Abstract
We introduce the edge Schur functions Eλ that are defined as a generating series over edge labeled tableaux. We formulate Eλ as the partition function for a solvable lattice model, which we use to show they are symmetric polynomials and derive a Cauchy-type identity with factorial Schur polynomials. Finally, we give a crystal structure on edge labeled tableau to give a positive Schur polynomial expansion of Eλ and show it intertwines with an uncrowding algorithm.
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