reducedDecomposition(WeylGroupElement) -- the reduced decomposition of an element of a Weyl group

Synopsis

• Function: reducedDecomposition

• Usage:

  reducedDecomposition(w)

• Inputs:
  • w, an instance of the type WeylGroupElement,
• Outputs:
  • a list, the lexicographically least reduced decomposition of w

Description

i1 : reducedDecomposition longestWeylGroupElement rootSystemF4

o1 = {1, 2, 1, 3, 2, 1, 3, 2, 3, 4, 3, 2, 1, 3, 2, 3, 4, 3, 2, 1, 3, 2, 3, 4}

o1 : List