Dominant weights of sl_r with fixed e-weight w decompose as unions of simplices indexed by compositions, with multiplicities from quotient data giving a closed count, plus stingray patterns and alcove labeling by weak compositions.
Graded decomposition numbers for cyclotomic Hecke algebras
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Stingray Patterns of Dominant Weights
Dominant weights of sl_r with fixed e-weight w decompose as unions of simplices indexed by compositions, with multiplicities from quotient data giving a closed count, plus stingray patterns and alcove labeling by weak compositions.