THE DIMENSIONS OF IRREDUCIBLE REPRESENTATIONS OF THE SYMMETRIC GROUP

Shi He

系统科学与复杂性(英文) ›› 1988, Vol. 1 ›› Issue (2) : 139-147.

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PDF(387 KB)
系统科学与复杂性(英文) ›› 1988, Vol. 1 ›› Issue (2) : 139-147.
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THE DIMENSIONS OF IRREDUCIBLE REPRESENTATIONS OF THE SYMMETRIC GROUP

    Shi He
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THE DIMENSIONS OF IRREDUCIBLE REPRESENTATIONS OF THE SYMMETRIC GROUP

    Shi He
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In this note we derive the demension formula of the irreducible representations of symmetric groups from its defination by using the character formula of the symmetric groupobtained in [7]. Thus we provid a directly proof of the hook formula from the point of view ofthe character of symmetric groups.

Abstract

In this note we derive the demension formula of the irreducible representations of symmetric groups from its defination by using the character formula of the symmetric groupobtained in [7]. Thus we provid a directly proof of the hook formula from the point of view ofthe character of symmetric groups.

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Shi He. THE DIMENSIONS OF IRREDUCIBLE REPRESENTATIONS OF THE SYMMETRIC GROUP. 系统科学与复杂性(英文), 1988, 1(2): 139-147
Shi He. THE DIMENSIONS OF IRREDUCIBLE REPRESENTATIONS OF THE SYMMETRIC GROUP. Journal of Systems Science and Complexity, 1988, 1(2): 139-147
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