Explicit description of the degree function in terms of quantum Lakshmibai-Seshadri paths
Quantum Algebra
2016-02-09 v2 Representation Theory
Abstract
We give an explicit and computable description, in terms of the parabolic quantum Bruhat graph, of the degree function defined for quantum Lakshmibai-Seshadri paths, or equivalently, for "projected" (affine) level-zero Lakshmibai-Seshadri paths. This, in turn, gives an explicit and computable description of the global energy function on tensor products of Kirillov-Reshetikhin crystals of one-column type, and also of (classically restricted) one-dimensional sums.
Keywords
Cite
@article{arxiv.1504.04707,
title = {Explicit description of the degree function in terms of quantum Lakshmibai-Seshadri paths},
author = {Cristian Lenart and Satoshi Naito and Daisuke Sagaki and Anne Schilling and Mark Shimozono},
journal= {arXiv preprint arXiv:1504.04707},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1308.3529