On 12 Jul 2012, at 17:58, Neha Makhijani <[email protected]> wrote:
> Can somebody please clarify as to why I am not able to get the irreducible
> representations of the dihedral group over GF(4)??
>
> IrreducibleRepresentations(DihedralGroup(10),GF(2^2));
> List Element: <position> must be a positive integer (not a boolean)
>
> Thanks!
>
> Neha
Dear Neha,
Sorry it took longer than we expected to fix this. Just released GAP 4.6.3
provides the default method for AbsoluteIrreducibleModules as a temporary
workaround for the problem which may cause returning wrong results or
producing an error when being called for a non-prime field. As a result,
your example now works:
gap> IrreducibleRepresentations(DihedralGroup(10),GF(2^2));
[ [ f1, f2 ] -> [ [ [ Z(2)^0 ] ], [ [ Z(2)^0 ] ] ],
[ f1, f2 ] -> [ [ [ Z(2^2), Z(2)^0 ], [ Z(2^2), Z(2^2) ] ],
[ [ 0*Z(2), Z(2)^0 ], [ Z(2)^0, Z(2^2) ] ] ],
[ f1, f2 ] -> [ [ [ Z(2^2)^2, Z(2^2)^2 ], [ Z(2)^0, Z(2^2)^2 ] ],
[ [ Z(2^2)^2, Z(2)^0 ], [ Z(2)^0, 0*Z(2) ] ] ] ]
Best wishes,
Alexander
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