Weight q-multiplicities for Representations of sp<sub>4</sub>(C)
In this paper we present a closed formula for the values of the q-analog of Kostant’s partition function for the Lie algebra sp<sub>4</sub>(C) and use this result to give a simple formula for the q-multiplicity of a weight in the representations of the Lie algebra sp<sub>4</sub>(C). This generalizes the 2012 work of Refaghat and Shahryari that presented a closed formula for weight multiplicities in representations of the Lie algebra sp<sub>4</sub>(C).