On q-integrals over order polytopes (extended abstract)
Abstract
A q-integral over an order polytope coming from a poset is interpreted as a generating function of linear extensions of the poset. As an application, theq-beta integral and aq-analog of Dirichlet’s integral are computed. A combinatorial interpretation of aq-Selberg integral is also obtained.
Domains
Combinatorics [math.CO]
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