Quasi Affine Generalized Kac Moody Algebras QAGGD 3 (2) : Dynkin diagrams and ischolar_main multiplicities for a class of QAGGD 3 (2)

In this paper quasi affine generalized Kac Moody algebras(GKM) QAGGD₃⁽²⁾ are considered; the non isomorphic, connected Dynkin diagrams associated with this particular class of QAGGD₃⁽²⁾ are classified with their general form given; Specific class of these quasi affine generalized Kac Moody algebras QAGGD₃⁽²⁾ are then considered and some ischolar_main multiplicities are computed; First , we begin with  a general family QAGGD₃⁽²⁾  of symmetrizable Generalized Generalized Cartan Matrices (GGCM) of quasi affine type, with one imaginary simple ischolar_main,  which are obtained from the affine GCM D₃⁽²⁾ . The multiplicities of ischolar_mains of a class GKM algebras  QAGGD₃⁽²⁾, which are obtained as extensions of the affine family D₃⁽²⁾ are then determined;