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arxiv: 1708.07905 · v2 · pith:5JZYBHRVnew · submitted 2017-08-25 · 🧮 math.RT

Weight multiplicity formulas for bivariate representations of classical Lie algebras

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keywords bivariateweightalgebraclassicalcomplexrepresentationrepresentationsalgebras
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A bivariate representation of a complex simple Lie algebra is an irreducible representation having highest weight a combination of the first two fundamental weights. For a complex classical Lie algebra, we establish an expression for the weight multiplicities of bivariate representations.

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