Young Straightening in a Quotient Sn-Module
نویسنده
چکیده
We describe a straightening algorithm for the action of Sn on a certain graded ring Ru. The ring Ru, appears in the work of C. de Concini and C. Procesi [2] and T. Tanisaki [8], and more recently in the work of A. Garsia and C. Procesi [4]. This ring is a graded version of the permutation representation resulting from the action of Sn on the left cosets of a Young subgroup. As a corollary of our straightening algorithm we obtain a combinatorial proof of the fact that the top degree component of Ru affords the irreducible representation of Sn indexed by u.
منابع مشابه
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