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Creators/Authors contains: "Simpson, Anthony"

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  1. ; ; ; ; (, Annals of Combinatorics)
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  2. ; ; (, Applicable Algebra in Engineering, Communication and Computing)
    The multiplicity of a weight μμ in an irreducible representation of a simple Lie algebra gg with highest weight λλ can be computed via the use of Kostant’s weight multiplicity formula. This formula is an alternating sum over the Weyl group and involves the computation of a partition function. In this paper we consider a q-analog of Kostant’s weight multiplicity and present a SageMath program to compute q-multiplicities for the simple Lie algebras. 
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