A vector partition function for the multiplicities of slkC


We use Gelfand–Tsetlin diagrams to write down the weight multiplicity function for the Lie algebra slkC (type Ak−1) as a single partition function. This allows us to apply known results about partition functions to derive interesting properties of the weight diagrams. We relate this description to that of the Duistermaat–Heckman measure from symplectic… (More)


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