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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 $$H$$.

##### MSC:
 20C30 Representations of finite symmetric groups 05E05 Symmetric functions and generalizations 05E10 Combinatorial aspects of representation theory
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##### References:
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