESENTATION OF QUANTUM GROUP SUq(2). Acta Physica Sinica, 1992, 41(2): 201-212. doi: 10.7498/aps.41.201
[10]	Ye Qing;Tang Kun-fa; Hu Jia-zhen. APPLICATION OF AN EXACTDECIMATION TRANSFORMATION WITH MEAN一FIELD APPROXIMATION METHOD TO THE POTTS MODEL. Acta Physica Sinica, 1987, 36(8): 1019-1026. doi: 10.7498/aps.36.1019
[11]	WANG RONG. ON THE ISOMORPHISM BETWEEN GAUGE GROUPS BEFORE AND AFTER RENORMALIZATION, IN THE PRESENCE OF ABEL SUBGROUPS AND HIGGS FIELDS. Acta Physica Sinica, 1981, 30(6): 731-746. doi: 10.7498/aps.30.731
[12]	ZHANG LI-NING, ZHOU ZHEN-LONG. POSSIBLE SPACE-TIME MANIFOLDS AND KINEMATICS. Acta Physica Sinica, 1981, 30(1): 35-45. doi: 10.7498/aps.30.35
[13]	CHEN JIN-CHUAN, GAO MEI-JUAN, WANG FAN. PHYSICAL METHOD OF GROUP REPRESENTATION THEORY (V)——THE IRREDUCIBLE BASES OF SU(3)?SO(3) AND SU(4)?SU(2)×SU(2). Acta Physica Sinica, 1978, 27(3): 237-246. doi: 10.7498/aps.27.237
[14]	CHEN JIN-QUAN, WANG FAN, GAO MEI-JUAN. PHYSICAL METHOD OF GROUP REPRESENTATION THEORY (IV)——THE IRREDUCIBLE BASES OF SU_mn?SU_m×SU_n AND SU_m+n?SU_m?SU_n. Acta Physica Sinica, 1978, 27(2): 203-218. doi: 10.7498/aps.27.203
[15]	CHEN JIN-QUAN, WANG FAN, GAO MEI-JUAN. PHYSICAL METHODS OF GROUP REPRESENTATION THEORY (Ⅰ)——A NEW APPROACH TO THE THEORY OF FINITE GROUP REPRESENTATIONS. Acta Physica Sinica, 1977, 26(4): 307-316. doi: 10.7498/aps.26.307
[16]	CHEN JIN-CHUAN, WANG FAN, GAO MEI-JUAN. PHYSICAL METHOD OF GROUP REPRESENTATION THEORY (Ⅱ)——THE QUASI-STANDARD BASES OF PERMUTATION GROUP AND THE GELFAND BASES OF UNITARY GROUP. Acta Physica Sinica, 1977, 26(5): 427-432. doi: 10.7498/aps.26.427
[17]	HOU PEI-YU. POLYNOMIAL BASES OF GROUP SU₃ AND AN EXPLICIT EXPRESSION FOR ITS CLEBSCH-GORDAN COEFFICIENTS. Acta Physica Sinica, 1966, 22(4): 460-470. doi: 10.7498/aps.22.460
[18]	MA CHUNG-CHI, LIU LIAN-SOU, CHEN JI. ASSIGNMENTS OF THE BARYON RESONANCES IN S?(12) AND THEIR STRONG-DECAYS. Acta Physica Sinica, 1966, 22(5): 589-600. doi: 10.7498/aps.22.589
[19]	. . Acta Physica Sinica, 1965, 21(8): 1578-1580. doi: 10.7498/aps.21.1578
[20]	. . Acta Physica Sinica, 1964, 20(11): 1172-1175. doi: 10.7498/aps.20.1172

Catalog

Vol. 27, Issue 1 - 1978-01-05

Metrics

Abstract views: 10164
PDF Downloads: 671
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

PHYSICAL METHODS OF GROUP REPRESENTATION THEORY (Ⅲ)——OUTER-PRODUCT REDUCTION COEFFICIENTS OF THE PERMUTATION GROUP AND CG COEFFICIENTS OF THE SU_n GROUP

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

PHYSICAL METHODS OF GROUP REPRESENTATION THEORY (Ⅲ)——OUTER-PRODUCT REDUCTION COEFFICIENTS OF THE PERMUTATION GROUP AND CG COEFFICIENTS OF THE SUn GROUP

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About

PHYSICAL METHODS OF GROUP REPRESENTATION THEORY (Ⅲ)——OUTER-PRODUCT REDUCTION COEFFICIENTS OF THE PERMUTATION GROUP AND CG COEFFICIENTS OF THE SU_n GROUP