IN this note the infinite-dimensional Lie superalgebras of Cartan type X(m, n) (X = W, S, H or K) over field F of prime characteristic are constructed. Then the second class of finite-dimensional Lie superalgebras of Cartan type over F is defined. Their simplicity and re-strictability are discussed. Finally a conjecture about classification of the finite-dimensional simple Lie superalgebras over F is given.
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