atlas::weyl::WeylGroup Class Reference

#include <weyl.h>

Collaboration diagram for atlas::weyl::WeylGroup:

[legend]List of all members.

Public Member Functions
	WeylGroup ()
	WeylGroup (const latticetypes::LatticeMatrix &, const Twist *=0)
	WeylGroup (const WeylGroup &, tags::DualTag)
	~WeylGroup ()
void	conjugacyClass (WeylEltList &, const WeylElt &, bool twisted=true) const
void	conjugate (WeylElt &w, Generator s) const
bool	hasDescent (Generator, const WeylElt &) const
bool	hasTwistedCommutation (Generator, const WeylElt &) const
void	invert (WeylElt &) const
unsigned long	involutionLength (const weyl::WeylElt &) const
void	involutionOut (WeylWord &, const WeylElt &) const
void	invProd (WeylElt &, const WeylWord &) const
Generator	leftDescent (const WeylElt &) const
void	leftProd (WeylElt &w, Generator s) const
unsigned long	length (const WeylElt &) const
const WeylElt &	longest () const
unsigned long	maxlength () const
const size::Size &	order () const
void	out (WeylWord &, const WeylElt &) const
void	outerTwist (Twist &) const
int	prod (WeylElt &w, Generator s) const
void	prod (WeylElt &, const WeylElt &) const
void	prod (WeylElt &, const WeylWord &) const
size_t	rank () const
unsigned long	toUlong (const WeylElt &) const
WeylElt	toWeylElt (unsigned long) const
void	translate (WeylElt &, const WeylInterface &) const
void	twist (WeylElt &) const
Generator	twistGenerator (Generator s) const
void	twistedConjugate (WeylElt &w, Generator s) const
void	swap (WeylGroup &)
Private Member Functions
void	leftProdIn (WeylElt &, Generator) const
int	prodIn (WeylElt &, Generator) const
void	prodIn (WeylElt &, const WeylWord &) const
const WeylWord &	wordPiece (const WeylElt &w, size_t j) const
Private Attributes
size_t	d_rank
size::Size	d_order
unsigned long	d_maxlength
WeylElt	d_longest
latticetypes::LatticeMatrix	d_coxeterMatrix
std::vector< Transducer >	d_transducer
Twist	d_twist
WeylInterface	d_in
WeylInterface	d_out

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Constructor & Destructor Documentation

atlas::weyl::WeylGroup::WeylGroup (   )  [inline]

atlas::weyl::WeylGroup::WeylGroup (  const latticetypes::LatticeMatrix &  , const Twist *  = 0 )

atlas::weyl::WeylGroup::WeylGroup (  const WeylGroup &  , tags::DualTag  )

atlas::weyl::WeylGroup::~WeylGroup (   )  [inline]

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Member Function Documentation

void atlas::weyl::WeylGroup::conjugacyClass (  WeylEltList &  , const WeylElt &  , bool  twisted = true )  const

void atlas::weyl::WeylGroup::conjugate (  WeylElt &  w, Generator  s )  const [inline]

bool atlas::weyl::WeylGroup::hasDescent (  Generator  , const WeylElt &  )  const

bool atlas::weyl::WeylGroup::hasTwistedCommutation (  Generator  , const WeylElt &  )  const

void atlas::weyl::WeylGroup::invert (  WeylElt &   )  const

unsigned long atlas::weyl::WeylGroup::involutionLength (  const weyl::WeylElt &   )  const

void atlas::weyl::WeylGroup::involutionOut (  WeylWord &  , const WeylElt &  )  const

void atlas::weyl::WeylGroup::invProd (  WeylElt &  , const WeylWord &  )  const

Generator atlas::weyl::WeylGroup::leftDescent (  const WeylElt &   )  const

void atlas::weyl::WeylGroup::leftProd (  WeylElt &  w, Generator  s )  const [inline]

void atlas::weyl::WeylGroup::leftProdIn (  WeylElt &  , Generator  )  const [private]

unsigned long atlas::weyl::WeylGroup::length (  const WeylElt &   )  const

const WeylElt& atlas::weyl::WeylGroup::longest (   )  const [inline]

unsigned long atlas::weyl::WeylGroup::maxlength (   )  const [inline]

const size::Size& atlas::weyl::WeylGroup::order (   )  const [inline]

void atlas::weyl::WeylGroup::out (  WeylWord &  , const WeylElt &  )  const

void atlas::weyl::WeylGroup::outerTwist (  Twist &   )  const

void atlas::weyl::WeylGroup::prod (  WeylElt &  , const WeylWord &  )  const

void atlas::weyl::WeylGroup::prod (  WeylElt &  , const WeylElt &  )  const

int atlas::weyl::WeylGroup::prod (  WeylElt &  w, Generator  s )  const [inline]

void atlas::weyl::WeylGroup::prodIn (  WeylElt &  , const WeylWord &  )  const [private]

int atlas::weyl::WeylGroup::prodIn (  WeylElt &  , Generator  )  const [private]

size_t atlas::weyl::WeylGroup::rank (   )  const [inline]

void atlas::weyl::WeylGroup::swap (  WeylGroup &   )

unsigned long atlas::weyl::WeylGroup::toUlong (  const WeylElt &   )  const

WeylElt atlas::weyl::WeylGroup::toWeylElt (  unsigned  long  )  const

void atlas::weyl::WeylGroup::translate (  WeylElt &  , const WeylInterface &  )  const

void atlas::weyl::WeylGroup::twist (  WeylElt &   )  const

void atlas::weyl::WeylGroup::twistedConjugate (  WeylElt &  w, Generator  s )  const [inline]

Generator atlas::weyl::WeylGroup::twistGenerator (  Generator  s  )  const [inline]

const WeylWord& atlas::weyl::WeylGroup::wordPiece (  const WeylElt &  w, size_t  j )  const [inline, private]

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Member Data Documentation

latticetypes::LatticeMatrix atlas::weyl::WeylGroup::d_coxeterMatrix [private]

WeylInterface atlas::weyl::WeylGroup::d_in [private]

WeylElt atlas::weyl::WeylGroup::d_longest [private]

unsigned long atlas::weyl::WeylGroup::d_maxlength [private]

size::Size atlas::weyl::WeylGroup::d_order [private]

WeylInterface atlas::weyl::WeylGroup::d_out [private]

size_t atlas::weyl::WeylGroup::d_rank [private]

std::vector<Transducer> atlas::weyl::WeylGroup::d_transducer [private]

Twist atlas::weyl::WeylGroup::d_twist [private]

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

• sources/structure/weyl.h
• sources/structure/weyl.cpp

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