Root graded Lie superalgebras which appear as the centerless cores of extended affine Lie superalgebras (Q2809967)

This paper deals with extended affine Lie superalgebras and root graded Lie superalgebras. Firstly, the author introduces the concept of \textit{affine Lie superalgebras} starting from a super-toral triple with a given root system. It allows the author to define the \textit{affine reflection algebra} and the \textit{locally extended affine Lie algebra}. Later, after defining the concept of \textit{extended affine root supersystem}, the author introduced the concept of \textit{\((R, \Lambda)\)-graded Lie superalgebra} starting from the locally finite root super-system \((A, (\cdot \, , \, \cdot), R)\) and the additive abelian group \(\Lambda.\) All these concepts allow the author to show how a root graded Lie superalgebra can appears as the centerless core of an extended affine Lie superalgebra.