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 ≠ A(m; n), B(m; n), BC(m; n), C(m; n). © 2018 Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.