atlas::innerclass Namespace Reference

Classes
class	InnerClass

Functions
void	crossTransform (RootNbrList &, const WeylWord &, const RootSystem &)
unsigned long	makeRepresentative (const Grading &, const RootNbrList &, const Fiber &)
bool	checkDecomposition (const TwistedInvolution &ti, const WeylWord &cross, const RootNbrSet &Cayley, const TwistedWeylGroup &W, const RootSystem &rs)
RatCoweight	square_class_choice (const WeightInvolution &xi, const RatCoweight &coch)
Grading	compacts_for (const InnerClass &G, TorusElement coch)
RatCoweight	some_coch (const InnerClass &G, cartanclass::square_class csc)
containers::sl_list< TorusPart >	preimage (const Fiber &fund_f, const cartanclass::square_class csc, const cartanclass::FiberElt y, const cartanclass::AdjointFiberElt image)
WeylWord	canonicalize (TwistedInvolution &sigma, const RootDatum &rd, const TwistedWeylGroup &W, RankFlags gens)
void	Cayley_and_cross_part (RootNbrSet &Cayley, WeylWord &cross, const TwistedInvolution &ti, const RootSystem &rs, const TwistedWeylGroup &W)
Grading	grading_of_simples (const InnerClass &G, const RatCoweight &coch)
RealFormNbr	real_form_of (InnerClass &G, TwistedInvolution tw, const RatCoweight &torus_factor, RatCoweight &coch)
void	twisted_act (const InnerClass &G, const TwistedInvolution &tw, Weight &v)
void	twisted_act (const InnerClass &G, const TwistedInvolution &tw, RatWeight &v)
void	twisted_act (const InnerClass &G, Weight &v, const TwistedInvolution &tw)
void	twisted_act (const InnerClass &G, RatWeight &v, const TwistedInvolution &tw)

Function Documentation

WeylWord atlas::innerclass::canonicalize	(	TwistedInvolution &	sigma,
		const RootDatum &	rd,
		const TwistedWeylGroup &	W,
		RankFlags	gens
	)

void atlas::innerclass::Cayley_and_cross_part	(	RootNbrSet &	Cayley,
		WeylWord &	cross,
		const TwistedInvolution &	ti,
		const RootSystem &	rs,
		const TwistedWeylGroup &	W
	)

bool atlas::innerclass::checkDecomposition	(	const TwistedInvolution &	ti,
		const WeylWord &	cross,
		const RootNbrSet &	Cayley,
		const TwistedWeylGroup &	W,
		const RootSystem &	rs
	)

Grading atlas::innerclass::compacts_for	(	const InnerClass &	G,
		TorusElement	coch
	)

void atlas::innerclass::crossTransform	(	RootNbrList &	rl,
		const WeylWord &	ww,
		const RootSystem &	rs
	)

Grading atlas::innerclass::grading_of_simples	(	const InnerClass &	G,
		const RatCoweight &	coch
	)

unsigned long atlas::innerclass::makeRepresentative	(	const Grading &	gr,
		const RootNbrList &	rl,
		const Fiber &	fundf
	)

containers::sl_list< TorusPart > atlas::innerclass::preimage	(	const Fiber &	fund_f,
		const cartanclass::square_class	csc,
		const cartanclass::FiberElt	y,
		const cartanclass::AdjointFiberElt	image
	)

RealFormNbr atlas::innerclass::real_form_of	(	InnerClass &	G,
		TwistedInvolution	tw,
		const RatCoweight &	torus_factor,
		RatCoweight &	coch
	)

RatCoweight atlas::innerclass::some_coch	(	const InnerClass &	G,
		cartanclass::square_class	csc
	)

RatCoweight atlas::innerclass::square_class_choice	(	const WeightInvolution &	xi,
		const RatCoweight &	coch
	)

void atlas::innerclass::twisted_act	(	const InnerClass &	G,
		const TwistedInvolution &	tw,
		Weight &	v
	)

void atlas::innerclass::twisted_act	(	const InnerClass &	G,
		const TwistedInvolution &	tw,
		RatWeight &	v
	)

void atlas::innerclass::twisted_act	(	const InnerClass &	G,
		Weight &	v,
		const TwistedInvolution &	tw
	)

void atlas::innerclass::twisted_act	(	const InnerClass &	G,
		RatWeight &	v,
		const TwistedInvolution &	tw
	)