xTras
Package Symbol
YoungProject
YoungSymmetrize
TableauDimension
See Also »
|
xTras package
More About »
TableauSymmetric
TableauSymmetric[
tab
]
gives the symmetry of the tableau
tab
as a Strong Generating Set.
MORE INFORMATION
The Young tableau has to be given as an array. For example, the array
{{a, b}, {c, d}}
represents the tableau
. See also
YoungTableauQ
.
The Strong Generating Set is given in Cycles notation.
The resulting Strong Generating Set only captures the mono-term symmetries of the Young tableau.
If the tableau is a single row, the result reduces to that of Symmetric.
If the tableau is a single column, the result reduces to that of Antisymmetric.
If the tableau is a window, the result reduces to that of RiemannSymmetric.
The following options can be given:
ManifestSymmetry
Antisymmetric
with what manifest symmetry the result is symmetrized
Possible settings for
ManifestSymmetry
include:
Antisymmetric
first symmetrize rows and then antisymmetrize columns
Symmetric
first antisymmetrize columns and then symmetrize rows
EXAMPLES
CLOSE ALL
Basic Examples
(3)
In[1]:=
Out[1]=
In[2]:=
Out[2]=
In[1]:=
Out[1]=
In[2]:=
Out[2]=
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Options
(1)
SEE ALSO
YoungProject
YoungSymmetrize
TableauDimension
MORE ABOUT
xTras package