Dear Forum,
Alper Odabaş wrote:
Good day.
I have some (maybe stupid) questions:
How can I get all elements of given algebra?
If your algebra is finite, then you can use `AsList'. E.g.:
gap> A := FullMatrixAlgebra(GF(2),2);
( GF(2)^[ 2, 2 ] )
gap> AsList(A);
[ [ <an immutable GF2 vector of length 2>, <an immutable GF2 vector of length
2> ],
[ ... (rest of output omitted for saving space) ... ]
For elements a,b in group G the command a^b in GAP computes (b^-1ab). How can I compute it in algebra case.
In general you cannot.
The reason for this is simply that in general not all elements
of an algebra are invertible.
is GAP best way in Commutative Algebra??? or CoCoA, Magma
I feel that I am not a neutral person in this respect, thus prefer to leave
commenting on this to other people.
Hope this helps,
Stefan Kohl
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