The Core of an Extended Affine Lie Superalgebra (A Characterization)

Abstract

We characterize a class of root graded Lie superalgebras containing a locally finite basic classical simple Lie superalgebra. As a by-product, we characterize the core and the core modulo the center of an extended affine Lie superalgebra whose root system is of finite type $X\ne A(m,n),B(m,n),BC(m,n),C(m,n).$