, Volume 244, Issue 1, pp 111-131
Date: 13 Nov 2003

Young Wall Realization of Crystal Graphs for U q (C n (1) )

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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.

Communicated by L. Takhtajan
This work was supported by KOSEF Grant #98-0701-01-5-L and the Young Scientist Award, Korean Academy of Science and Technology.
This work was supported by BK21 Project, Mathematical Sciences Division, Seoul National University.