[GAP Forum] Casimir Invariants of Lie Algebras

Willem De Graaf degraaf at science.unitn.it
Wed Apr 19 16:29:10 BST 2006

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

More information about the Forum mailing list