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Higher Specht polynomials for the symmetric group. (English) Zbl 0811.20011
Let \(H\) be the regular \(S_ n\) module over the rationals. The authors of the announcement under review sketch a combinatorial algorithm for constructing a basis of \(H\) using pairs of standard Young tableaux. This construction allows them to construct bases of the irreducible components of \(H\).

20C30 Representations of finite symmetric groups
05E05 Symmetric functions and generalizations
05E10 Combinatorial aspects of representation theory
Full Text: DOI
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