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Subduction coefficients of Brauer algebras and Racah coefficients of O(n) and Sp(2m) .2. Racah coefficients
Pan, F; Dai, LR
1996
发表期刊JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
卷号29期号:16页码:5093-5102
通讯作者LIAONING NORMAL UNIV, DEPT PHYS, DALIAN 116029, PEOPLES R CHINA ; ACAD SINICA, INST HIGH ENERGY PHYS, BEIJING 100039, PEOPLES R CHINA
文章类型Article
摘要Racah coefficients of O(n) and Sp(2m) are derived from subduction coefficients of Brauer algebras D-f(n) by using the Schur-Weyl duality relation between D-f(n) and O(n) or Sp(2m). It is found that there are two types of Racah coefficients according to irreps of O(n) or Sp(2m) with or without trace contraction. It is proved that Racah coefficients with no trace contraction in the irreps are trivial and the same as those of unitary groups U(n), which are rank n-independent, and those with trace contraction usually are n-dependent. Racah coefficients with trace contraction for the resulting irreps [n(1),n(2),n(3), 0 over dot] with Sigma(i=1)(3) n(i) less than or equal to 3 are tabulated.
学科领域Physics
研究领域[WOS]Physics ; Physics
DOI10.1088/0305-4470/29/16/028
URL查看原文
语种英语
研究领域[WOS]Physics ; Physics
WOS类目Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号WOS:A1996VE81100028
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被引频次:6[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ihep.ac.cn/handle/311005/240013
专题理论物理室
作者单位中国科学院高能物理研究所
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Pan, F,Dai, LR. Subduction coefficients of Brauer algebras and Racah coefficients of O(n) and Sp(2m) .2. Racah coefficients[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,1996,29(16):5093-5102.
APA Pan, F,&Dai, LR.(1996).Subduction coefficients of Brauer algebras and Racah coefficients of O(n) and Sp(2m) .2. Racah coefficients.JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL,29(16),5093-5102.
MLA Pan, F,et al."Subduction coefficients of Brauer algebras and Racah coefficients of O(n) and Sp(2m) .2. Racah coefficients".JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 29.16(1996):5093-5102.
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