atlas::abelian Namespace Reference

Classes
class	FiniteAbelianGroup
class	Homomorphism
Typedefs
typedef matrix::Matrix< unsigned long >	Endomorphism
typedef unsigned long	GrpNbr
typedef std::vector< GrpNbr >	GrpNbrList
typedef std::vector< unsigned long >	GrpArr
typedef std::vector< GrpArr >	GrpArrList
typedef std::vector< unsigned long >	GroupType
typedef matrix::Matrix< unsigned long >	Endomorphism
Functions
void	basis (latticetypes::WeightList &b, const bitmap::BitMap &B, const FiniteAbelianGroup &A)
void	coset (bitmap::BitMap &C, const bitmap::BitMap &B, GrpNbr x, const FiniteAbelianGroup &A)
const bitmap::BitMap &	cycGenerators (const FiniteAbelianGroup &A)
void	generateSubgroup (bitmap::BitMap &B, GrpNbr x, const FiniteAbelianGroup &A)
void	generators (GrpNbrList &gen, const bitmap::BitMap &B, const FiniteAbelianGroup &A)
bool	isElementaryAbelian (const std::vector< unsigned long > &c)
void	quotReps (bitmap::BitMap &qr, const bitmap::BitMap &B, const FiniteAbelianGroup &A)
void	toArray (GrpArr &a, GrpNbr x, const GroupType &t)
void	toArray (GrpArr &a, const latticetypes::Weight &v, const GroupType &t)
void	toEndomorphism (Endomorphism &e, const latticetypes::LatticeMatrix &q, const FiniteAbelianGroup &A)
GrpNbr	toGrpNbr (const GrpArr &a, const GroupType &t)
void	transpose (Endomorphism &e, const FiniteAbelianGroup &A)

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Typedef Documentation

typedef matrix::Matrix<unsigned long> atlas::abelian::Endomorphism

typedef matrix::Matrix<unsigned long> atlas::abelian::Endomorphism

typedef std::vector<unsigned long> atlas::abelian::GroupType

typedef std::vector<unsigned long> atlas::abelian::GrpArr

typedef std::vector<GrpArr> atlas::abelian::GrpArrList

typedef unsigned long atlas::abelian::GrpNbr

typedef std::vector<GrpNbr> atlas::abelian::GrpNbrList

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Function Documentation

void atlas::abelian::basis (  latticetypes::WeightList &  b, const bitmap::BitMap &  B, const FiniteAbelianGroup &  A )

void atlas::abelian::coset (  bitmap::BitMap &  C, const bitmap::BitMap &  B, GrpNbr  x, const FiniteAbelianGroup &  A )

const bitmap::BitMap & atlas::abelian::cycGenerators (  const FiniteAbelianGroup &  A  )

void atlas::abelian::generateSubgroup (  bitmap::BitMap &  B, GrpNbr  x, const FiniteAbelianGroup &  A )

void atlas::abelian::generators (  GrpNbrList &  gen, const bitmap::BitMap &  B, const FiniteAbelianGroup &  A )

bool atlas::abelian::isElementaryAbelian (  const std::vector< unsigned long > &  c  )

void atlas::abelian::quotReps (  bitmap::BitMap &  qr, const bitmap::BitMap &  B, const FiniteAbelianGroup &  A )

void atlas::abelian::toArray (  GrpArr &  a, const latticetypes::Weight &  v, const GroupType &  t )

void atlas::abelian::toArray (  GrpArr &  a, GrpNbr  x, const GroupType &  t )

void atlas::abelian::toEndomorphism (  Endomorphism &  e, const latticetypes::LatticeMatrix &  q, const FiniteAbelianGroup &  A )

GrpNbr atlas::abelian::toGrpNbr (  const GrpArr &  a, const GroupType &  t )

void atlas::abelian::transpose (  Endomorphism &  e, const FiniteAbelianGroup &  A )

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