The natural filtrations of infinite-dimensional Lie superalgebras of [Formula: see text]-type over a field of positive characteristic are proved to be invariant under automorphisms by studying ad-nilpotent elements. We observe that two Lie superalgebras of [Formula: see text]-type are isomorphic if and only if the integers in the definition of these Lie superalgebras are intrinsic. Thereby, all the Lie superalgebras of [Formula: see text]-type are classified in the sense of isomorphism.
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Xu et al. (2024) studied this question.
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