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Some useful results concerning the representation theory of the symmetric group

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Publication:3994271
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DOI10.1088/0305-4470/24/22/006zbMath0777.20006OpenAlexW1994848781MaRDI QIDQ3994271

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Publication date: 13 August 1992

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/24/22/006


zbMATH Keywords

symmetric groupirreducible representationsclass sums


Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30)


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Content evaluation and class symmetric functions ⋮ Minimal set of class-sums characterizing the ordinary irreducible representations of the symmetric group, and the Tarry-Escott problem ⋮ Explicit expressions for the central characters of the symmetric group ⋮ The fundamental invariant of the Hecke algebra Hn(q) characterizes the representations of Hn(q), S n, SUq(N), and SU(N) ⋮ Katriel's operators for products of conjugacy classes of \(\mathfrak S_n\) ⋮ Research problems



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