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On the perfect systems of the Specht modules of the Weyl groups of type \(C_n\) - MaRDI portal

On the perfect systems of the Specht modules of the Weyl groups of type \(C_n\) (Q1390177)

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scientific article; zbMATH DE number 1174973
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English
On the perfect systems of the Specht modules of the Weyl groups of type \(C_n\)
scientific article; zbMATH DE number 1174973

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    On the perfect systems of the Specht modules of the Weyl groups of type \(C_n\) (English)
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    29 January 2002
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    The author applies the concept of perfect systems to root systems of type \(C_n\). He presents an algorithm for finding a basis for the Specht modules of the Weyl groups of type \(C_n\) in terms of perfect systems. He applies the algorithm to describe all irreducible representations of the Weyl groups in terms of root systems.
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    root systems
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    Weyl groups
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    Specht modules
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    irreducible representations
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