There are 46 statistics
on Signed permutations
in the database:
(and possibly some waiting for verification)
(and possibly some waiting for verification)
St001427Signed permutations ⟶ ℤ
The number of descents of a signed permutation.
St001428Signed permutations ⟶ ℤ
The number of B-inversions of a signed permutation.
St001429Signed permutations ⟶ ℤ
The number of negative entries in a signed permutation.
St001430Signed permutations ⟶ ℤ
The number of positive entries in a signed permutation.
St001433Signed permutations ⟶ ℤ
The flag major index of a signed permutation.
St001434Signed permutations ⟶ ℤ
The number of negative sum pairs of a signed permutation.
St001555Signed permutations ⟶ ℤ
The order of a signed permutation.
St001768Signed permutations ⟶ ℤ
The number of reduced words of a signed permutation.
St001769Signed permutations ⟶ ℤ
The reflection length of a signed permutation.
St001770Signed permutations ⟶ ℤ
The number of facets of a certain subword complex associated with the signed permutation.
St001771Signed permutations ⟶ ℤ
The number of occurrences of the signed pattern 1-2 in a signed permutation.
St001772Signed permutations ⟶ ℤ
The number of occurrences of the signed pattern 12 in a signed permutation.
St001773Signed permutations ⟶ ℤ
The number of minimal elements in Bruhat order not less than the signed permutation.
St001817Signed permutations ⟶ ℤ
The number of flag weak exceedances of a signed permutation.
St001819Signed permutations ⟶ ℤ
The flag Denert index of a signed permutation.
St001821Signed permutations ⟶ ℤ
The sorting index of a signed permutation.
St001822Signed permutations ⟶ ℤ
The number of alignments of a signed permutation.
St001823Signed permutations ⟶ ℤ
The Stasinski-Voll length of a signed permutation.
St001848Signed permutations ⟶ ℤ
The atomic length of a signed permutation.
St001851Signed permutations ⟶ ℤ
The number of Hecke atoms of a signed permutation.
St001852Signed permutations ⟶ ℤ
The size of the conjugacy class of the signed permutation.
St001853Signed permutations ⟶ ℤ
The size of the two-sided Kazhdan-Lusztig cell,
St001854Signed permutations ⟶ ℤ
The size of the left Kazhdan-Lusztig cell,
St001855Signed permutations ⟶ ℤ
The number of signed permutations less than or equal to a signed permutation in left weak order.
St001857Signed permutations ⟶ ℤ
The number of edges in the reduced word graph of a signed permutation.
St001858Signed permutations ⟶ ℤ
The number of covering elements of a signed permutation in absolute order.
St001860Signed permutations ⟶ ℤ
The number of factors of the Stanley symmetric function associated with a signed permutation.
St001861Signed permutations ⟶ ℤ
The number of Bruhat lower covers of a permutation.
St001862Signed permutations ⟶ ℤ
The number of crossings of a signed permutation.
St001863Signed permutations ⟶ ℤ
The number of weak excedances of a signed permutation.
St001864Signed permutations ⟶ ℤ
The number of excedances of a signed permutation.
St001865Signed permutations ⟶ ℤ
The number of alignments of a signed permutation.
St001866Signed permutations ⟶ ℤ
The nesting alignments of a signed permutation.
St001867Signed permutations ⟶ ℤ
The number of alignments of type EN of a signed permutation.
St001868Signed permutations ⟶ ℤ
The number of alignments of type NE of a signed permutation.
St001870Signed permutations ⟶ ℤ
The number of positive entries followed by a negative entry in a signed permutation.
St001882Signed permutations ⟶ ℤ
The number of occurrences of a type-B 231 pattern in a signed permutation.
St001889Signed permutations ⟶ ℤ
The size of the connectivity set of a signed permutation.
St001892Signed permutations ⟶ ℤ
The flag excedance statistic of a signed permutation.
St001893Signed permutations ⟶ ℤ
The flag descent of a signed permutation.
St001894Signed permutations ⟶ ℤ
The depth of a signed permutation.
St001895Signed permutations ⟶ ℤ
The oddness of a signed permutation.
St001896Signed permutations ⟶ ℤ
The number of right descents of a signed permutations.
St001907Signed permutations ⟶ ℤ
The number of Bastidas - Hohlweg - Saliola excedances of a signed permutation.
St001926Signed permutations ⟶ ℤ
Sparre Andersen's position of the maximum of a signed permutation.
St001927Signed permutations ⟶ ℤ
Sparre Andersen's number of positives of a signed permutation.