About
Calculator
Ordering
FAQ
Download
Documentation
Citations
Conferences
Links
Contact
CAG
Login
Magma
Computer • algebra
Documentation
Up
Contents
Index
Search
Introduction
Motivation
Definitions
The Principal Series
Supercuspidal Representations
The Local Langlands Correspondence
Connection with Modular Forms
Category
Verbose Output
Creation of Admissible Representations
LocalComponent(M, p) : ModSym, RngIntElt -> RepLoc
Example
RepLoc_creation-example (H148E1)
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 (H148E2)
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 -> GalRep
AdmissiblePair(pi) : RepLoc -> RngPad, Map
Examples
Example
RepLoc_example1 (H148E3)
Example
RepLoc_example2 (H148E4)
Example
RepLoc_example3 (H148E5)
Bibliography
Up
Contents
Index
Search
V2.28, 13 July 2023