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It is a question to me that why we evaluate Kostant or q-analogue Kostant partition function for the highest root of a Lie algebra and if we have these calculations, can we derive these partition functions for an arbitrary weight and root from those?

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  • $\begingroup$ It's very hard (apart from English grammar) to understand what the question is about, not just "drive" for "derive". Also, there is a need for more tags such as 'lie-algebras' and maybe 'rt.representation-theory'. $\endgroup$
    – Jim Humphreys
    Commented Jan 8, 2019 at 23:18
  • $\begingroup$ Dear Jim, I mean that is it possible to compute the q-analog of Kostants's weight multiplicity with respect to an arbitrary root and weight from the highest root? $\endgroup$
    – Ahmadi
    Commented Jan 9, 2019 at 12:48

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