Filtration, automorphisms, and classification of infinite-dimensional odd contact superalgebras (Q1945584)

Let \(\text{KO}(n, n+1)\) be the infinite-dimensional odd contact Lie superalgebra over a field of prime characteristic, a subalgebra of the generalized Witt subalgebra \(W(n, n+1)\). The main result of this paper is that if \(\text{KO}(n, n+1)\) is isomorphic to \(\text{KO}(m, m+1)\), then \(n = m\). This is accomplished by showing first that the principal filtration of \(\text{KO}(n, n+1)\) is invariant under automorphisms, and then using this to deduce that two automorphisms of \(\text{KO}(n, n+1)\) are the same if and only they coincide on the \((-1)\)-component of \(\text{KO}(n, n+1)\).