#include <innerclass.h>

Collaboration diagram for atlas::innerclass::InnerClass:

Classes
struct	C_info

Public Member Functions
	InnerClass (const PreRootDatum &, const WeightInvolution &)

	InnerClass (const RootDatum &, const WeightInvolution &)

	InnerClass (const InnerClass &, tags::DualTag)

	InnerClass (const InnerClass &)=delete

InnerClass &	operator= (const InnerClass &)=delete

void	swap (InnerClass &G)=delete

	~InnerClass ()

const RootDatum &	rootDatum () const

const RootDatum &	dualRootDatum () const

const RootSystem &	rootSystem () const

const RootSystem &	dualRootSystem () const

size_t	rank () const

size_t	semisimpleRank () const

const WeylGroup &	weylGroup () const

const TwistedWeylGroup &	twistedWeylGroup () const

const TwistedWeylGroup &	dualTwistedWeylGroup () const

const TitsGroup &	titsGroup () const

const TitsGroup &	dualTitsGroup () const

const Cartan_orbits &	involution_table () const

Permutation	simple_twist () const

RankFlags	simple_roots_imaginary () const

RankFlags	simple_roots_real () const

const Permutation &	root_involution () const

RootNbr	twisted_root (RootNbr alpha) const

const poset::Poset &	Cartan_ordering () const

const WeightInvolution &	distinguished () const

const CoweightInvolution &	dualDistinguished () const

CartanNbr	numCartanClasses () const

RealFormNbr	numRealForms () const

RealFormNbr	numDualRealForms () const

InvolutionNbr	numInvolutions () const

unsigned long	global_KGB_size () const

RealFormNbr	quasisplit () const

RealFormNbr	numRealForms (CartanNbr cn) const

RealFormNbr	numDualRealForms (CartanNbr cn) const

const BitMap &	real_forms (CartanNbr cn) const

const BitMap &	dual_real_forms (CartanNbr cn) const

const TwistedInvolution &	involution_of_Cartan (CartanNbr cn) const

const CartanClass &	cartan (CartanNbr cn) const

InvolutionNbr	numInvolutions (const BitMap &Cartan_classes) const

BitMap	Cartan_set (RealFormNbr rf) const

BitMap	dual_Cartan_set (RealFormNbr drf) const

CartanNbr	mostSplit (RealFormNbr rf) const

RootNbrSet	noncompactRoots (RealFormNbr rf) const

RootNbrSet	parity_coroots (RealFormNbr drf) const

unsigned long	KGB_size (RealFormNbr rf) const

unsigned long	KGB_size (RealFormNbr rf, const BitMap &Cartan_classes) const

RankFlags	simple_roots_x0_compact (RealFormNbr rf) const

cartanclass::square_class	xi_square (RealFormNbr rf) const

RealFormNbr	square_class_repr (cartanclass::square_class csc) const

TorusPart	x0_torus_part (RealFormNbr rf) const

containers::sl_list< TorusPart >	central_fiber (RealFormNbr rf) const

unsigned long	block_size (RealFormNbr rf, RealFormNbr drf) const

unsigned long	block_size (RealFormNbr rf, RealFormNbr drf, const BitMap &Cartan_classes) const

cartanclass::StrongRealFormRep	sample_strong_form (RealFormNbr rf) const

unsigned long	fundamental_fiber_size () const

const Partition &	fundamental_fiber_partition (cartanclass::square_class csc) const

TorusPart	lift_from_fundamental_fiber (unsigned long x) const

cartanclass::FiberElt	to_fundamental_fiber (TorusPart t) const

containers::sl_list< TorusPart >	torus_parts_for_grading_shift (const cartanclass::square_class csc, const cartanclass::FiberElt y, const cartanclass::AdjointFiberElt image) const

const Partition &	weak_real_partition () const

const Partition &	dual_weak_real_partition () const

unsigned long	fiberSize (RealFormNbr rf, CartanNbr cn) const

unsigned long	dualFiberSize (RealFormNbr drf, CartanNbr cn) const
	Returns the size of the dual fiber orbits corresponding to the dual strong real forms lying over dual real form #rf, in Cartan #cn. More...

const RealFormNbrList &	realFormLabels (CartanNbr cn) const

const RealFormNbrList &	dualRealFormLabels (CartanNbr cn) const

cartanclass::adjoint_fiber_orbit	real_form_part (RealFormNbr rf, CartanNbr cn) const

cartanclass::adjoint_fiber_orbit	dual_real_form_part (RealFormNbr drf, CartanNbr cn) const

cartanclass::AdjointFiberElt	representative (RealFormNbr rf, CartanNbr cn) const

cartanclass::AdjointFiberElt	dualRepresentative (RealFormNbr drf, CartanNbr cn) const

CartanNbr	class_number (TwistedInvolution) const
	find number of Cartan class containing twisted involution \|sigma\| More...

