Geodesic
ACTIONS OF LIE SUPERALGEBRAS ON SEMIPRIME ALGEBRAS WITH CENTRAL INVARIANTS
Glasgow mathematical journal, Tome 52 (2010) no. A, pp. 93-102

Voir la notice de l'article provenant de la source Cambridge University Press

Let R be a semiprime algebra over a field of characteristic zero acted finitely on by a finite-dimensional Lie superalgebra L = L0 ⊕ L1. It is shown that if L is nilpotent, [L0, L1] = 0 and the subalgebra of invariants RL is central, then the action of L0 on R is trivial and R satisfies the standard polynomial identity of degree 2 ⋅ []. Examples of actions of nilpotent Lie superalgebras, with central invariants and with [L0, L1] ≠ 0, are constructed. 
GRZESZCZUK, PIOTR; HRYNIEWICKA, MAŁGORZATA. ACTIONS OF LIE SUPERALGEBRAS ON SEMIPRIME ALGEBRAS WITH CENTRAL INVARIANTS. Glasgow mathematical journal, Tome 52 (2010) no. A, pp. 93-102. doi: 10.1017/S0017089510000236
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     title = {ACTIONS {OF} {LIE} {SUPERALGEBRAS} {ON} {SEMIPRIME} {ALGEBRAS} {WITH} {CENTRAL} {INVARIANTS}},
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