ON THE IRREDUCIBLE REPRESENTATIONS OF THE SYMMETRIC GROUP
نویسندگان
چکیده
منابع مشابه
Irreducible Representations of the Symmetric Group
We construct the Specht modules and prove that they completely characterize the irreducible representations of the symmetric group. We will prove certain properties of these representations using combinatorial tools (such as calculating the dimension using Hook’s length formula). Only an introductory knowledge of group theory and linear algebra will be assumed and representation theory concepts...
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The intent of this paper is to give the reader, in a general sense, how to go about finding irreducible representations of the Symmetric Group Sn. While I would like to be thorough toward this end, I fear we must assume some results from Wedderburn Theory that will be given without proof because although they are important, proving and discussing these results is not in the scope of this paper....
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We describe a particularly easy way of evaluating the modular irreducible matrix representations of the symmetric group. It shows that Specht’s approach to the ordinary irreducible representations, along Specht polynomials, can be unified with Clausen’s approach to the modular irreducible representations using symmetrized standard bideterminants. The unified method, using symmetrized Specht pol...
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قاعده مقتضی و مانع در متون فقهی کم و بیش مستند احکام قرار گرفته و مورد مناقشه فقهاء و اصولیین می باشد و مشهور معتقند مقتضی و مانع، قاعده نیست بلکه یکی از مسائل ذیل استصحاب است لذا نگارنده بر آن شد تا پیرامون این قاعده پژوهش جامعی انجام دهد. به عقیده ما مقتضی دارای حیثیت مستقلی است و هر گاه می گوییم مقتضی احراز شد یعنی با ماهیت مستقل خودش محرز گشته و قطعا اقتضاء خود را خواهد داشت مانند نکاح که ...
15 صفحه اولOn the Dimension of Some Modular Irreducible Representations of the Symmetric Group
We compute the dimension of some irreducible representations of the sym metric groups in characteristic ρ (Theorem 2). The representations considered here are associated with Young diagrams m : πΐχ > m 2 > ... > m/ such that πΐχ — mi < (jp — I). The formula is based on a variant of Verlinde's formula which computes some tensor product multiplicities of indecomposable modules for GLi(¥p), as it...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1955
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.41.12.1096