Characterizing partition functions of the vertex model
Copyright policy )Characterizing partition functions of the vertex model
We characterize which graph parameters are partition functions of a vertex model over an algebraically closed field of characteristic 0 (in the sense of de la Harpe and Jones). We moreover characterize when the vertex model can be taken so that its moment matrix has finite rank.
- Leiden University Netherlands
- University of Amsterdam Netherlands
- Dutch Research Council Netherlands
- Centrum Wiskunde & Informatica Netherlands
- Eindhoven University of Technology Netherlands
vertex model, Orthogonal group, partition function, Invariant theory, First Fundamental Theorem, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, 510, Graph polynomials, Vertex model, Graph invariant, FOS: Mathematics, second fundamental theorem, Mathematics - Combinatorics, orthogonal group, Algebra and Number Theory, graph invariant, Mathematics - Rings and Algebras, 004, Partition function, invariant theory, Rings and Algebras (math.RA), Second Fundamental Theorem, first fundamental theorem, Combinatorics (math.CO)
vertex model, Orthogonal group, partition function, Invariant theory, First Fundamental Theorem, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, 510, Graph polynomials, Vertex model, Graph invariant, FOS: Mathematics, second fundamental theorem, Mathematics - Combinatorics, orthogonal group, Algebra and Number Theory, graph invariant, Mathematics - Rings and Algebras, 004, Partition function, invariant theory, Rings and Algebras (math.RA), Second Fundamental Theorem, first fundamental theorem, Combinatorics (math.CO)
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