Abstract
We give a link–through the affine Schur algebra–between the representations of the $p$-affine Schur algebra of ${\rm GL}(n)$ over $R$ and the smooth $R$-representations of the $p$-adic group ${\rm GL}(n,\mathbf {Q}\sb p)$ over any algebraically closed field $R$ of characteristic not equal to $p$.
Citation
Marie-France Vignéras. "Schur algebras of reductive p-adic groups, I." Duke Math. J. 116 (1) 35 - 75, 15 January 2003. https://doi.org/10.1215/S0012-7094-03-11612-9
Information