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WeylGroups :: reflect(RootSystem,BasicList,Weight)

reflect(RootSystem,BasicList,Weight) -- apply to a weight several reflections with respect to roots

Synopsis

Description

i1 : R = rootSystemB(4)

o1 = RootSystem{...8...}

o1 : RootSystem
i2 : p = halfSumOfRoots(R)

o2 = | 1 |
     | 1 |
     | 1 |
     | 1 |

o2 : Weight
i3 : reflect(R,{1,2,3,4},p)

o3 = | -4 |
     |  1 |
     |  1 |
     |  3 |

o3 : Weight