Hello,
I am currently experimenting with computations in simple modular Lie
algebras of Cartan type, but I am a bit confused with what basis GAP
considers. Let me explain more precisely.
Say I wish to consider the restricted Lie algebra W_2, whose elements I
view for instance as derivations of the truncated polynomial ring
F[x,y]/(x^p,y^p). Now if I give the following code to GAP:
F:=GF(5);
W:=SimpleLieAlgebra("W",[1,1],F);
b:=BasisVectors(Basis(L));
to what elements of W_2 do the vectors b[1],b[2],...,b[50] correspond?
And what about more general Cartan type Lie algebras?
Regards,
JM. Bois
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