Weight	posRealRootSum (const TwistedInvolution &) const

Weight	posImaginaryRootSum (const TwistedInvolution &) const

const WeightInvolution &	matrix (const TwistedInvolution &tw) const

WeightInvolution	compute_matrix (const TwistedInvolution &tw) const

InvolutionData	involution_data (const TwistedInvolution &tw) const

WeylWord	canonicalize (TwistedInvolution &sigma, RankFlags gens) const

WeylWord	canonicalize (TwistedInvolution &sigma) const

void	generate_Cartan_orbit (CartanNbr i)

Private Member Functions
void	construct ()

TorusPart	grading_shift_repr (Grading diff) const

bool	is_defined (RealFormNbr rf, CartanNbr cn) const

TorusPart	sample_torus_part (CartanNbr cn, RealFormNbr rf) const

TorusPart	dual_sample_torus_part (CartanNbr cn, RealFormNbr drf) const

void	map_real_forms (CartanNbr cn)

void	map_dual_real_forms (CartanNbr cn)

Private Attributes
const RootDatum	d_rootDatum

const RootDatum	d_dualRootDatum

const WeylGroup *	my_W

const WeylGroup &	W

Fiber	d_fundamental

Fiber	d_dualFundamental

const TitsGroup	d_titsGroup

const TitsGroup	d_dualTitsGroup

const Permutation	root_twist

std::vector< C_info >	Cartan

poset::Poset	Cartan_poset

std::vector< CartanNbr >	d_mostSplit

Cartan_orbits	C_orb

Constructor & Destructor Documentation

atlas::innerclass::InnerClass::InnerClass	(	const PreRootDatum &	prd,
		const WeightInvolution &	tmp_d
	)

atlas::innerclass::InnerClass::InnerClass	(	const RootDatum &	rd,
		const WeightInvolution &	tmp_d
	)

atlas::innerclass::InnerClass::InnerClass	(	const InnerClass &	G,
		tags::DualTag
	)

atlas::innerclass::InnerClass::InnerClass ( const InnerClass & )

delete

atlas::innerclass::InnerClass::~InnerClass ( )

Member Function Documentation

unsigned long atlas::innerclass::InnerClass::block_size	(	RealFormNbr	rf,
		RealFormNbr	drf
	)		const

inline

unsigned long atlas::innerclass::InnerClass::block_size	(	RealFormNbr	rf,
		RealFormNbr	drf,
		const BitMap &	Cartan_classes
	)		const

WeylWord atlas::innerclass::InnerClass::canonicalize	(	TwistedInvolution &	sigma,
		RankFlags	gens
	)		const

WeylWord atlas::innerclass::InnerClass::canonicalize ( TwistedInvolution & sigma ) const

inline

const CartanClass& atlas::innerclass::InnerClass::cartan ( CartanNbr cn ) const

inline

const poset::Poset& atlas::innerclass::InnerClass::Cartan_ordering ( ) const

inline

BitMap atlas::innerclass::InnerClass::Cartan_set ( RealFormNbr rf ) const

containers::sl_list< TorusPart > atlas::innerclass::InnerClass::central_fiber ( RealFormNbr rf ) const

CartanNbr atlas::innerclass::InnerClass::class_number ( TwistedInvolution sigma ) const

find number of Cartan class containing twisted involution |sigma|

WeightInvolution atlas::innerclass::InnerClass::compute_matrix ( const TwistedInvolution & tw ) const

void atlas::innerclass::InnerClass::construct ( )

private

const WeightInvolution& atlas::innerclass::InnerClass::distinguished ( ) const

inline

BitMap atlas::innerclass::InnerClass::dual_Cartan_set ( RealFormNbr drf ) const

cartanclass::adjoint_fiber_orbit atlas::innerclass::InnerClass::dual_real_form_part	(	RealFormNbr	drf,
		CartanNbr	cn
	)		const

inline

const BitMap& atlas::innerclass::InnerClass::dual_real_forms ( CartanNbr cn ) const

inline

TorusPart atlas::innerclass::InnerClass::dual_sample_torus_part	(	CartanNbr	cn,
		RealFormNbr	drf
	)		const

inlineprivate

const Partition& atlas::innerclass::InnerClass::dual_weak_real_partition ( ) const

inline

const CoweightInvolution& atlas::innerclass::InnerClass::dualDistinguished ( ) const

inline

unsigned long atlas::innerclass::InnerClass::dualFiberSize	(	RealFormNbr	rf,
		CartanNbr	cn
	)		const

Returns the size of the dual fiber orbits corresponding to the dual strong real forms lying over dual real form #rf, in Cartan #cn.

