A comparison of q-decomposition numbers in the q-deformed Fock spaces of higher levels
arXiv:1102.1780
Abstract
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 coincides with that of level under certain conditions of multi charge.
21 pages