atlas::realredgp::RealReductiveGroup Class Reference

#include <realredgp.h>

Collaboration diagram for atlas::realredgp::RealReductiveGroup:

Public Member Functions
	RealReductiveGroup (InnerClass &, RealFormNbr)
	RealReductiveGroup (InnerClass &, RealFormNbr, const RatCoweight &coch, TorusPart x0_torus_part)
	~RealReductiveGroup ()
const InnerClass &	innerClass () const
const InnerClass &	cinnerClass () const
RealFormNbr	realForm () const
const RootDatum &	rootDatum () const
const TitsCoset &	basedTitsGroup () const
const TitsGroup &	titsGroup () const
const WeylGroup &	weylGroup () const
const TwistedWeylGroup &	twistedWeylGroup () const
BitMap	Cartan_set () const
const CartanClass &	cartan (size_t cn) const
TorusPart	x0_torus_part () const
RatCoweight	g () const
RatCoweight	g_rho_check () const
Grading	base_grading () const
bool	isConnected () const
bool	isCompact () const
bool	isQuasisplit () const
bool	isSplit () const
bool	isSemisimple () const
size_t	numCartan () const
size_t	rank () const
size_t	semisimpleRank () const
size_t	numInvolutions ()
size_t	KGB_size () const
size_t	mostSplit () const
Grading	grading_offset ()
const size_t	component_rank () const
const SmallBitVectorList &	dualComponentReps () const
const WeightInvolution &	distinguished () const
RootNbrSet	noncompactRoots () const
void	swap (RealReductiveGroup &)
InnerClass &	innerClass ()
const KGB &	kgb ()
const KGB &	kgb_as_dual ()
const BruhatOrder &	Bruhat_KGB ()

Private Types
enum	StatusFlagNames {   IsConnected, IsCompact, IsQuasisplit, IsSplit,   IsSemisimple, NumStatusFlags }
typedef BitSet< NumStatusFlags >	Status

Private Member Functions
void	construct ()

Private Attributes
InnerClass &	d_innerClass
RealFormNbr	d_realForm
topology::Connectivity	d_connectivity
RatCoweight	square_class_cocharacter
TorusPart	torus_part_x0
const TitsCoset *	d_Tg
KGB *	kgb_ptr
KGB *	dual_kgb_ptr
Status	d_status

Member Typedef Documentation

typedef BitSet<NumStatusFlags> atlas::realredgp::RealReductiveGroup::Status

private

Member Enumeration Documentation

enum atlas::realredgp::RealReductiveGroup::StatusFlagNames

private

Enumerator
IsConnected
IsCompact
IsQuasisplit
IsSplit
IsSemisimple
NumStatusFlags

Constructor & Destructor Documentation

atlas::realredgp::RealReductiveGroup::RealReductiveGroup	(	InnerClass &	G_C,
		RealFormNbr	rf
	)

Synopsis : constructs a real reductive group from the datum of a complex reductive group and a real form.

atlas::realredgp::RealReductiveGroup::RealReductiveGroup	(	InnerClass &	G_C,
		RealFormNbr	rf,
		const RatCoweight &	coch,
		TorusPart	x0_torus_part
	)

atlas::realredgp::RealReductiveGroup::~RealReductiveGroup

(

)

Member Function Documentation

Grading atlas::realredgp::RealReductiveGroup::base_grading

(

)

const

const TitsCoset& atlas::realredgp::RealReductiveGroup::basedTitsGroup ( ) const

inline

const BruhatOrder & atlas::realredgp::RealReductiveGroup::Bruhat_KGB

(

)

const CartanClass & atlas::realredgp::RealReductiveGroup::cartan

(

size_t

cn

)

const

BitMap atlas::realredgp::RealReductiveGroup::Cartan_set

(

)

const

const InnerClass& atlas::realredgp::RealReductiveGroup::cinnerClass ( ) const

inline

const size_t atlas::realredgp::RealReductiveGroup::component_rank

(

)

const

void atlas::realredgp::RealReductiveGroup::construct ( )

private

const WeightInvolution & atlas::realredgp::RealReductiveGroup::distinguished

(

)

const

const SmallBitVectorList & atlas::realredgp::RealReductiveGroup::dualComponentReps

(

)

const

RatCoweight atlas::realredgp::RealReductiveGroup::g

(

)

const

RatCoweight atlas::realredgp::RealReductiveGroup::g_rho_check ( ) const

inline

Grading atlas::realredgp::RealReductiveGroup::grading_offset

(

)

const InnerClass& atlas::realredgp::RealReductiveGroup::innerClass ( ) const

inline

InnerClass& atlas::realredgp::RealReductiveGroup::innerClass ( )

inline

bool atlas::realredgp::RealReductiveGroup::isCompact ( ) const

inline

bool atlas::realredgp::RealReductiveGroup::isConnected ( ) const

inline

bool atlas::realredgp::RealReductiveGroup::isQuasisplit ( ) const

inline

bool atlas::realredgp::RealReductiveGroup::isSemisimple

(

)

const

bool atlas::realredgp::RealReductiveGroup::isSplit ( ) const

inline

const KGB & atlas::realredgp::RealReductiveGroup::kgb

(

)

const KGB & atlas::realredgp::RealReductiveGroup::kgb_as_dual

(

)

size_t atlas::realredgp::RealReductiveGroup::KGB_size

(

)

const

size_t atlas::realredgp::RealReductiveGroup::mostSplit

(

)

const

RootNbrSet atlas::realredgp::RealReductiveGroup::noncompactRoots

(

)

const

size_t atlas::realredgp::RealReductiveGroup::numCartan

(

)

const

size_t atlas::realredgp::RealReductiveGroup::numInvolutions

(

)

size_t atlas::realredgp::RealReductiveGroup::rank

(

)

const

RealFormNbr atlas::realredgp::RealReductiveGroup::realForm ( ) const

inline

const RootDatum & atlas::realredgp::RealReductiveGroup::rootDatum

(

)

const

size_t atlas::realredgp::RealReductiveGroup::semisimpleRank

(

)

const

void atlas::realredgp::RealReductiveGroup::swap

(

RealReductiveGroup &

other

)

const TitsGroup & atlas::realredgp::RealReductiveGroup::titsGroup

(

)

const

const TwistedWeylGroup & atlas::realredgp::RealReductiveGroup::twistedWeylGroup

(

)

const

const WeylGroup & atlas::realredgp::RealReductiveGroup::weylGroup

(

)

const

TorusPart atlas::realredgp::RealReductiveGroup::x0_torus_part ( ) const

inline

Member Data Documentation

topology::Connectivity atlas::realredgp::RealReductiveGroup::d_connectivity

private

InnerClass& atlas::realredgp::RealReductiveGroup::d_innerClass

private

RealFormNbr atlas::realredgp::RealReductiveGroup::d_realForm

private

Status atlas::realredgp::RealReductiveGroup::d_status

private

const TitsCoset* atlas::realredgp::RealReductiveGroup::d_Tg

private

KGB* atlas::realredgp::RealReductiveGroup::dual_kgb_ptr

private

KGB* atlas::realredgp::RealReductiveGroup::kgb_ptr

private

RatCoweight atlas::realredgp::RealReductiveGroup::square_class_cocharacter

private

TorusPart atlas::realredgp::RealReductiveGroup::torus_part_x0

private

---

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

• /home/ran/atlas_project/latest_branch_07182016/sources/structure/realredgp.h
• /home/ran/atlas_project/latest_branch_07182016/sources/structure/realredgp.cpp