MOLIEN TYPE FUNCTION FOR ANTISYMMETRIZED POWER REPRESENTATION OF A FINITE GROUP

数学物理学报 ›› 1982, Vol. 2 ›› Issue (3): 333-336.

MOLIEN TYPE FUNCTION FOR ANTISYMMETRIZED POWER REPRESENTATION OF A FINITE GROUP

蒲富恪, 陶瑞宝

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:1982-09-26 发布日期:1982-09-26

MOLIEN TYPE FUNCTION FOR ANTISYMMETRIZED POWER REPRESENTATION OF A FINITE GROUP

Pu Fuke, Tao Ruibao

1. Institute of Physics, Academia Sinica, Beijing;
2. Department of Physics, Fudan University, Shanghai

Received:1981-11-15 Online:1982-09-26 Published:1982-09-26

摘要/Abstract

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) Σ_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.

蒲富恪, 陶瑞宝. MOLIEN TYPE FUNCTION FOR ANTISYMMETRIZED POWER REPRESENTATION OF A FINITE GROUP[J]. 数学物理学报, 1982, 2(3): 333-336.

Pu Fuke, Tao Ruibao. MOLIEN TYPE FUNCTION FOR ANTISYMMETRIZED POWER REPRESENTATION OF A FINITE GROUP[J]. Acta mathematica scientia,Series A, 1982, 2(3): 333-336.

MOLIEN TYPE FUNCTION FOR ANTISYMMETRIZED POWER REPRESENTATION OF A FINITE GROUP

MOLIEN TYPE FUNCTION FOR ANTISYMMETRIZED POWER REPRESENTATION OF A FINITE GROUP

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