The Coordinate Algebra Of The Quantum Groups And The Some Properties Of Functor D

Let A=Z[v]_m, v is an indeterminate and m is the ideal in Z[v]denerated by v-land an odd prime p. u be a quantum group over Awith a symmetric Cartan matrix (a_ij)_{1≤i, j≤n}. Let U=U^-U⁰U⁺, setU^?=U⁰U⁺, A[U] is the coordinate algebra of U. D is a functor fromcategory of integrable u^? modules to category of integrable U modulesof finite A. we analysis some results of the structure ofδ(U)andγ(U)modules of the coordinate algebra A[U]. we also analysis somevanishing properties and right exact of the functor D.