rootdata.h File Reference

Class definitions and function declarations for the RootDatum class. More...

#include "../Atlas.h"
#include <algorithm>
#include "arithmetic_fwd.h"
#include "tags.h"
#include "bitset.h"
#include "matrix.h"
#include "permutations.h"

Include dependency graph for rootdata.h:

This graph shows which files directly or indirectly include this file:

Go to the source code of this file.

Classes
class	atlas::rootdata::RootSystem
struct	atlas::rootdata::RootSystem::root_info
class	atlas::rootdata::RootDatum
	Based root datum for a complex reductive group. More...

Namespaces
	atlas
	atlas::rootdata

Functions
RatWeight	atlas::rootdata::rho (const RootDatum &rd)
RatCoweight	atlas::rootdata::rho_check (const RootDatum &rd)
CoweightInvolution	atlas::rootdata::dualBasedInvolution (const WeightInvolution &q, const RootDatum &rd)
RootNbrSet	atlas::rootdata::makeOrthogonal (const RootNbrSet &o, const RootNbrSet &subsys, const RootSystem &rs)
	Returns the elements of |subsys| which are orthogonal to all elements of |o|. More...
void	atlas::rootdata::toDistinguished (WeightInvolution &q, const RootDatum &rd)
	Transforms q, assumed a root datum involution, into a based root datum involution w.q, which fixes the positive Weyl chamber. More...
WeylWord	atlas::rootdata::wrt_distinguished (const RootSystem &rs, RootNbrList &Delta)
void	atlas::rootdata::make_positive (const RootSystem &rs, RootNbr &alpha)
WeylWord	atlas::rootdata::conjugate_to_simple (const RootSystem &rs, RootNbr &alpha)
WeightInvolution	atlas::rootdata::refl_prod (const RootNbrSet &rset, const RootDatum &rd)
RootDatum	atlas::rootdata::integrality_datum (const RootDatum &rd, const RatWeight &gamma)
RationalList	atlas::rootdata::integrality_points (const RootDatum &rd, const RatWeight &gamma)
unsigned int	atlas::rootdata::integrality_rank (const RootDatum &rd, const RatWeight &gamma)

Detailed Description

Class definitions and function declarations for the RootDatum class.