ACE (3.0, No): BN-BN package

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HELP FOR: A package for the hyperoctahedral group.

CALLING SEQUENCE:

BN[<function>](args)

<function>(args)

SYNOPSIS:

This package provides functions to work with the hyperoctahedral group, in particular with its Bruhat order. It gives functions to handle the elements of this group, represented by codes. It also provides functions to make conversions between a code and a signed permutation (Bar) or a palindromic permutation (Palin). This last coding comes from the embedding of B(n) into S(2n).

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

The available functions are:

`BnBar2Code`	`BnBar2Mat`	`BnCode2Bar`	`BnCode2Inv`
`BnCode2Interval`	`BnCode2Length`	`BnCode2ListRd`	`BnCode2Palin`
`BnCode2Rd`	`BnGenCode`	`BnListCode`	`BnMat2Bar`
`BnMultBar`	`BnMultCode`	`BnPalin2Code`	`BnRd2Code`
`BnTranspoPalin`

For help with a particular function do either ?BN[<function>] or ?BN,<function> where <function> is one from the above list.

EXAMPLES:

> with(BN):
> BnCode2Interval([1,1,3]);
 
   [[1, 1, 3], [1, 1, 2], [1, 2, 1], [1, 1, 1], [1, 0, 3], [1, 0, 2],
 
    [1, 2, 0], [1, 1, 0], [0, 1, 3], [0, 1, 2], [0, 2, 1], [0, 1, 1],
 
    [0, 0, 3], [0, 0, 2], [1, 0, 1], [0, 0, 1], [0, 2, 0], [0, 1, 0],
 
    [1, 0, 0], [0, 0, 0]]