In this talk we will present some results on Filippov superalgebras which
are a very natural generalization of Lie algebras to the case of n-ary
operation of multiplication. We will show a connection of Filippov
superalgebras with Lie superalgebras and how to use it to classify the
simple Filippov superalgebras.
Alexander Pozhidaev (Sobolev Inst Math, Sib. Branch Russian Acad. Sciences)
September 21, 2006