The Local Langlands Correspondence
Creation of Admissible Representations
LocalComponent(M, p) : ModSym, RngIntElt -> RepLoc
Example RepLoc_creation-example (H139E1)
Attributes of Admissible Representations
CentralCharacter(pi) : RepLoc -> GrpDrchElt
Conductor(pi) : RepLoc -> RngIntElt
DefiningModularSymbolsSpace(pi) : RepLoc -> ModSym
IsMinimal(pi) : RepLoc -> BoolElt, GrpDrchElt, RepLoc
Example RepLoc_attributes-example (H139E2)
Structure of Admissible Representations
IsPrincipalSeries(pi) : RepLoc -> BoolElt
IsSupercuspidal(pi) : RepLoc -> BoolElt
PrincipalSeriesParameters(pi) : RepLoc -> GrpDrchElt, GrpDrchElt
CuspidalInducingDatum(pi) : RepLoc -> ModGrp
Local Galois Representations
GaloisRepresentation(pi) : RepLoc -> GrpPerm, Map, RngPad, ModGrp
AdmissiblePair(pi) : RepLoc -> RngPad, Map
Examples
Example RepLoc_example1 (H139E3)
Example RepLoc_example2 (H139E4)
Example RepLoc_example3 (H139E5)
Bibliography
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Mon Dec 17 14:40:36 EST 2012