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arxiv: 0910.5288 · v2 · submitted 2009-10-28 · 🧮 math.CO

Factorial Schur functions via the six vertex model

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keywords factorialfunctionmodelparticularschurvertexboltzmannboundary
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For a particular set of Boltzmann weights and a particular boundary condition for the six vertex model in statistical mechanics, we compute explicitly the partition function and show it to be equal to a factorial Schur function, giving a new proof of a theorem of Lascoux.

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