关于分解数与Alvis-Curtis对偶
On decomposition numbers and Alvis-Curtis duality
摘要：
我们证明了对于一般线性群${\rm GL}_n(q)$以及$q$ -Schur代数，特征$\ell$，$\ell \nmid q$的域上的模Alvis-Curtis对偶的知识等价于分解数的知识.
英文摘要：
We show that for general linear groups ${\rm GL}_n(q)$ as well as for $q$-Schur algebras the knowledge of the modular Alvis-Curtis duality over fields of characteristic $\ell$, $\ell \nmid q$, is equivalent to the knowledge of the decomposition numbers.
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