Contents Online
Journal of Combinatorics
Volume 4 (2013)
Number 4
Intrinsic energy is a loop Schur function
Pages: 387 – 401
DOI: https://dx.doi.org/10.4310/JOC.2013.v4.n4.a1
Authors
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 ${U_q'({\mathfrak{\hat{sl_n}}})}$. 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.
Published 27 December 2013