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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.
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https://hal.archives-ouvertes.fr/hal-02168131
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Submitted on : Friday, June 28, 2019 - 2:07:45 PM
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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. ⟨hal-02168131⟩

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