Séminaire Lotharingien de Combinatoire, 78B.55 (2017), 12 pp.

Anatol N. Kirillov and Gleb Nenashev

On Q-Deformations of Postnikov-Shapiro Algebras

Abstract. For any given loopless graph G, we introduce Q-deformations of its Postnikov-Shapiro algebras counting spanning trees and forests. We determine the total dimension of the algebras; our proof also gives a new proof of the formula for the total dimensions of the usual Postnikov-Shapiro algebras.

Received: November 14, 2016. Accepted: February 17, 2017. Final version: April 1, 2017.

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