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arXiv · 1003.3948

Intrinsic energy is a loop Schur function

Thomas Lam·Pavlo Pylyavskyy
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Abstract

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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Thomas Lam, Pavlo Pylyavskyy. 2010-03-20. Intrinsic energy is a loop Schur function. https://arxiv.org/abs/1003.3948

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