10 votes
Accepted

Double q-analog of Pochhammer

This product appears in permutation enumeration. See, for example, D. P. Roselle, Coefficients associated with the expansion of certain products (DOI), Proc. Amer. Math. Soc. 45 (1974), 144-150.
Ira Gessel's user avatar
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2 votes

Lusztig's $q$-analog of weight multiplicity with product formula

It looks like one has a product formula for the Poincare series of generalized exponents (Lusztig's $q$-multiplicity for the $0$ weight) of small dominant weights, i.e. those dominant weights in the ...
Tamas Hausel's user avatar
2 votes

A divisibility of q-binomial coefficients combinatorially

I have posted a paper about this problem to the arxiv: Lattice Points and Rational q-Catalan Numbers The paper contains some historical discussion. As I mention in Section 5, the first proof that $$\...
Drew Armstrong's user avatar

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