English

Path description of type B q-characters

Quantum Algebra 2012-12-07 v1 Combinatorics

Abstract

We give a set of sufficient conditions for a Laurent polynomial to be the q-character of a finite-dimensional irreducible representation of a quantum affine group. We use this result to obtain an explicit path description of q-characters for a class of modules in type B. In particular, this proves a conjecture of Kuniba-Ohta-Suzuki.

Keywords

Cite

@article{arxiv.1103.5873,
  title  = {Path description of type B q-characters},
  author = {E. Mukhin and C. A. S. Young},
  journal= {arXiv preprint arXiv:1103.5873},
  year   = {2012}
}

Comments

32 pages, latex

R2 v1 2026-06-21T17:46:52.999Z