ON THE HOMOGENIZED ENVELOPING ALGEBRA OF THE LIE ALGEBRA S[cursive l](2,C) II

In a previous paper, we studied the homogenized enveloping algebra of the Lie algebra s[cursive l](2,C) and the homogenized Verma modules. The aim of this paper is to study the homogenization [formula omitted: see PDF] B of the Bernstein-Gelfand-Gelfand category [formula omitted: see PDF] of s[cursive l](2,C), and to apply the ideas developed jointly with J. Mondragón in our work on Groebner basis algebras, to give the relations between the categories [formula omitted: see PDF] B and [formula omitted: see PDF] as well as, between the derived categories [formula omitted: see PDF] b ( [formula omitted: see PDF] B ) and [formula omitted: see PDF] b ( [formula omitted: see PDF] ).