atlas::complexredgp::ComplexReductiveGroup Class Reference

#include <complexredgp.h>

Collaboration diagram for atlas::complexredgp::ComplexReductiveGroup:

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List of all members.

Public Member Functions

 ComplexReductiveGroup ()
 ComplexReductiveGroup (const rootdata::RootDatum *, const latticetypes::LatticeMatrix &)
 ComplexReductiveGroup (const ComplexReductiveGroup &, tags::DualTag)
 ~ComplexReductiveGroup ()
unsigned long blockSize (realform::RealForm, realform::RealForm) const
const cartanclass::CartanClass & cartan (size_t) const
const poset::Poset & cartanOrdering () const
const bitmap::BitMap & cartanSet (realform::RealForm) const
const latticetypes::LatticeMatrix & distinguished () const
unsigned long dualFiberSize (realform::RealForm, size_t) const
const cartanclass::Fiber & dualFundamental () const
const realform::RealFormList & dualRealFormLabels (size_t) const
unsigned long dualRepresentative (realform::RealForm, size_t) const
unsigned long fiberSize (realform::RealForm, size_t) const
const cartanclass::Fiber & fundamental () const
void grading (rootdata::RootSet &, realform::RealForm) const
unsigned long kgbSize (realform::RealForm) const
size_t mostSplit (realform::RealForm) const
bool noInnerClass () const
size_t numCartanClasses () const
size_t numDualRealForms () const
size_t numInvolutions () const
size_t numRealForms () const
realform::RealForm quasisplit () const
size_t rank () const
const realform::RealFormList & realFormLabels (size_t) const
unsigned long representative (realform::RealForm, size_t) const
const rootdata::RootDatum & rootDatum () const
size_t semisimpleRank () const
const weyl::WeylGroup & weylGroup () const
const tits::TitsGroup & titsGroup () const
const weyl::WeylElt & twistedInvolution (size_t) const
void fillCartan (realform::RealForm rf=0)
void swap (ComplexReductiveGroup &G)

Private Member Functions

 ComplexReductiveGroup (const ComplexReductiveGroup &)
ComplexReductiveGroup & operator= (const ComplexReductiveGroup &)

Private Attributes

const rootdata::RootDatum * d_rootDatum
tits::TitsGroup * d_titsGroup
cartan::CartanClasses * d_cartan

Constructor & Destructor Documentation

atlas::complexredgp::ComplexReductiveGroup::ComplexReductiveGroup (  const ComplexReductiveGroup &   )  [private]
 

atlas::complexredgp::ComplexReductiveGroup::ComplexReductiveGroup (   ) 
 

atlas::complexredgp::ComplexReductiveGroup::ComplexReductiveGroup (  const rootdata::RootDatum *  ,
const latticetypes::LatticeMatrix & 
) 
 

atlas::complexredgp::ComplexReductiveGroup::ComplexReductiveGroup (  const ComplexReductiveGroup &  ,
tags::DualTag 
) 
 

atlas::complexredgp::ComplexReductiveGroup::~ComplexReductiveGroup (   ) 
 


Member Function Documentation

unsigned long atlas::complexredgp::ComplexReductiveGroup::blockSize (  realform::RealForm  ,
realform::RealForm 
)  const
 

const cartanclass::CartanClass & atlas::complexredgp::ComplexReductiveGroup::cartan (  size_t   )  const
 

const poset::Poset & atlas::complexredgp::ComplexReductiveGroup::cartanOrdering (   )  const
 

const bitmap::BitMap & atlas::complexredgp::ComplexReductiveGroup::cartanSet (  realform::RealForm   )  const
 

const latticetypes::LatticeMatrix & atlas::complexredgp::ComplexReductiveGroup::distinguished (   )  const
 

unsigned long atlas::complexredgp::ComplexReductiveGroup::dualFiberSize (  realform::RealForm  ,
size_t 
)  const
 

const cartanclass::Fiber & atlas::complexredgp::ComplexReductiveGroup::dualFundamental (   )  const
 

const realform::RealFormList & atlas::complexredgp::ComplexReductiveGroup::dualRealFormLabels (  size_t   )  const
 

unsigned long atlas::complexredgp::ComplexReductiveGroup::dualRepresentative (  realform::RealForm  ,
size_t 
)  const
 

unsigned long atlas::complexredgp::ComplexReductiveGroup::fiberSize (  realform::RealForm  ,
size_t 
)  const
 

void atlas::complexredgp::ComplexReductiveGroup::fillCartan (  realform::RealForm  rf = 0  ) 
 

const cartanclass::Fiber & atlas::complexredgp::ComplexReductiveGroup::fundamental (   )  const
 

void atlas::complexredgp::ComplexReductiveGroup::grading (  rootdata::RootSet &  ,
realform::RealForm 
)  const
 

unsigned long atlas::complexredgp::ComplexReductiveGroup::kgbSize (  realform::RealForm   )  const
 

size_t atlas::complexredgp::ComplexReductiveGroup::mostSplit (  realform::RealForm   )  const
 

bool atlas::complexredgp::ComplexReductiveGroup::noInnerClass (   )  const [inline]
 

size_t atlas::complexredgp::ComplexReductiveGroup::numCartanClasses (   )  const
 

size_t atlas::complexredgp::ComplexReductiveGroup::numDualRealForms (   )  const
 

size_t atlas::complexredgp::ComplexReductiveGroup::numInvolutions (   )  const
 

size_t atlas::complexredgp::ComplexReductiveGroup::numRealForms (   )  const
 

ComplexReductiveGroup& atlas::complexredgp::ComplexReductiveGroup::operator= (  const ComplexReductiveGroup &   )  [private]
 

realform::RealForm atlas::complexredgp::ComplexReductiveGroup::quasisplit (   )  const
 

size_t atlas::complexredgp::ComplexReductiveGroup::rank (   )  const
 

const realform::RealFormList & atlas::complexredgp::ComplexReductiveGroup::realFormLabels (  size_t   )  const
 

unsigned long atlas::complexredgp::ComplexReductiveGroup::representative (  realform::RealForm  ,
size_t 
)  const
 

const rootdata::RootDatum& atlas::complexredgp::ComplexReductiveGroup::rootDatum (   )  const [inline]
 

size_t atlas::complexredgp::ComplexReductiveGroup::semisimpleRank (   )  const
 

void atlas::complexredgp::ComplexReductiveGroup::swap (  ComplexReductiveGroup &  G  ) 
 

const tits::TitsGroup& atlas::complexredgp::ComplexReductiveGroup::titsGroup (   )  const [inline]
 

const weyl::WeylElt & atlas::complexredgp::ComplexReductiveGroup::twistedInvolution (  size_t   )  const
 

const weyl::WeylGroup & atlas::complexredgp::ComplexReductiveGroup::weylGroup (   )  const
 


Member Data Documentation

cartan::CartanClasses* atlas::complexredgp::ComplexReductiveGroup::d_cartan [private]
 

const rootdata::RootDatum* atlas::complexredgp::ComplexReductiveGroup::d_rootDatum [private]
 

tits::TitsGroup* atlas::complexredgp::ComplexReductiveGroup::d_titsGroup [private]
 


The documentation for this class was generated from the following files:
Generated on Mon Mar 20 07:47:18 2006 for atlas by  doxygen 1.4.6