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Hi Pfs

i am interested in spin networks (a pecular lattices) and i found two ways to define them. they both take G = SU(2) as the Lie group.

in the both ways the L oriented edges are colored with G representations (elements of G^L

the difference is about the N nodes.

1) in the first way the coloring of the nodes is like the links: elements of G^N

2) in the second the nodes are colored with intertwiners between the ingoing links and the outgoing links from the node

How to see that they are equivalent

i would appreciate an example with one or two nodes

I have doubts because when the nodes are trivalent there is only one intertwiner and in that case is the coloring of the nodes still a choince,

thanks

i am interested in spin networks (a pecular lattices) and i found two ways to define them. they both take G = SU(2) as the Lie group.

in the both ways the L oriented edges are colored with G representations (elements of G^L

the difference is about the N nodes.

1) in the first way the coloring of the nodes is like the links: elements of G^N

2) in the second the nodes are colored with intertwiners between the ingoing links and the outgoing links from the node

How to see that they are equivalent

i would appreciate an example with one or two nodes

I have doubts because when the nodes are trivalent there is only one intertwiner and in that case is the coloring of the nodes still a choince,

thanks

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