Identifier
Identifier
Values
=>
Cc0028;cc-rep
[[1],[]]=>1 [[2],[]]=>1 [[1,1],[]]=>1 [[2,1],[1]]=>2 [[3],[]]=>1 [[2,1],[]]=>1 [[3,1],[1]]=>2 [[2,2],[1]]=>1 [[3,2],[2]]=>2 [[1,1,1],[]]=>1 [[2,2,1],[1,1]]=>2 [[2,1,1],[1]]=>2 [[3,2,1],[2,1]]=>3 [[4],[]]=>1 [[3,1],[]]=>1 [[4,1],[1]]=>2 [[2,2],[]]=>1 [[3,2],[1]]=>1 [[4,2],[2]]=>2 [[2,1,1],[]]=>1 [[3,2,1],[1,1]]=>2 [[3,1,1],[1]]=>2 [[4,2,1],[2,1]]=>3 [[3,3],[2]]=>1 [[4,3],[3]]=>2 [[2,2,1],[1]]=>1 [[3,3,1],[2,1]]=>2 [[3,2,1],[2]]=>2 [[4,3,1],[3,1]]=>3 [[2,2,2],[1,1]]=>1 [[3,3,2],[2,2]]=>2 [[3,2,2],[2,1]]=>2 [[4,3,2],[3,2]]=>3 [[1,1,1,1],[]]=>1 [[2,2,2,1],[1,1,1]]=>2 [[2,2,1,1],[1,1]]=>2 [[3,3,2,1],[2,2,1]]=>3 [[2,1,1,1],[1]]=>2 [[3,2,2,1],[2,1,1]]=>3 [[3,2,1,1],[2,1]]=>3 [[4,3,2,1],[3,2,1]]=>4 [[5],[]]=>1 [[4,1],[]]=>1 [[5,1],[1]]=>2 [[3,2],[]]=>1 [[4,2],[1]]=>1 [[5,2],[2]]=>2 [[3,1,1],[]]=>1 [[4,2,1],[1,1]]=>2 [[4,1,1],[1]]=>2 [[5,2,1],[2,1]]=>3 [[3,3],[1]]=>1 [[4,3],[2]]=>1 [[5,3],[3]]=>2 [[2,2,1],[]]=>1 [[3,3,1],[1,1]]=>2 [[3,2,1],[1]]=>1 [[4,3,1],[2,1]]=>2 [[4,2,1],[2]]=>2 [[5,3,1],[3,1]]=>3 [[3,2,2],[1,1]]=>1 [[4,3,2],[2,2]]=>2 [[4,2,2],[2,1]]=>2 [[5,3,2],[3,2]]=>3 [[2,1,1,1],[]]=>1 [[3,2,2,1],[1,1,1]]=>2 [[3,2,1,1],[1,1]]=>2 [[4,3,2,1],[2,2,1]]=>3 [[3,1,1,1],[1]]=>2 [[4,2,2,1],[2,1,1]]=>3 [[4,2,1,1],[2,1]]=>3 [[5,3,2,1],[3,2,1]]=>4 [[4,4],[3]]=>1 [[5,4],[4]]=>2 [[3,3,1],[2]]=>1 [[4,4,1],[3,1]]=>2 [[4,3,1],[3]]=>2 [[5,4,1],[4,1]]=>3 [[2,2,2],[1]]=>1 [[3,3,2],[2,1]]=>1 [[4,4,2],[3,2]]=>2 [[3,2,2],[2]]=>2 [[4,3,2],[3,1]]=>2 [[5,4,2],[4,2]]=>3 [[2,2,1,1],[1]]=>1 [[3,3,2,1],[2,1,1]]=>2 [[3,3,1,1],[2,1]]=>2 [[4,4,2,1],[3,2,1]]=>3 [[3,2,1,1],[2]]=>2 [[4,3,2,1],[3,1,1]]=>3 [[4,3,1,1],[3,1]]=>3 [[5,4,2,1],[4,2,1]]=>4 [[3,3,3],[2,2]]=>1 [[4,4,3],[3,3]]=>2 [[4,3,3],[3,2]]=>2 [[5,4,3],[4,3]]=>3 [[2,2,2,1],[1,1]]=>1 [[3,3,3,1],[2,2,1]]=>2 [[3,3,2,1],[2,2]]=>2 [[4,4,3,1],[3,3,1]]=>3 [[3,2,2,1],[2,1]]=>2 [[4,3,3,1],[3,2,1]]=>3 [[4,3,2,1],[3,2]]=>3 [[5,4,3,1],[4,3,1]]=>4 [[2,2,2,2],[1,1,1]]=>1 [[3,3,3,2],[2,2,2]]=>2 [[3,3,2,2],[2,2,1]]=>2 [[4,4,3,2],[3,3,2]]=>3 [[3,2,2,2],[2,1,1]]=>2 [[4,3,3,2],[3,2,2]]=>3 [[4,3,2,2],[3,2,1]]=>3 [[5,4,3,2],[4,3,2]]=>4 [[1,1,1,1,1],[]]=>1 [[2,2,2,2,1],[1,1,1,1]]=>2 [[2,2,2,1,1],[1,1,1]]=>2 [[3,3,3,2,1],[2,2,2,1]]=>3 [[2,2,1,1,1],[1,1]]=>2 [[3,3,2,2,1],[2,2,1,1]]=>3 [[3,3,2,1,1],[2,2,1]]=>3 [[4,4,3,2,1],[3,3,2,1]]=>4 [[2,1,1,1,1],[1]]=>2 [[3,2,2,2,1],[2,1,1,1]]=>3 [[3,2,2,1,1],[2,1,1]]=>3 [[4,3,3,2,1],[3,2,2,1]]=>4 [[3,2,1,1,1],[2,1]]=>3 [[4,3,2,2,1],[3,2,1,1]]=>4 [[4,3,2,1,1],[3,2,1]]=>4 [[5,4,3,2,1],[4,3,2,1]]=>5
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Description
The number of connected components of a skew partition.
Code
def statistic(la):
    return len(la.cell_poset().connected_components())
Created
Oct 30, 2019 at 12:59 by Martin Rubey
Updated
Oct 30, 2019 at 12:59 by Martin Rubey