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arxiv: 1003.3948 · v2 · pith:33LFU744new · submitted 2010-03-20 · 🧮 math.QA · math.CO· math.RT

Intrinsic energy is a loop Schur function

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keywords functionenergyloopschurauthorscrystalsexplicitformula
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We give an explicit subtraction-free formula for the energy function in tensor products of Kirillov-Reshetikhin crystals for symmetric powers of the standard representation of U_q'(\hat sl_n). The energy function is shown to be the tropicalization of a stretched staircase shape loop Schur function. The latter were introduced by the authors in the study of total positivity in loop groups.

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