Precondition: real form #rf is defined for cartan #cn.

const RealFormNbrList& atlas::innerclass::InnerClass::dualRealFormLabels ( CartanNbr cn ) const

inline

cartanclass::AdjointFiberElt atlas::innerclass::InnerClass::dualRepresentative	(	RealFormNbr	drf,
		CartanNbr	cn
	)		const

inline

const RootDatum& atlas::innerclass::InnerClass::dualRootDatum ( ) const

inline

const RootSystem& atlas::innerclass::InnerClass::dualRootSystem ( ) const

inline

const TitsGroup& atlas::innerclass::InnerClass::dualTitsGroup ( ) const

inline

const TwistedWeylGroup& atlas::innerclass::InnerClass::dualTwistedWeylGroup ( ) const

inline

unsigned long atlas::innerclass::InnerClass::fiberSize	(	RealFormNbr	rf,
		CartanNbr	cn
	)		const

const Partition& atlas::innerclass::InnerClass::fundamental_fiber_partition ( cartanclass::square_class csc ) const

inline

unsigned long atlas::innerclass::InnerClass::fundamental_fiber_size ( ) const

inline

void atlas::innerclass::InnerClass::generate_Cartan_orbit ( CartanNbr i )

inline

unsigned long atlas::innerclass::InnerClass::global_KGB_size ( ) const

TorusPart atlas::innerclass::InnerClass::grading_shift_repr ( Grading diff ) const

private

InvolutionData atlas::innerclass::InnerClass::involution_data ( const TwistedInvolution & tw ) const

inline

const TwistedInvolution& atlas::innerclass::InnerClass::involution_of_Cartan ( CartanNbr cn ) const

inline

const Cartan_orbits& atlas::innerclass::InnerClass::involution_table ( ) const

inline

bool atlas::innerclass::InnerClass::is_defined	(	RealFormNbr	rf,
		CartanNbr	cn
	)		const

inlineprivate

unsigned long atlas::innerclass::InnerClass::KGB_size ( RealFormNbr rf ) const

inline

unsigned long atlas::innerclass::InnerClass::KGB_size	(	RealFormNbr	rf,
		const BitMap &	Cartan_classes
	)		const

TorusPart atlas::innerclass::InnerClass::lift_from_fundamental_fiber ( unsigned long x ) const

inline

void atlas::innerclass::InnerClass::map_dual_real_forms ( CartanNbr cn )

private

void atlas::innerclass::InnerClass::map_real_forms ( CartanNbr cn )

private

const WeightInvolution& atlas::innerclass::InnerClass::matrix ( const TwistedInvolution & tw ) const

inline

CartanNbr atlas::innerclass::InnerClass::mostSplit ( RealFormNbr rf ) const

inline

RootNbrSet atlas::innerclass::InnerClass::noncompactRoots ( RealFormNbr rf ) const

inline

CartanNbr atlas::innerclass::InnerClass::numCartanClasses ( ) const

inline

RealFormNbr atlas::innerclass::InnerClass::numDualRealForms ( ) const

inline

RealFormNbr atlas::innerclass::InnerClass::numDualRealForms ( CartanNbr cn ) const

inline

InvolutionNbr atlas::innerclass::InnerClass::numInvolutions ( ) const

InvolutionNbr atlas::innerclass::InnerClass::numInvolutions ( const BitMap & Cartan_classes ) const

RealFormNbr atlas::innerclass::InnerClass::numRealForms ( ) const

inline

RealFormNbr atlas::innerclass::InnerClass::numRealForms ( CartanNbr cn ) const

inline

InnerClass& atlas::innerclass::InnerClass::operator= ( const InnerClass & )

delete

RootNbrSet atlas::innerclass::InnerClass::parity_coroots ( RealFormNbr drf ) const

inline

Weight atlas::innerclass::InnerClass::posImaginaryRootSum ( const TwistedInvolution & tw ) const

