# Pro-p-Iwahori invariants for SL_2 and L-packets of Hecke modules

@article{Kozio2013PropIwahoriIF,
title={Pro-p-Iwahori invariants for SL\_2 and L-packets of Hecke modules},
author={Karol Kozioł},
journal={arXiv: Representation Theory},
year={2013}
}
• K. Kozioł
• Published 28 August 2013
• Mathematics
• arXiv: Representation Theory
Let p be a prime number, and F a nonarchimedean local field of residual characteristic p. We explore the interaction between the pro-p-Iwahori-Hecke algebras of the group GL_n(F) and its derived subgroup SL_n(F). Using the interplay between these two algebras, we deduce two main results. The first is an equivalence of categories between Hecke modules in characteristic p over the pro-p-Iwahori-Hecke algebra of SL_2(Q_p) and smooth mod-p representations of SL_2(Q_p) generated by their pro-p…
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