In this paper, the authors define roots in terms of the length of the root chains211u001ethey give rise to, and show that any Lie superalgebra with Cartan decomposition 211u001eand nondegenerate bilinear form, containing a regular element, whose roots are 211u001eeither of finite or infinite type, and satisfying another natural technical 211u001econdition, is a direct sum of finite dimensional classical Lie superalgebras and 211u001eaffine Lie superalgebras with symmetrizable Cartan matrices, and GKM 211u001esuperalgebras. The authors defined GKM superalgebas by generators and relations 211u001eand proved a generalization of the character formula for its lowest weight 211u001emodules. The authors start by giving a broader definition of GKM superalgebras 211u001ethat includes their central extensions as in the case of a GKM algebra, it might 211u001ebe useful to include them; and the authors study the properties of their roots.
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