Crystals and total positivity on orientable surfaces

DOI10.1007/s00029-012-0094-2zbMath1260.05043arXiv1008.1949OpenAlexW2034699835MaRDI QIDQ1941769

Pavlo Pylyavskyy, Thomas Lam

Publication date: 21 March 2013

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1949

zbMATH Keywords

total positivityloop groupsnetworks on surfacesgeometric crystalsboundary measurementsnetworks on orientable surfaces

Mathematics Subject Classification ID

Applications of graph theory (05C90) Combinatorial aspects of representation theory (05E10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Planar graphs; geometric and topological aspects of graph theory (05C10) Positive matrices and their generalizations; cones of matrices (15B48) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Lattice dynamics; integrable lattice equations (37K60)

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