Weight atlas::innerclass::InnerClass::posRealRootSum ( const TwistedInvolution & tw ) const

RealFormNbr atlas::innerclass::InnerClass::quasisplit ( ) const

inline

size_t atlas::innerclass::InnerClass::rank ( ) const

inline

cartanclass::adjoint_fiber_orbit atlas::innerclass::InnerClass::real_form_part	(	RealFormNbr	rf,
		CartanNbr	cn
	)		const

inline

const BitMap& atlas::innerclass::InnerClass::real_forms ( CartanNbr cn ) const

inline

const RealFormNbrList& atlas::innerclass::InnerClass::realFormLabels ( CartanNbr cn ) const

inline

cartanclass::AdjointFiberElt atlas::innerclass::InnerClass::representative	(	RealFormNbr	rf,
		CartanNbr	cn
	)		const

inline

const Permutation& atlas::innerclass::InnerClass::root_involution ( ) const

inline

const RootDatum& atlas::innerclass::InnerClass::rootDatum ( ) const

inline

const RootSystem& atlas::innerclass::InnerClass::rootSystem ( ) const

inline

cartanclass::StrongRealFormRep atlas::innerclass::InnerClass::sample_strong_form ( RealFormNbr rf ) const

inline

TorusPart atlas::innerclass::InnerClass::sample_torus_part	(	CartanNbr	cn,
		RealFormNbr	rf
	)		const

inlineprivate

size_t atlas::innerclass::InnerClass::semisimpleRank ( ) const

inline

RankFlags atlas::innerclass::InnerClass::simple_roots_imaginary ( ) const

RankFlags atlas::innerclass::InnerClass::simple_roots_real ( ) const

Grading atlas::innerclass::InnerClass::simple_roots_x0_compact ( RealFormNbr rf ) const

Permutation atlas::innerclass::InnerClass::simple_twist ( ) const

inline

RealFormNbr atlas::innerclass::InnerClass::square_class_repr ( cartanclass::square_class csc ) const

void atlas::innerclass::InnerClass::swap ( InnerClass & G )

delete

const TitsGroup& atlas::innerclass::InnerClass::titsGroup ( ) const

inline

cartanclass::FiberElt atlas::innerclass::InnerClass::to_fundamental_fiber ( TorusPart t ) const

inline

containers::sl_list< TorusPart > atlas::innerclass::InnerClass::torus_parts_for_grading_shift	(	const cartanclass::square_class	csc,
		const cartanclass::FiberElt	y,
		const cartanclass::AdjointFiberElt	image
	)		const

RootNbr atlas::innerclass::InnerClass::twisted_root ( RootNbr alpha ) const

inline

const TwistedWeylGroup& atlas::innerclass::InnerClass::twistedWeylGroup ( ) const

inline

const Partition& atlas::innerclass::InnerClass::weak_real_partition ( ) const

inline

const WeylGroup& atlas::innerclass::InnerClass::weylGroup ( ) const

inline

TorusPart atlas::innerclass::InnerClass::x0_torus_part ( RealFormNbr rf ) const

cartanclass::square_class atlas::innerclass::InnerClass::xi_square ( RealFormNbr rf ) const

Member Data Documentation

Cartan_orbits atlas::innerclass::InnerClass::C_orb

private

std::vector<C_info> atlas::innerclass::InnerClass::Cartan

private

poset::Poset atlas::innerclass::InnerClass::Cartan_poset

private

Fiber atlas::innerclass::InnerClass::d_dualFundamental

private

const RootDatum atlas::innerclass::InnerClass::d_dualRootDatum

private

const TitsGroup atlas::innerclass::InnerClass::d_dualTitsGroup

private

Fiber atlas::innerclass::InnerClass::d_fundamental

private

std::vector<CartanNbr> atlas::innerclass::InnerClass::d_mostSplit

private

const RootDatum atlas::innerclass::InnerClass::d_rootDatum

private

const TitsGroup atlas::innerclass::InnerClass::d_titsGroup

private

const WeylGroup* atlas::innerclass::InnerClass::my_W

private

const Permutation atlas::innerclass::InnerClass::root_twist

private

const WeylGroup& atlas::innerclass::InnerClass::W

private

The documentation for this class was generated from the following files:

/home/ran/atlas_project/latest_branch_07182016/sources/structure/innerclass.h
/home/ran/atlas_project/latest_branch_07182016/sources/structure/innerclass.cpp

Classes

Public Member Functions

Private Member Functions

Private Attributes

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation