A STUDY ON THE HOMOLOGY MODULES AND THE STRUCTURE OF MAXIMAL IDEAL OF SUPER HYPERBOLIC KAC-MOODY ALGEBRAS
Considering the Kac-Moody algebras where of hyperbolic type, we extend it to the indefinite super Hyperbolic KM-algebras where At first, is realized as graded Lie algebras of KM type. Then, the homology modules and the structure of the maximal ideal is delimited using the methods of Hochschild-Serre spectral sequences theory.
homology, isomorphism, maximal ideal, reflections, spectral sequence, super hyperbolic.