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SYMF::Table2Sf -- converts a table into a symmetric function

Call(s)


SYMF::Table2Sf(t,b)

Parameters

t- a table representing a symmetric function
b- any name of known basis

Introduction

The SYMF::Table2Sf function converts a table into a symmetric function. The table is indexed by partitions (possibly empty) and each entry that corresponds to a partition part is interpreted as the coefficient of b[part] in the expression of the symmetric function in the basis b.

Example 1

>> t := table([]=q, [3,1,1]=q^2, [4,2]=q+1);
                             table(
                               [4, 2] = q + 1,
                                            2
                               [3, 1, 1] = q ,
                               [] = q
                             )
>> muEC::SYMF::Table2Sf(t, s);
                                             2
                  q s[] + (q + 1) s[4, 2] + q  s[3, 1, 1]

Related Functions

Sf2Table

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MuPAD Combinat, an open source algebraic combinatorics package