数学物理学报(英文版) ›› 1982, Vol. 2 ›› Issue (3): 339-342.

• 论文 • 上一篇    下一篇

MOLIEN TYPE FUNCTION FOR ANTISYMMETRIZED POWER REPRESENTATION OF A FINITE GROUP

蒲富恪1, 陶瑞宝2   

  1. 1. Institute of Physics, Academia Sinica, Beijing;
    2. Department of Physics, Fudan University, Shanghai
  • 收稿日期:1981-11-15 出版日期:1982-09-25 发布日期:1982-09-25

MOLIEN TYPE FUNCTION FOR ANTISYMMETRIZED POWER REPRESENTATION OF A FINITE GROUP

Pu Fuke1, Tao Ruibao2   

  1. 1. Institute of Physics, Academia Sinica, Beijing;
    2. Department of Physics, Fudan University, Shanghai
  • Received:1981-11-15 Online:1982-09-25 Published:1982-09-25

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摘要： For antisymmetrized nth power of representation Γ of a finite group G we define the Molien type generating function M (-) (Γ,G; z) ∑n=0∞ C (-)n1 zn where c (-)n1 is the multiplicity of the identity representation in the antisymmetrized nth power of representation of finite group G. We obtain a formula for M(-) (Γ,G; z) and two algorithms for its calculations using the characters only.

Abstract: For antisymmetrized nth power of representation Γ of a finite group G we define the Molien type generating function M (-) (Γ,G; z) ∑n=0∞ C (-)n1 zn where c (-)n1 is the multiplicity of the identity representation in the antisymmetrized nth power of representation of finite group G. We obtain a formula for M(-) (Γ,G; z) and two algorithms for its calculations using the characters only.

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