muEC::PART::SkewPart2Mat – a planar representation of a skew partition

Draw the Ferrer's diagram of a partition.

→ Examples

Call:

muEC::PART::SkewPart2Mat(part, alphabet = l)

Parameters:

skp

a skew part

Options:

alphabet = l

l is a list of 1 to 3 components, math filling the skew diagram, math the inner diagram and math the outside

Related Functions:

muEC::PART::ListSkewDiag, muEC::PART::Part2Mat, muEC::TYP::IsSkewDiag, muEC::TYP::IsSkewPart

Details:

The muEC::PART::SkewPart2Mat function gives a planar representation of a skew partition in the Cartesian plane, i.e. the north-east quadrant.

A skew partition is a list of two partitions p1 and p2 such that p1 is greater than p2 (with respect to inclusion of diagrams).

Example 1:

muEC::PART::SkewPart2Mat( [[3,2],[2]] );

math

print(Unquoted, muEC::PART::SkewPart2Mat( [[3,2],[2]], alphabet=["#",".",""] )):

+-         -+

|  #, #,    |

|           |

|  ., ., #  |

+-         -+

 

map( muEC::PART::ListSkewDiag(3),muEC::PART::SkewPart2Mat )

math