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DeclareOperation( "ExtendedCartanMatrix", [IsRootSystem] );
DeclareOperation( "CartanType", [IsMatrix] );
DeclareOperation( "WeylTransversal", [IsRootSystem,IsList] );
DeclareAttribute( "WeylPermutations", IsWeylGroup );
DeclareAttribute( "AdmissibleLattice", IsAlgebraModule );
DeclareOperation( "SizeOfWeylGroup", [IsList] );
DeclareOperation( "SizeOfWeylGroup", [IsString, IsInt] );
DeclareOperation( "SizeOfWeylGroup", [IsRootSystem] );
DeclareAttribute( "WeylGroupAsPermGroup", IsRootSystem );
DeclareOperation( "ApplyWeylPermToWeight", [IsRootSystem, IsPerm, IsList] );
DeclareOperation( "WeylWordAsPerm", [IsRootSystem, IsList] );
DeclareOperation( "PermAsWeylWord", [IsRootSystem, IsPerm] );
DeclareOperation( "ApplyWeylPermToCartanElement", [IsLieAlgebra, IsPerm,
IsObject ] );
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