Weights

DominantWeight( W, v ) : GrpCox, . -> ModTupFldElt, []

    basis: MonStgElt                    Default: "standard"

The unique element in the W-orbit of the weight v which lies in the fundamental Weyl chamber, and the word in the generators which sends v to this element.

WeightOrbit( W, v ) : GrpCox, . -> @ @

    basis: MonStgElt                    Default: "standard"

The orbit of the weight v under the action of W.

Example GrpCox_DominantWeights (H36E19)

> W := CoxeterGroup( "B3" );
> DominantWeight( W, [1,-1,0] : basis:="weight" );  
(1 0 0)
[ 2, 3, 2, 1 ]
> #WeightOrbit( W, [1,-1,0] : basis:="weight" );   
48