Generalized Extension of Morphisms in Geometry of Configuration and Infinitesimal Polylogarithmic Groups Complexes

Abstract

In this research work, a generalized extension of morphisms has been proposed to define generalized geometry between the two generalized chain complexes: Grassmannian configuration, and a variant of Cathelineau infinitesimal. Initially, the new morphisms are introduced to extend the geometry of Grassmannian and variant of Cathelineau infinitesimal chain complexes for weight n = 6. Finally, generalizations of this extension are proposed through generalized morphisms, and the commutativity of associated diagrams is also shown.