Abstract
If g is a Lie algebra of derivations of an associative algebra R, then the subalgebra of invariants is the set R g = {r E R | δ(r) = 0 for all δ ∈ g}. In this paper, we study the relationship between the structure of R 9 and the structure of R, where g is a finite dimensional semisimple Lie algebra over a field of characteristic zero acting finitely on R, when R is semiprime.
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