There are 30 statistics
on Standard tableaux
in the database:
(and possibly some waiting for verification)
(and possibly some waiting for verification)
St000009Standard tableaux ⟶ ℤ
The charge of a standard tableau.
St000016Standard tableaux ⟶ ℤ
The number of attacking pairs of a standard tableau.
St000017Standard tableaux ⟶ ℤ
The number of inversions of a standard tableau.
St000057Standard tableaux ⟶ ℤ
The Shynar inversion number of a standard tableau.
St000059Standard tableaux ⟶ ℤ
The inversion number of a standard tableau as defined by Haglund and Stevens.
St000075Standard tableaux ⟶ ℤ
The orbit size of a standard tableau under promotion.
St000157Standard tableaux ⟶ ℤ
The number of descents of a standard tableau.
St000169Standard tableaux ⟶ ℤ
The cocharge of a standard tableau.
St000330Standard tableaux ⟶ ℤ
The (standard) major index of a standard tableau.
St000336Standard tableaux ⟶ ℤ
The leg major index of a standard tableau.
St000507Standard tableaux ⟶ ℤ
The number of ascents of a standard tableau.
St000508Standard tableaux ⟶ ℤ
Eigenvalues of the random-to-random operator acting on a simple module.
St000693Standard tableaux ⟶ ℤ
The modular (standard) major index of a standard tableau.
St000733Standard tableaux ⟶ ℤ
The row containing the largest entry of a standard tableau.
St000734Standard tableaux ⟶ ℤ
The last entry in the first row of a standard tableau.
St000735Standard tableaux ⟶ ℤ
The last entry on the main diagonal of a standard tableau.
St000738Standard tableaux ⟶ ℤ
The first entry in the last row of a standard tableau.
St000743Standard tableaux ⟶ ℤ
The number of entries in a standard Young tableau such that the next integer is a neighbour.
St000744Standard tableaux ⟶ ℤ
The length of the path to the largest entry in a standard Young tableau.
St000745Standard tableaux ⟶ ℤ
The index of the last row whose first entry is the row number in a standard Young tableau.
St001462Standard tableaux ⟶ ℤ
The number of factors of a standard tableaux under concatenation.
St001695Standard tableaux ⟶ ℤ
The natural comajor index of a standard Young tableau.
St001696Standard tableaux ⟶ ℤ
The natural major index of a standard Young tableau.
St001697Standard tableaux ⟶ ℤ
The shifted natural comajor index of a standard Young tableau.
St001698Standard tableaux ⟶ ℤ
The comajor index of a standard tableau minus the weighted size of its shape.
St001699Standard tableaux ⟶ ℤ
The major index of a standard tableau minus the weighted size of its shape.
St001712Standard tableaux ⟶ ℤ
The number of natural descents of a standard Young tableau.
St001803Standard tableaux ⟶ ℤ
The maximal overlap of the cylindrical tableau associated with a tableau.
St001804Standard tableaux ⟶ ℤ
The minimal height of the rectangular inner shape in a cylindrical tableau associated to a tableau.
St001816Standard tableaux ⟶ ℤ
Eigenvalues of the top-to-random operator acting on a simple module.