#include <cartanclass.h>

Collaboration diagram for atlas::cartanclass::Fiber:

Public Member Functions
	Fiber (const RootDatum &, const WeightInvolution &)

	Fiber (const Fiber &)

const tori::RealTorus &	torus () const

const WeightInvolution &	involution () const

size_t	plusRank () const

size_t	minusRank () const

const InvolutionData &	involution_data () const

const RootNbrSet &	complexRootSet () const

const RootNbrSet &	imaginaryRootSet () const

const RootNbrSet &	realRootSet () const

const RootNbrList &	simpleImaginary () const

const RootNbr	simpleImaginary (size_t i) const

size_t	imaginaryRank () const

const RootNbrList &	simpleReal () const

const RootNbr	simpleReal (size_t i) const

size_t	realRank () const

RootNbr	involution_image_of_root (RootNbr j) const

const SmallSubquotient &	fiberGroup () const

size_t	fiberRank () const

size_t	fiberSize () const

const SmallSubquotient &	adjointFiberGroup () const

size_t	adjointFiberRank () const

size_t	adjointFiberSize () const

RootNbrSet	compactRoots (AdjointFiberElt x) const

RootNbrSet	noncompactRoots (AdjointFiberElt x) const

Grading	grading (AdjointFiberElt x) const

AdjointFiberElt	gradingRep (const Grading &g) const

SmallBitVector	mAlpha (const rootdata::Root &) const

size_t	numRealForms () const

const Partition &	realFormPartition () const

square_class	central_square_class (adjoint_fiber_orbit wrf) const

AdjointFiberElt	class_base (square_class c) const

const Partition &	fiber_partition (square_class c) const

const StrongRealFormRep &	strongRealForm (adjoint_fiber_orbit wrf) const

BinaryMap	toAdjoint () const

AdjointFiberElt	toAdjoint (FiberElt) const

adjoint_fiber_orbit	toWeakReal (fiber_orbit c, square_class csc) const

const Partition &	weakReal () const

AdjointFiberElt	wrf_rep (adjoint_fiber_orbit wrf) const

adjoint_fiber_orbit	adjoint_orbit (AdjointFiberElt x) const

Private Member Functions
SmallSubquotient	makeFiberGroup () const

SmallSubquotient	makeAdjointFiberGroup (const RootSystem &) const

SmallSubspace	gradingGroup (const RootSystem &) const

Grading	makeBaseGrading (RootNbrSet &flagged_roots, const RootSystem &) const

GradingList	makeGradingShifts (std::vector< RootNbrSet > &all_shifts, const RootSystem &) const

RankFlagsList	adjointMAlphas (const RootSystem &) const

RankFlagsList	mAlphas (const RootDatum &) const

BinaryMap	makeFiberMap (const RootDatum &) const

Partition	makeWeakReal (const RootSystem &) const

Partition	makeRealFormPartition () const

std::vector< Partition >	makeStrongReal (const RootDatum &rd) const

std::vector< StrongRealFormRep >	makeStrongRepresentatives () const

Private Attributes
tori::RealTorus	d_torus

InvolutionData	d_involutionData

SmallSubquotient	d_fiberGroup

SmallSubquotient	d_adjointFiberGroup

RootNbrSet	d_baseNoncompact

Grading	d_baseGrading

std::vector< RootNbrSet >	d_noncompactShift

GradingList	d_gradingShift

BinaryMap	d_toAdjoint

Partition	d_weakReal

Partition	d_realFormPartition

std::vector< Partition >	d_strongReal

std::vector< StrongRealFormRep >	d_strongRealFormReps

Constructor & Destructor Documentation

atlas::cartanclass::Fiber::Fiber	(	const RootDatum &	rd,
		const WeightInvolution &	theta
	)

atlas::cartanclass::Fiber::Fiber ( const Fiber & other )

Member Function Documentation

adjoint_fiber_orbit atlas::cartanclass::Fiber::adjoint_orbit ( AdjointFiberElt x ) const

inline

const SmallSubquotient& atlas::cartanclass::Fiber::adjointFiberGroup ( ) const

inline

size_t atlas::cartanclass::Fiber::adjointFiberRank ( ) const

inline

size_t atlas::cartanclass::Fiber::adjointFiberSize ( ) const

inline

RankFlagsList atlas::cartanclass::Fiber::adjointMAlphas ( const RootSystem & rs ) const

private

square_class atlas::cartanclass::Fiber::central_square_class ( adjoint_fiber_orbit wrf ) const

inline

AdjointFiberElt atlas::cartanclass::Fiber::class_base ( square_class c ) const

inline

RootNbrSet atlas::cartanclass::Fiber::compactRoots ( AdjointFiberElt x ) const

const RootNbrSet& atlas::cartanclass::Fiber::complexRootSet ( ) const

inline

const Partition& atlas::cartanclass::Fiber::fiber_partition ( square_class c ) const

inline

const SmallSubquotient& atlas::cartanclass::Fiber::fiberGroup ( ) const

inline

size_t atlas::cartanclass::Fiber::fiberRank ( ) const

inline

size_t atlas::cartanclass::Fiber::fiberSize ( ) const

inline

Grading atlas::cartanclass::Fiber::grading ( AdjointFiberElt x ) const

SmallSubspace atlas::cartanclass::Fiber::gradingGroup ( const RootSystem & rs ) const

