Cohomology of Filippov algebras and an analogue of Whitehead's lemma. (arXiv:0905.3083v1 [math-ph])
Authors: Jose A. de Azcarraga , J. M Izquierdo
We show that two cohomological properties of semisimple Lie algebras also
hold for Filippov (n-Lie) algebras, namely, that semisimple n-Lie algebras do
not admit non-trivial central extensions and that they are rigid i.e., cannot
be deformed in Gerstenhaber sense. This result is the analogue of Whitehead's
Lemma for Filippov algebras... read more
