Communications in Mathematical Physics

, Volume 244, Issue 1, pp 111–131

Young Wall Realization of Crystal Graphs for Uq(Cn(1))

Authors

  • Jin Hong
    • National Security Research Institute, 1
  • Seok-Jin Kang
    • Korea Institute for Advanced Study
    • Korea Institute for Advanced Study
Article

DOI: 10.1007/s00220-003-0966-6

Cite this article as:
Hong, J., Kang, S. & Lee, H. Commun. Math. Phys. (2004) 244: 111. doi:10.1007/s00220-003-0966-6

Abstract

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

Copyright information

© Springer-Verlag Berlin Heidelberg 2003