Type: Article

On the homogenized enveloping algebra of lie algebra sl (2, c) II

Martínez Villa, Roberto;

Abstract:

In a previous paper, we studied the homogenized enveloping algebra of the Lie algebra sl(2, C) and the homogenized Verma modules. The aim of this paper is to study the homogenization O-B of the Bernstein-Gelfand-Gelfand category O of sl(2, C), and to apply the ideas developed jointly with J. Mondrag ' on in our work on Groebner basis algebras, to give the relations between the categories O-B and O as well as, between the derived categories D-b(O-B) and D-b(O).