private

AdjointFiberElt atlas::cartanclass::Fiber::gradingRep ( const Grading & g ) const

size_t atlas::cartanclass::Fiber::imaginaryRank ( ) const

inline

const RootNbrSet& atlas::cartanclass::Fiber::imaginaryRootSet ( ) const

inline

const WeightInvolution& atlas::cartanclass::Fiber::involution ( ) const

inline

const InvolutionData& atlas::cartanclass::Fiber::involution_data ( ) const

inline

RootNbr atlas::cartanclass::Fiber::involution_image_of_root ( RootNbr j ) const

inline

SmallSubquotient atlas::cartanclass::Fiber::makeAdjointFiberGroup ( const RootSystem & rs ) const

private

Grading atlas::cartanclass::Fiber::makeBaseGrading	(	RootNbrSet &	flagged_roots,
		const RootSystem &	rs
	)		const

private

SmallSubquotient atlas::cartanclass::Fiber::makeFiberGroup ( ) const

private

BinaryMap atlas::cartanclass::Fiber::makeFiberMap ( const RootDatum & rd ) const

private

GradingList atlas::cartanclass::Fiber::makeGradingShifts	(	std::vector< RootNbrSet > &	all_shifts,
		const RootSystem &	rs
	)		const

private

Partition atlas::cartanclass::Fiber::makeRealFormPartition ( ) const

private

std::vector< Partition > atlas::cartanclass::Fiber::makeStrongReal ( const RootDatum & rd ) const

private

std::vector< StrongRealFormRep > atlas::cartanclass::Fiber::makeStrongRepresentatives ( ) const

private

Partition atlas::cartanclass::Fiber::makeWeakReal ( const RootSystem & rs ) const

private

SmallBitVector atlas::cartanclass::Fiber::mAlpha ( const rootdata::Root & cr ) const

RankFlagsList atlas::cartanclass::Fiber::mAlphas ( const RootDatum & rd ) const

private

size_t atlas::cartanclass::Fiber::minusRank ( ) const

inline

RootNbrSet atlas::cartanclass::Fiber::noncompactRoots ( AdjointFiberElt x ) const

size_t atlas::cartanclass::Fiber::numRealForms ( ) const

inline

size_t atlas::cartanclass::Fiber::plusRank ( ) const

inline

const Partition& atlas::cartanclass::Fiber::realFormPartition ( ) const

inline

size_t atlas::cartanclass::Fiber::realRank ( ) const

inline

const RootNbrSet& atlas::cartanclass::Fiber::realRootSet ( ) const

inline

const RootNbrList& atlas::cartanclass::Fiber::simpleImaginary ( ) const

inline

const RootNbr atlas::cartanclass::Fiber::simpleImaginary ( size_t i ) const

inline

const RootNbrList& atlas::cartanclass::Fiber::simpleReal ( ) const

inline

const RootNbr atlas::cartanclass::Fiber::simpleReal ( size_t i ) const

inline

const StrongRealFormRep& atlas::cartanclass::Fiber::strongRealForm ( adjoint_fiber_orbit wrf ) const

inline

BinaryMap atlas::cartanclass::Fiber::toAdjoint ( ) const

inline

AdjointFiberElt atlas::cartanclass::Fiber::toAdjoint ( FiberElt x ) const

const tori::RealTorus& atlas::cartanclass::Fiber::torus ( ) const

inline

adjoint_fiber_orbit atlas::cartanclass::Fiber::toWeakReal	(	fiber_orbit	c,
		square_class	csc
	)		const

const Partition& atlas::cartanclass::Fiber::weakReal ( ) const

inline

AdjointFiberElt atlas::cartanclass::Fiber::wrf_rep ( adjoint_fiber_orbit wrf ) const

inline

Member Data Documentation

SmallSubquotient atlas::cartanclass::Fiber::d_adjointFiberGroup

private

Grading atlas::cartanclass::Fiber::d_baseGrading

private

RootNbrSet atlas::cartanclass::Fiber::d_baseNoncompact

private

SmallSubquotient atlas::cartanclass::Fiber::d_fiberGroup

private

GradingList atlas::cartanclass::Fiber::d_gradingShift

private

InvolutionData atlas::cartanclass::Fiber::d_involutionData

private

std::vector<RootNbrSet> atlas::cartanclass::Fiber::d_noncompactShift

private

Partition atlas::cartanclass::Fiber::d_realFormPartition

private

std::vector<Partition> atlas::cartanclass::Fiber::d_strongReal

private

std::vector<StrongRealFormRep> atlas::cartanclass::Fiber::d_strongRealFormReps

private

BinaryMap atlas::cartanclass::Fiber::d_toAdjoint

private

tori::RealTorus atlas::cartanclass::Fiber::d_torus

private

Partition atlas::cartanclass::Fiber::d_weakReal

private

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

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

Public Member Functions

Private Member Functions

Private Attributes

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation