CROSSED CORNERS OF LIE ALGEBRAS

Abstract

The concept of crossed modules of groups was first introduced by Whitehead in [1]. The lie algebra analog of crossed modules was studied by Kassel and Loday in [2]. Ellis, in [3], defined a Lie algebra version of crossed squares. In [4] the equivalence between simplicial lie algebras and these crossed structures was established. Later, quadratic modules of Lie algebra were presented in [5]. The study of quasi quadratic modules over Lie algebras can be found in [6]. For additional research, braided crossed modules of Lie algebras can also be given in [7,8,9].