A binomial Laurent phenomenon algebra associated with the complete graph |
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Authors: | Stella S Gastineau Gwyneth Moreland |
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Institution: | 1.Department of Mathematics,Boston College,Chestnut Hill,USA;2.Department of Mathematics,University of Michigan,Ann Arbor,USA |
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Abstract: | In this paper, we find the exchange graph of \(\mathcal {A}({\tau _n})\), the rank n binomial Laurent phenomenon algebra associated with the complete graph \(K_n\). More specifically, we prove that the exchange graph is isomorphic to that of \(\mathcal {A}(t_n)\), a rank n linear Laurent phenomenon algebra associated with the complete graph which is discussed in Lam and Pylyavskyy (Linear Laurent phenomenon algebras, arXiv:1206.2612v2, 2012). |
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