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We give some properties of parabolic inductions and their adjoint functors for pro-$p$-Iwahori Hecke algebras.
V. V. Deodhar, Some characterizations of Bruhat ordering on a Coxeter group and determination of the relative Möbius function , Invent. Math. 39
1977
Earlier work this paper cites.
R. Ollivier, Parabolic induction and Hecke modules in characteristic p p for p p -adic GL n {\rm GL}_{n} , Algebra Number Theory 4
2010
Earlier work this paper cites.
R. Ollivier, Compatibility between Satake and Bernstein isomorphisms in characteristic p p , Algebra Number Theory 8
2014
Earlier work this paper cites.
M.-F. Vignéras, The pro- p p -Iwahori-Hecke algebra of a reductive p p -adic group, II , Münster J. Math. 7
2014
Cited alongside, same era.
R. Ollivier, An inverse Satake isomorphism in characteristic p p , Selecta Math. (N.S.) 21
2015
Cited alongside, same era.
M.-F. Vignéras, The pro- p p -Iwahori Hecke algebra of a p p -adic group III , J. Inst. Math. Jussieu (2015), 1–38
2015
Cited alongside, same era.
N. Abe, G. Henniart, F. Herzig, and M.-F. Vigneras, A classification of irreducible admissible mod p p representations of p p -adic reductive groups , Journal of the AMS, DOI:10.1090/jams/862
Cited in the paper.
N. Abe, G. Henniart, and M.-F. Vignéras, Modulo p p representations of reductive p p -adic groups: functorial properties , in preparation
Cited in the paper.
N. Abe, F. Herzig, and M.-F. Vignéras, Change of weight and inverse Satake isomorphism , in preparation
Cited in the paper.
M.-F. Vignéras, The pro-p Iwahori Hecke algebra of a reductive p-adic group, V (parabolic induction) , Pacific J. Math. 279
2015
Later among the works it cites.
N. Abe, Modulo p p parabolic induction of pro- p p -Iwahori Hecke algebra , J. Reine Angew. Math., DOI:10.1515/crelle-2016-0043
2016
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2016
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