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Alvis-Curtis duality for finite general linear groups and a generalized Mullineux involution. (arXiv:1706.04743v2 [math.RT] UPDATED)
来源于:arXiv
We study the effect of Alvis--Curtis duality on the unipotent representations
of $\mathrm{GL}_n(q)$ in non-defining characteristic $\ell$. We show that the
permutation induced on the simple modules can be expressed in terms of a
generalization of the Mullineux involution on the set of all partitions, which
involves both $\ell$ and the order of $q$ modulo $\ell$. 查看全文>>
