English

Young wall realization of crystal graphs for U_q(C_n^{(1)})

Quantum Algebra 2016-12-30 v1

Abstract

We give a realization of crystal graphs for basic representations of the quantum affine algebra U_q(C_n^{(1)}) using combinatorics of Young walls. The notion of splitting blocks plays a crucial role in the construction of crystal graphs.

Keywords

Cite

@article{arxiv.math/0207293,
  title  = {Young wall realization of crystal graphs for U_q(C_n^{(1)})},
  author = {Jin Hong and Seok-Jin Kang and Hyeonmi Lee},
  journal= {arXiv preprint arXiv:math/0207293},
  year   = {2016}
}