2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156125The purpose of this paper is to find maximal and primitive elements of baby Verma modules for a quantum group of type $B_2$. As a consequence the composition factors of the baby Verma modules are determined. Similar approach can be used to find find maximal and primitive elements of Weyl modules for type $B_2$.20 pagesQuantum AlgebraRepresentation Theory17B37Maximaland Primitive Elements in Baby Verma Modules for Type $B_2$text