group.h File Reference

Group objects handling different possible symmetry groups. For now only semi-simple groups have representations and product of representations. More...

#include <memory>
#include "semiSimpleAlgebra.h"
#include "SU_N_algebra.h"
#include "representation.h"
#include "mrtError.h"

Go to the source code of this file.

Data Structures
class	mty::AbstractGroup
	Abstract base class for groups. More...
class	mty::SemiSimpleGroup
	Base class for all Semi simple groups, i.e. groups that has a SemiSimpleAlgebra. More...
class	mty::group::U1
	Abelian unitary group. mty::algebra::R is the associated SemiSimpleAlgebra. More...
class	mty::group::SU
	Special unitary group. The algebra of \( SU(N) \) is \( A_{N-1} \) , see mty::algebra::A. More...
class	mty::group::SO
	Special orthogonal group. The algebra of \( SO(N) \) is \( B_{(N-1)/2} \) if \( N \) is odd, \( D_{N/2} \) else. See mty::algebra::B and mty::algebra::D. More...
class	mty::group::Sp
	Simplectic group. The algebra of \( Sp(2N) \) is \( C_N \). See mty::algebra::C. More...
class	mty::group::E6
	Exceptional group of algebra \( E_6 \). See mty::algebra::E6. More...
class	mty::group::E7
	Exceptional group of algebra \( E_7 \). See mty::algebra::E7. More...
class	mty::group::E8
	Exceptional group of algebra \( E_8 \). See mty::algebra::E8. More...
class	mty::group::F4
	Exceptional group of algebra \( F_4 \). See mty::algebra::F4. More...
class	mty::group::G2
	Exceptional group of algebra \( G_2 \). See mty::algebra::G2. More...
class	mty::group::Lorentz
	Lorentz group. Algebra of Lorentz: \( D_2=A_1\oplus A_1 \). More...

Namespaces
	mty
	Namespace of MARTY.
	mty::group
	Namespace to avoid name conflicts for groups that can have very simple names. See algebra::Type for the same reason.

Typedefs
typedef class mty::AbstractGroup	mty::Group
	Abstract base class for groups. More...

Enumerations
enum	mty::group::Type {   mty::group::Type::Trivial,   mty::group::Type::O,   mty::group::Type::SO,   mty::group::Type::U1,   mty::group::Type::SU,   mty::group::Type::Sp,   mty::group::Type::E6,   mty::group::Type::E7,   mty::group::Type::E8,   mty::group::Type::F4,   mty::group::Type::G2,   mty::group::Type::Lorentz }
	Enumeration of types of semi simple Lie groups. The names being very small, we use a namespace to avoid conflicts. More...

Functions
std::ostream &	mty::group::operator<< (std::ostream &fout, mty::group::Type type)
	Overload of operator<< for group::Type::Type. Allows to display a string corresponding to the type of group instead of an integer. More...
std::unique_ptr< mty::SemiSimpleGroup >	mty::createGroup (group::Type type, std::string const &name, int dim=-1)
	Dynamically allocates a new group of type type and returns a pointer to it (in a std::unique_ptr). More...
std::unique_ptr< mty::SemiSimpleGroup >	mty::createGroup (group::Type type, int dim=-1)
	Dynamically allocates a new group of type type and returns a pointer to it (in a std::unique_ptr). More...
std::ostream &	mty::operator<< (std::ostream &fout, const AbstractGroup &obj)
	Overload of operator<< for AbstractGroup. Displays the type of the group and its dimension between brackets. More...
group::Type	mty::stringToGroupType (std::string const &name)
	Converts a string to a group type. Allows to read a group::Type in a file. More...

Variables
mty::group::Lorentz *	mty::Lorentz = new mty::group::Lorentz()
	Global variable. Lorentz group in the form of a raw pointer to an AbstractGroup. This variable should be used whereever the Lorentz group is used in the program.

Detailed Description

Group objects handling different possible symmetry groups. For now only semi-simple groups have representations and product of representations.

Author

Gregoire Uhlrich

Version

1.3