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The standard basis of the Specht module
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appear applying assume base basis belong calculate called char F characteristic classes coefficients column composition factors consider constructed contains Corollary corresponding decomposition matrix defined definition diagram dimension divides dual element entries equals equivalent EXAMPLE field follows given gives ground field Home homomorphism independent induction integers involved irreducible isomorphic Lemma linear combination Littlewood-Richardson Rule multiplicity nodes non-zero Note obtained ordinary p-regular pair permutation prime Proof proper partition prove reducible Remark respectively result semistandard sequence shows skew space spanned Specht module standard basis submodule Suppose symmetric tableau tabloid th row Theorem theory trivial true unique unless vector write zero ܐ ܐ ܐ ܐ ܐ ܕ ܐ ܕ ܐ ܕ ܐ ܐ ܕ ܕ