On $Q$-deformations of Postnikov-Shapiro algebras
Combinatorics
2017-08-24 v1 Commutative Algebra
Abstract
For any given loopless graph , we introduce - deformations of its Postnikov-Shapiro algebras counting spanning trees, counting spanning forests and - deformations of internal algebra of . 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. Furthermore, we construct "square-free" definition of usual internal algebra of .
Keywords
Cite
@article{arxiv.1708.06815,
title = {On $Q$-deformations of Postnikov-Shapiro algebras},
author = {Anatol N. Kirillov and Gleb Nenashev},
journal= {arXiv preprint arXiv:1708.06815},
year = {2017}
}
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17 pages