atlas::topology::Connectivity Class Reference

#include <topology.h>

Collaboration diagram for atlas::topology::Connectivity:

[legend]List of all members.

Public Member Functions
	Connectivity ()
	Connectivity (const tori::RealTorus &most_split, const rootdata::RootDatum &)
	~Connectivity ()
const latticetypes::SmallBitVectorList &	dualComponentReps () const
void	swap (Connectivity &other)
Private Attributes
latticetypes::SmallBitVectorList	d_dpi0

---

Constructor & Destructor Documentation

atlas::topology::Connectivity::Connectivity (   )  [inline]

Definition at line 56 of file topology.h.

atlas::topology::Connectivity::Connectivity (  const tori::RealTorus &  t, const rootdata::RootDatum &  rd )

Builds the component group of our given group from the most split Cartan |t| (see the introduction to this module.) Since pi_0(G) is canonically a quotient of pi_0(T), we can see the dual group dpi_0(G) as a subgroup of dpi_0(T). Now we already have a preferred basis of dpi_0(T); so we put in dpi_0 the preferred basis in terms of the basis of dpi_0(T). The computation of dpi0 is explained in the introduction to this module. Definition at line 111 of file topology.cpp. References atlas::rootdata::RootDatum::beginRadical(), atlas::rootdata::RootDatum::beginSimpleCoroot(), atlas::latticetypes::BinaryMap, atlas::tori::RealTorus::componentMap(), atlas::bits::copy(), d_dpi0, atlas::rootdata::RootDatum::endRadical(), atlas::rootdata::RootDatum::endSimpleCoroot(), atlas::tori::RealTorus::involution(), atlas::bitvector::BitMatrix< dim >::kernel(), atlas::latticetypes::LatticeMatrix, atlas::rootdata::RootDatum::rank(), atlas::rootdata::RootDatum::semisimpleRank(), atlas::latticetypes::Weight, and atlas::latticetypes::WeightList.

atlas::topology::Connectivity::~Connectivity (   )  [inline]

Definition at line 60 of file topology.h.

---

Member Function Documentation

const latticetypes::SmallBitVectorList& atlas::topology::Connectivity::dualComponentReps (   )  const [inline]

Definition at line 63 of file topology.h. References atlas::latticetypes::SmallBitVectorList. Referenced by atlas::realredgp::RealReductiveGroup::dualComponentReps(), and atlas::realredgp::RealReductiveGroup::RealReductiveGroup().

void atlas::topology::Connectivity::swap (  Connectivity &  other  )  [inline]

Definition at line 68 of file topology.h. References d_dpi0. Referenced by atlas::realredgp::RealReductiveGroup::swap().

---

Member Data Documentation

latticetypes::SmallBitVectorList atlas::topology::Connectivity::d_dpi0 [private]

Definition at line 52 of file topology.h. Referenced by Connectivity(), and swap().

---

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

• /home/r0/dav/atlas.dir/atlas3/sources/structure/topology.h
• /home/r0/dav/atlas.dir/atlas3/sources/structure/topology.cpp

---