English

Path model for quantum loop modules of fundamental type

Quantum Algebra 2007-05-23 v1

Abstract

For a certain class of simple integrable modules of level zero over a quantised affine algebra, we establish the existence of a pseudo-crystal basis and show that such a basis admits a combinatorial realisation in the framework of the path model of Littelmann.

Keywords

Cite

@article{arxiv.math/0307049,
  title  = {Path model for quantum loop modules of fundamental type},
  author = {Jacob Greenstein and Polyxeni Lamprou},
  journal= {arXiv preprint arXiv:math/0307049},
  year   = {2007}
}