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TYP::IseA -- tests whether the argument is a product of generators of the e-basis on a formal alphabet expression

Call(s)


TYP::IseA(expr)

Parameters

expr- any expression

Introduction

The TYP::IseA function tests whether expr is a product of generators of the e-basis on a formal alphabet expression, that is a product of elementary symmetric functions on a given alphabet.

The indexing vector must be a partition.

The alphabet can be for instance a polynomial in A1, A2, ....

Note that the Ai's are the only formal variables in alphabets.

Example 1

>> muEC::TYP::IseA( e[](A1-A2) );
                                   TRUE
>> muEC::TYP::IseA( e[3,3,1](k/3*A3) );
                                   TRUE

Related Functions

IshA, IsmA, IspA, IssA, SfA, Ise

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MuPAD Combinat, an open source algebraic combinatorics package