Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics
4-8 Jul 2016 Vancouver, British Columbia (Canada)
On q-integrals over order polytopes (extended abstract)
Jang Soo Kim  1, 2@  
1 : School of Mathematics  (UMN-MATH)  -  Website
University of Minnesota 127 Vincent Hall 206 Church Street Minneapolis MN 55455 -  États-Unis
2 : Department of Mathematics [Suwon]
Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea -  Corée du Sud

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, the q-beta integral and a q-analog of Dirichlet's integral are computed. A combinatorial interpretation of a q-Selberg integral is also obtained. 

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