repring.H

#ifndef _REPRING_H_
#define _REPRING_H_

#include "algebras.H"
#include "tables.H"
#include <string>
#include <sstream>
#include <fstream>
#include "my_gmp.H"
using namespace std;


class RepresentationRing : public AugmentedAlgebra<QQ> {
public:
  string base_field;
  map<long, long> schur_indices;
  map< long, Tuple< Polynomial<QQ> > > lambda_operations;
  RepresentationRing();
  // as usual, we need to rewrite the following
  Polynomial<QQ> new_variable(const string& name, const QQ& aug, long index);
  virtual void swap_variables_order(long i, long j, list< Polynomial<QQ> >& polys);
  virtual void swap_variables_order(long i, long j);
  virtual void kill_top_variable(const Polynomial<QQ>& replacement,list< Polynomial<QQ> >& polys);
  virtual void kill_top_variable(const Polynomial<QQ>& replacement);



  virtual long read_variables(ifstream& thefile, Tuple< Polynomial<QQ> >& thevars);

  bool read_from_GAP_file(const string& name);
  friend ostream& operator<<(ostream& os, const RepresentationRing& R);

};


class RealRepresentationRing : public RepresentationRing {
public:
  map< string, string > conjugates;



  RealRepresentationRing();

  virtual long read_variables(ifstream& thefile, Tuple< Polynomial<QQ> >& thevars);
  //  friend ostream& operator<<(ostream& os, const RealRepresentationRing& R);
};

#endif

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