#include <repr.h>

Inheritance diagram for atlas::repr::Rep_context:

Collaboration diagram for atlas::repr::Rep_context:

Classes
class	compare

Public Types
typedef Free_Abelian< StandardRepr, Split_integer, compare >	poly

Public Member Functions
	Rep_context (RealReductiveGroup &G)

RealReductiveGroup &	realGroup () const

const InnerClass &	innerClass () const

const RootDatum &	rootDatum () const

const WeylGroup &	weylGroup () const

const TwistedWeylGroup &	twistedWeylGroup () const

const TitsGroup &	titsGroup () const

const TitsCoset &	basedTitsGroup () const

const KGB &	kgb () const

size_t	rank () const

const TwistedInvolution	involution_of_Cartan (size_t cn) const

RatWeight	gamma (KGBElt x, const Weight &lambda_rho, const RatWeight &nu) const

StandardRepr	sr_gamma (KGBElt x, const Weight &lambda_rho, const RatWeight &gamma) const

StandardRepr	sr (KGBElt x, const Weight &lambda_rho, const RatWeight &nu) const

StandardRepr	sr (const standardrepk::StandardRepK &srk, const standardrepk::SRK_context &srkc, const RatWeight &nu) const

StandardRepr	sr (const param_block &b, BlockElt i) const

Weight	lambda_rho (const StandardRepr &z) const

RatWeight	lambda (const StandardRepr &z) const

RatWeight	nu (const StandardRepr &z) const

bool	is_standard (const StandardRepr &z, RootNbr &witness) const

bool	is_zero (const StandardRepr &z, RootNbr &witness) const

bool	is_final (const StandardRepr &z, RootNbr &witness) const

bool	is_oriented (const StandardRepr &z, RootNbr alpha) const

unsigned int	orientation_number (const StandardRepr &z) const

void	W_act (const WeylWord &w, StandardRepr &z) const

void	W_act (const WeylWord &w, StandardRepr &z, const SubSystem &subsys) const

WeylWord	make_dominant (StandardRepr &z) const

WeylWord	make_dominant (StandardRepr &z, const SubSystem &subsys) const

RationalList	reducibility_points (const StandardRepr &z) const

StandardRepr	cross (weyl::Generator s, StandardRepr z) const

StandardRepr	Cayley (weyl::Generator s, StandardRepr z) const

StandardRepr	inv_Cayley (weyl::Generator s, StandardRepr z) const

StandardRepr	twist (StandardRepr z) const

StandardRepr	cross (const Weight &alpha, StandardRepr z) const

StandardRepr	any_Cayley (const Weight &alpha, StandardRepr z) const

compare	repr_less () const

poly	expand_final (StandardRepr z) const

std::ostream &	print (std::ostream &, const StandardRepr &z) const

std::ostream &	print (std::ostream &, const poly &P) const

Private Attributes
RealReductiveGroup &	G

const KGB &	KGB_set

Member Typedef Documentation

typedef Free_Abelian<StandardRepr,Split_integer,compare> atlas::repr::Rep_context::poly

Constructor & Destructor Documentation

atlas::repr::Rep_context::Rep_context ( RealReductiveGroup & G )

explicit

Member Function Documentation

StandardRepr atlas::repr::Rep_context::any_Cayley	(	const Weight &	alpha,
		StandardRepr	z
	)		const

const TitsCoset& atlas::repr::Rep_context::basedTitsGroup ( ) const

inline

StandardRepr atlas::repr::Rep_context::Cayley	(	weyl::Generator	s,
		StandardRepr	z
	)		const

StandardRepr atlas::repr::Rep_context::cross	(	weyl::Generator	s,
		StandardRepr	z
	)		const

StandardRepr atlas::repr::Rep_context::cross	(	const Weight &	alpha,
		StandardRepr	z
	)		const

