WeylGroupElement * Weight -- apply an element of a Weyl group to a weight

Synopsis

Operator: *
Usage:

w * p
Inputs:
- w, an instance of the type WeylGroupElement
- p, an instance of the type Weight
Outputs:
- an instance of the type Weight, w applied to p

Description

i1 : R=rootSystemC(4)

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

o1 : RootSystem

i2 : w=reduce(R,{1})

o2 = WeylGroupElement{RootSystem{...8...}, | -1 |}
                                           |  2 |
                                           |  1 |
                                           |  1 |

o2 : WeylGroupElement

i3 : p=halfSumOfRoots R

o3 = | 1 |
     | 1 |
     | 1 |
     | 1 |

o3 : Weight

i4 : w*p

o4 = | -1 |
     |  2 |
     |  1 |
     |  1 |

o4 : Weight