The rank of edge connection matrices and the dimension of algebras of invariant tensors
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|
|Organisation||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 .