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Class HeckeAlg_PGL_U

Object
  HeckeAlgebra
      HeckeAlg_PGL_U

public class HeckeAlg_PGL_U

extends HeckeAlgebra

The Hecke algebra H_Z(PGL_n(p), U).

Author:

Mark McConnell

Field Summary

Fields inherited from class HeckeAlgebra

dblCosetReps, dblCosets, GH

Constructor Summary

HeckeAlg_PGL_U(int n, int p)

Method Summary

static void	main(String[] args)
protected GroupElt[]	makeDblCosetReps() Returns an array of double-coset representatives for H\G/H.
protected Subgroup	makeSubgroup() Returns the subgroup (G, H).

Methods inherited from class HeckeAlgebra

getDblCosetCount, getDblCosetIndex, getDblCosetReps, getSubgroup, init

Methods inherited from class Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

HeckeAlg_PGL_U

public HeckeAlg_PGL_U(int n,
                      int p)

Method Detail

makeSubgroup

protected Subgroup makeSubgroup()

Description copied from class: HeckeAlgebra

Returns the subgroup (G, H). Will only be called once, by the constructor. To access the information, use HeckeAlgebra.getSubgroup() instead of this method.

Specified by:

makeSubgroup in class HeckeAlgebra

makeDblCosetReps

protected GroupElt[] makeDblCosetReps()

Description copied from class: HeckeAlgebra

Returns an array of double-coset representatives for H\G/H. These correspond to generators of the Hecke algebra as Z-module. Will only be called once, by the constructor. To access the information, use HeckeAlgebra.getDblCosetReps() instead of this method.

Specified by:

makeDblCosetReps in class HeckeAlgebra

main

public static void main(String[] args)