Geodesic
Parahoric Induction and Chamber Homology for SL2
Tyrone Crisp1
1Dept. of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen O, Denmark
Journal of Lie Theory, Tome 25 (2015) no. 3, pp. 657-676

Voir la notice de l'article provenant de la source Heldermann Verlag

We consider the special linear group G = SL2 over a p-adic field, and its diagonal torus M ≡ GL1. Parabolic induction of representations from M to G induces a map in equivariant homology, from the Bruhat-Tits building of M to that of G. We compute this map at the level of chain complexes, and show that it is given by parahoric induction (as defined by J.-F. Dat).
Classification : 22E50, 19D55
Mots-clés : Representations of p-adic reductive groups, parabolic induction, chamber homology

Tyrone Crisp  1

1 Dept. of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen O, Denmark 
Tyrone Crisp. Parahoric Induction and Chamber Homology for SL2. Journal of Lie Theory, Tome 25 (2015) no. 3, pp. 657-676. http://geodesic.mathdoc.fr/item/JOLT_2015_25_3_a1/
@article{JOLT_2015_25_3_a1,
     author = {Tyrone Crisp},
     title = {Parahoric {Induction} and {Chamber} {Homology} for {SL\protect\textsubscript{2}}},
     journal = {Journal of Lie Theory},
     pages = {657--676},
     year = {2015},
     volume = {25},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2015_25_3_a1/}
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