Noriyuki Abe
Published 2014-06-04, updated 2015-12-26Version 2
We study the structure of parabolic inductions of a pro-$p$-Iwahori Hecke algebra. In particular, we give a classification of irreducible modulo $p$ representations of pro-$p$-Iwahori Hecke algebra in terms of supersingular representations. Since supersingular representations are classified by Ollivier and Vigneras, it completes the classification of irreducible modulo $p$ representations.
On a classification of irreducible admissible modulo $p$ representations of a $p$-adic split reductive group
On the equations and classification of toric quiver varieties
The classification of the cyclic $\mathfrak{sl}(n+1)\ltimes \mathbbm{C}^{n+1}$--modules
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