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.
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 ...
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 $$\...
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