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TYP::IsSkewDiag -- tests whether the argument is a skew diagram

Call(s)


TYP::IsSkewDiag(expr)

Parameters

expr- any expression

Introduction

The TYP::IsSkewDiag function tests whether expr is a skew diagram that is a a list with two components l1 and l2, l1 being the exterior shape, l2 the interior shape. The corresponding diagram of boxes must be connected, that is l1[i] >= l2[i-1].

Skew diagrams are special cases of skew partitions.

Example 1

>> muEC::TYP::IsSkewDiag( [[3,1,1], [2,1]] );
                                   FALSE
>> muEC::TYP::IsSkewPart( [[3,1,1], [2,1]] );
                                   TRUE
>> muEC::TYP::IsSkewDiag( [[3,2], [1,1]] );
                                   TRUE

Related Functions

IsPart, IsSkewPart

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MuPAD Combinat, an open source algebraic combinatorics package