SR_poly atlas::repr::Rep_context::expand_final ( StandardRepr z ) const

RatWeight atlas::repr::Rep_context::gamma	(	KGBElt	x,
		const Weight &	lambda_rho,
		const RatWeight &	nu
	)		const

const InnerClass& atlas::repr::Rep_context::innerClass ( ) const

inline

StandardRepr atlas::repr::Rep_context::inv_Cayley	(	weyl::Generator	s,
		StandardRepr	z
	)		const

const TwistedInvolution atlas::repr::Rep_context::involution_of_Cartan ( size_t cn ) const

bool atlas::repr::Rep_context::is_final	(	const StandardRepr &	z,
		RootNbr &	witness
	)		const

bool atlas::repr::Rep_context::is_oriented	(	const StandardRepr &	z,
		RootNbr	alpha
	)		const

bool atlas::repr::Rep_context::is_standard	(	const StandardRepr &	z,
		RootNbr &	witness
	)		const

bool atlas::repr::Rep_context::is_zero	(	const StandardRepr &	z,
		RootNbr &	witness
	)		const

const KGB& atlas::repr::Rep_context::kgb ( ) const

inline

RatWeight atlas::repr::Rep_context::lambda ( const StandardRepr & z ) const

Weight atlas::repr::Rep_context::lambda_rho ( const StandardRepr & z ) const

WeylWord atlas::repr::Rep_context::make_dominant ( StandardRepr & z ) const

WeylWord atlas::repr::Rep_context::make_dominant	(	StandardRepr &	z,
		const SubSystem &	subsys
	)		const

RatWeight atlas::repr::Rep_context::nu ( const StandardRepr & z ) const

unsigned int atlas::repr::Rep_context::orientation_number ( const StandardRepr & z ) const

std::ostream & atlas::repr::Rep_context::print	(	std::ostream &	str,
		const StandardRepr &	z
	)		const

std::ostream & atlas::repr::Rep_context::print	(	std::ostream &	str,
		const poly &	P
	)		const

size_t atlas::repr::Rep_context::rank ( ) const

RealReductiveGroup& atlas::repr::Rep_context::realGroup ( ) const

inline

RationalList atlas::repr::Rep_context::reducibility_points ( const StandardRepr & z ) const

Rep_context::compare atlas::repr::Rep_context::repr_less ( ) const

const RootDatum& atlas::repr::Rep_context::rootDatum ( ) const

inline

StandardRepr atlas::repr::Rep_context::sr	(	KGBElt	x,
		const Weight &	lambda_rho,
		const RatWeight &	nu
	)		const

inline

StandardRepr atlas::repr::Rep_context::sr	(	const standardrepk::StandardRepK &	srk,
		const standardrepk::SRK_context &	srkc,
		const RatWeight &	nu
	)		const

StandardRepr atlas::repr::Rep_context::sr	(	const param_block &	b,
		BlockElt	i
	)		const

StandardRepr atlas::repr::Rep_context::sr_gamma	(	KGBElt	x,
		const Weight &	lambda_rho,
		const RatWeight &	gamma
	)		const

const TitsGroup& atlas::repr::Rep_context::titsGroup ( ) const

inline

StandardRepr atlas::repr::Rep_context::twist ( StandardRepr z ) const

const TwistedWeylGroup& atlas::repr::Rep_context::twistedWeylGroup ( ) const

inline

void atlas::repr::Rep_context::W_act	(	const WeylWord &	w,
		StandardRepr &	z
	)		const

void atlas::repr::Rep_context::W_act	(	const WeylWord &	w,
		StandardRepr &	z,
		const SubSystem &	subsys
	)		const

const WeylGroup& atlas::repr::Rep_context::weylGroup ( ) const

inline

Member Data Documentation

RealReductiveGroup& atlas::repr::Rep_context::G

private

const KGB& atlas::repr::Rep_context::KGB_set

private

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

/home/ran/atlas_project/latest_branch_07182016/sources/gkmod/repr.h
/home/ran/atlas_project/latest_branch_07182016/sources/gkmod/repr.cpp

Classes

Public Types

Public Member Functions

Private Attributes

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation