Enumeration of types of semi simple Lie algebras. The names being very small, we use a namespace to avoid conflicts. More...

Data Structures
class	A
	Semi-simple Lie algebra A(l) == su(l+1). More...

class	B
	Semi-simple Lie algebra B(l) == so(2l+1). More...

class	C
	Semi-simple Lie algebra C(l) == sp(2l). More...

class	D
	Semi-simple Lie algebra D(l) == so(2l). More...

class	E6
	Exceptional semi-simple Lie algebra E6. More...

class	E7
	Exceptional semi-simple Lie algebra E7. More...

class	E8
	Exceptional semi-simple Lie algebra E8. More...

class	F4
	Exceptional semi-simple Lie algebra F4. More...

class	G2
	Exceptional semi-simple Lie algebra G2. More...

class	R
	Algebra (R, +) of the U(1) group. More...

Enumerations
enum	Type { Type::R, Type::A, Type::B, Type::C, Type::D, Type::E6, Type::E7, Type::E8, Type::F4, Type::G2 }
	Different types of semi-simple Lie algebras. More...

Functions
std::ostream &	operator<< (std::ostream &fout, mty::algebra::Type obj)
	Overload of operator<< for algebra::Type. Allows to display a string corresponding to the type of algebra instead of an integer. More...

ostream &	operator<< (ostream &fout, mty::algebra::Type obj)

Detailed Description

Enumeration of types of semi simple Lie algebras. The names being very small, we use a namespace to avoid conflicts.

Namespace to avoid name conflicts for semi-simple algebras that have very simple names. See algebra::Type for the same reason.

Enumeration Type Documentation

strong

Different types of semi-simple Lie algebras.

Enumerator
R	Algebra of the \(U(1)\) group.
A	Algebra \( A_l \) of \(SU(l+1)\) groups.
B	Algebra \( B_l \) of \(SO(2l+1)\) groups.
C	Algebra \( C_l \) of \(Sp(2l)\) groups.
D	Algebra \( D_l \) of \(SO(2l)\) groups.
E6	Exceptionnal semi-simple algebra \(E_6\).
E7	Exceptionnal semi-simple algebra \(E_7\).
E8	Exceptionnal semi-simple algebra \(E_8\).
F4	Exceptionnal semi-simple algebra \(F_4\).
G2	Exceptionnal semi-simple algebra \(G_2\).

std::ostream& mty::algebra::operator<<	(	std::ostream &	fout,
		mty::algebra::Type	obj
	)

Overload of operator<< for algebra::Type. Allows to display a string corresponding to the type of algebra instead of an integer.

Parameters

fout	Output flux.
obj	Type to display.