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SG::Perm2Betti -- computes the Betti polynomial

Call(s)


SG::Perm2Betti(p,q)

Parameters

p- any list denoting a permutation
q- a formal variable

Introduction

The SG::Perm2Betti function computes the generating function of the lengths of all permutations that are smaller than a given permutation p, according to Bruhat order.

Example 1

>> muEC::SG::Perm2Betti( [3,4,1,2], q );
                                 2      3    4
                        3 q + 5 q  + 4 q  + q  + 1

Related Functions

CompPerm, Perm2Interval

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MuPAD Combinat, an open source algebraic combinatorics package