Answer by Tamas Hausel for Relationship between $q$-Weyl dimension formula...
what you want is $(8.10)$ ofLusztig, George (1-MIT)Singularities, character formulas, and a q-analog of weight multiplicities. Analysis and topology on singular spaces, II, III (Luminy, 1981),...
View ArticleAnswer by Gjergji Zaimi for Relationship between $q$-Weyl dimension formula...
I think that the best reference for what I mention here is Stembridge's notes "Kostka-Foulkes Polynomials of General Type". The picture you describe for type A actually generalizes nicely to all...
View ArticleRelationship between $q$-Weyl dimension formula and $q$-analog of weight...
$\DeclareMathOperator\dim{dim}$For a dominant (integral) weight $\lambda$ and any (integral) weight $\mu$ of a simple Lie algebra $\mathfrak{g}$, Lusztig's $q$-analog of weight...
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