Intrinsic energy is a loop Schur function
Quantum Algebra
2014-07-25 v2 Combinatorics
Representation Theory
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.
Cite
@article{arxiv.1003.3948,
title = {Intrinsic energy is a loop Schur function},
author = {Thomas Lam and Pavlo Pylyavskyy},
journal= {arXiv preprint arXiv:1003.3948},
year = {2014}
}
Comments
10 pages