[GAP Forum] Casimir Invariants of Lie Algebras

[Willem De Graaf]

Dear R.N. Tsai,

Unfortunately in GAP there is no algorithm implemented
to find the centre of a universal enveloping algebra of a
split semisimple Lie algebra. The only algorithm that
I know for this purpose constructs a set of linear equations
for the generators of the centre. However, for all but a few
small cases that is very inefficient, as the number of
equations quickly becomes huge.

Sorry for not being able to help more.

Best wishes,

Willem de Graaf