We characterize the rank of edge connection matrices of partition functions of real vertex models, as the dimension of the homogeneous components of the algebra of G-invariant tensors. Here G is the subgroup of the real orthogonal group that stabilizes the vertex model. This answers a question of Bal´azs Szegedy from 2007
Edge connection matrix, partition function, vertex model, tensor algebra, orthogonal group, invariants
Logistics (theme 3)
Cornell University Library
arXiv.org e-Print archive
Networks and Optimization

Regts, G. (2011). The rank of edge connection matrices and the dimension of algebras of invariant tensors. arXiv.org e-Print archive. Cornell University Library .