%0 Journal Article
%T A comparison of q-decomposition numbers in the q-deformed Fock spaces of higher levels
%A Kazuto Iijima
%J Mathematics
%D 2011
%I arXiv
%X The q-deformed Fock spaces of higher levels were introduced by Jimbo-Misra-Miwa-Okado. The q-decomposition matrix is a transition matrix from the standard basis to the canonical basis defined by Uglov in the q-deformed Fock space. In this paper, we show that parts of q-decomposition matrices of level $\ell$ coincides with that of level $\ell - 1$ under certain conditions of multi charge.
%U http://arxiv.org/abs/1102.1780v3