On q-integrals over order polytopes (extended abstract)

Jang Soo Kim (1, 2)

1 UMN-MATH - School of Mathematics
2 Department of Mathematics [Suwon]

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.

Domaines: Combinatoire [math.CO]

Jang Soo Kim. On q-integrals over order polytopes (extended abstract). 28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada. ⟨10.46298/dmtcs.6413⟩. ⟨hal-02168131⟩