FUNCTION: BnMultBar - multiply signed permutations

CALLING SEQUENCE:

BnMultBar(bar_1, bar_2)

BN[BnMultBar](bar_1, bar_2)

PARAMETERS:

bar_1, bar_2 = any lists denoting signed permutations

SYNOPSIS:

• The BnMultBar function calculates the product of a sequence (of arbitrary length) of signed permutations.

• BnMultBar(bar_1, bar_2) computes bar_1(bar_2).

• Signed permutations need not to belong to the same hyperoctahedral group.

• Whenever there is a conflict between the function name BnMultBar and another name used in the same session, use the long form BN['BnMultBar'].

EXAMPLES:

> with(BN):
> BnMultBar([-1, 3, -2], [-2, 3, -1], [1, 3, 2, -4]);
 
                               [-3, 1, -2, -4]