Principal minors and rhombus tilings

DOI10.1088/1751-8113/47/47/474010zbMath1310.15011arXiv1404.1354OpenAlexW2963681320MaRDI QIDQ2936565

Robin Pemantle, Richard W. Kenyon

Publication date: 17 December 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.1354

zbMATH Keywords

positive definite matricesquaternionsrhombus tilingcluster algebrasmatrix minorsprincipal minordeterminantal modelsHermitian symmetric matricesLaurent-polynomial parameterizationYang-Baxter-like transformation

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Group rings (16S34) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

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