> < ^ Date: Sun, 13 Jul 1997 12:34:29 +0400
> < ^ From: Anatol V. Rukolaine <rukolaha@tower.hop.stu.neva.ru >
^ Subject: About Symmetrisations for Characters.

Dear GAP Forum,

I've been trying to use GAP-function "Symmetrisations". In the manual
for GAP-3.4.3 in Section {Symmetrisations} I found an example:

gap> t:= CharTable( "A5" );;
gap> chars:= Sublist( t.irreducibles, [ 1 .. 3 ] );;
gap> Symmetrisations( t, chars, 3 );
[ [ 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0 ], [ 1, 1, 1, 1, 1 ],
. . . . . . .

I modified the example and didnot receive results:

gap> Ch_T:=CharTable("A5");
CharTable( "A5" )

gap> Chars:=Sublist(Ch_T.irreducibles,[1..3]);
[ [ 1, 1, 1, 1, 1 ], [ 3, -1, 0, -E(5)-E(5)^4, -E(5)^2-E(5)^3 ],
  [ 3, -1, 0, -E(5)^2-E(5)^3, -E(5)-E(5)^4 ] ]

gap> Symmetrisations(Ch_T,Chars,3);
Error, List Element: <list>[1] must have a value at
lst[i] := fun( arg[1][i] ) ... in
List( powermap, Length ) called from
Symmetrisations( Ch_T, Chars, 3 ) called from
main loop
brk> . . .

Why? Maybe the reason of such error is in following. I saw after
printing Ch_T.powermap in RecFields:

[ , [ 1, 1, 3, 5, 4 ], [ 1, 2, 1, 5, 4 ],, [ 1, 2, 3, 1, 1 ] ]

So, <list>[1] havenot a value.

What am I to do?

In the hope of help
Anatolii^ Rukolaine (St.Petersburg, Russia).

My home E-mail: rukolaha@tower.hop.stu.neva.ru


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