Structure and Root Multiplicities for Two Classes of Extended Hyperbolic Kac-Moody Algebras Eha _1 ~((1)) and Eha_2 ~((2)) for all Cases

摘要

In this article, we give a realization, determine the homology modules, the structure of maximal ideals, and also compute the root multiplicities for two classes of extended hyperbolic Kac-Moody algebras Eha _1 ~((1)) and Eha _2 ~((2)) for all cases in general.