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COMMENT:
MISCellaneous-Functions
-----------------------
NAME:
complete_complete_plet
SYNOPSIS:
INT complete_complete_plet(OP a, OP b, OP c)
DESCRIPTION:
Computes the plethysm of two complete symmetric functions labeled
by INTEGER objects. The first parameter is the outer one, so we
compute h_a(h_b). The result is a SCHUR object.
EXAMPLE:
#include "def.h"
#include "macro.h"
ANFANG
scan(INTEGER,a);
scan(INTEGER,b);
complete_complete_plet(a,b,c);
println(c);
ENDE
NAME:
complete_schur_plet
SYNOPSIS:
INT complete_schur_plet(OP a, OP b, OP c)
DESCRIPTION:
Computes the plethysm of a complete symmetric function labeled by
the INTEGER object a and the Schurfunction labeled by the INTEGER
or PARTITION object b. The result will be a SCHUR function c. The
complete function is the outer one, so we compute h_a(s_b)
EXAMPLE
#include "def.h"
#include "macro.h"
ANFANG
scan(INTEGER,a);
scan(PARTITION,b);
complete_schur_plet(a,b,c);
println(c);
ENDE
NAME:
elementary_schur_plet
SYNOPSIS:
INT elementary_schur_plet(OP a, OP b, OP c)
DESCRIPTION:
Computes the plethysm of a elementary symmetric function labeled by
the INTEGER object a and the Schurfunction labeled by the INTEGER
or PARTITION object b. The result will be a SCHUR function c. The
elementary function is the outer one, so we compute e_a(s_b).
EXAMPLE:
#include "def.h"
#include "macro.h"
ANFANG
scan(INTEGER,a);
scan(PARTITION,b);
elementary_schur_plet(a,b,c);
println(c);
ENDE
NAME:
power_schur_plet
SYNOPSIS:
INT power_schur_plet(OP a, OP b, OP c)
DESCRIPTION:
Computes the plethysm of a power symmetric function labeled by
the INTEGER object a and the Schurfunction labeled by the INTEGER
or PARTITION object b. The result will be a SCHUR function c. The
complete function is the outer one, so we compute p_a(s_b).
EXAMPLE:
#include "def.h"
#include "macro.h"
ANFANG
scan(INTEGER,a);
scan(PARTITION,b);
power_schur_plet(a,b,c);
println(c);
ENDE
NAME:
schur_schur_plet
SYNOPSIS:
INT schur_schur_plet(OP a, OP b, OP c)
DESCRIPTION:
Computes the plethysm of two Schurfunctions labeled by a PARTITION
object or by an INTEGER object. The first parameter is the outer one,
so we compute s_a(s_b). The result is a SCHUR object.
EXAMPLE:
#include "def.h"
#include "macro.h"
ANFANG
scan(PARTITION,a);
scan(PARTITION,b);
schur_schur_plet(a,b,c);
println(c);
ENDE
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