高阶q-变形Fock空间中q-分解数的比较
A comparison of q-decomposition numbers in the q-deformed Fock spaces of higher levels
摘要：
更高能级的q-变形Fock空间是由Jimbo-Misra-Miwa-Okado引入的。q-分解矩阵是在q-变形Fock空间中从标准基到Uglov定义的正则基的转移阵。本文证明了在一定的多电荷条件下，$\ell$与$\ell - 1$的q-分解矩阵的部分一致性.
英文摘要：
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.
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