- FindStat

Identifier

St001583: Permutations ⟶ ℤ (values match St000246The number of non-inversions of a permutation.)

Values

=>
                            
                            
                            
                            

                        [1,2]=>1
[2,1]=>0
[1,2,3]=>3
[1,3,2]=>2
[2,1,3]=>2
[2,3,1]=>1
[3,1,2]=>1
[3,2,1]=>0
[1,2,3,4]=>6
[1,2,4,3]=>5
[1,3,2,4]=>5
[1,3,4,2]=>4
[1,4,2,3]=>4
[1,4,3,2]=>3
[2,1,3,4]=>5
[2,1,4,3]=>4
[2,3,1,4]=>4
[2,3,4,1]=>3
[2,4,1,3]=>3
[2,4,3,1]=>2
[3,1,2,4]=>4
[3,1,4,2]=>3
[3,2,1,4]=>3
[3,2,4,1]=>2
[3,4,1,2]=>2
[3,4,2,1]=>1
[4,1,2,3]=>3
[4,1,3,2]=>2
[4,2,1,3]=>2
[4,2,3,1]=>1
[4,3,1,2]=>1
[4,3,2,1]=>0
                    

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Description

The projective dimension of the simple module corresponding to the point in the poset of the symmetric group under bruhat order.

Created

Aug 10, 2020 at 10:02 by Rene Marczinzik

Updated

Aug 10, 2020 at 10:02 by Rene Marczinzik