BRANCHING FORMULAS FOR <EM>SO</EM>(n)<IMG style="WIDTH: 14px; HEIGHT: 12px" height=19 src="http://hepnp.ihep.ac.cn/qikan/manage/ewebeditor/UploadFile/2011811115656568.jpg" width=25 border=0> <EM>SO</EM>(n－1) TENSOR AND SPINOR REPRESENTATIONS

WU Hua

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2024年10月30日

Chinese Physics C> 1986, Vol. 10> Issue(1) : 75-81

BRANCHING FORMULAS FOR SO(n) SO(n－1) TENSOR AND SPINOR REPRESENTATIONS

WU Hua ^,

Suzhou University

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Abstract：
Branching formulas for SO(n) SO(n－1) tensor representations are given from the branching rules for SO(n) SO(n－1) which described in F.D.Murnaghan's. Furthermore, these formulas are extended to the spinor representations by using the method of kronecker products. In this way a pair of complete branching formulas for SO(n) SO(n－1) is give in this paper.

References

[1]	F. D. Murnaghan, Theory of Group Representations,(Johns Hopkins Press, Baltimore 1938).[2] I. M. Gel'fand et al., Representations of the Rotation and Lotentz Groups and Their Applicadons, (Pargamon Press 1963) p353-564.[3] Mark Fischler, J. Math. Phys.,22(1981), 637.

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WU Hua. BRANCHING FORMULAS FOR SO(n)

SO(n－1) TENSOR AND SPINOR REPRESENTATIONS[J]. Chinese Physics C, 1986, 10(1): 75-81.

WU Hua. BRANCHING FORMULAS FOR SO(n)

SO(n－1) TENSOR AND SPINOR REPRESENTATIONS[J]. Chinese Physics C, 1986, 10(1): 75-81. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

BRANCHING FORMULAS FOR SO(n) SO(n－1) TENSOR AND SPINOR REPRESENTATIONS

WU Hua ^,

Corresponding author: WU Hua,

Suzhou University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1986-02-05

Abstract: Branching formulas for SO(n) SO(n－1) tensor representations are given from the branching rules for SO(n) SO(n－1) which described in F.D.Murnaghan's. Furthermore, these formulas are extended to the spinor representations by using the method of kronecker products. In this way a pair of complete branching formulas for SO(n) SO(n－1) is give in this paper.