ON THE HOMOGENIZED ENVELOPING ALGEBRA OF THE LIE ALGEBRA Sl(2,C) II

MARTÍNEZ-VILLA, ROBERTO

Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 189-219

Résumé

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 $\mathcal{O}$ B of the Bernstein–Gelfand–Gelfand category $\mathcal{O}$ of sl(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 $\mathcal{O}$ B and $\mathcal{O}$ as well as, between the derived categories $\mathcal{D}$ b ( $\mathcal{O}$ B ) and $\mathcal{D}$ b ( $\mathcal{O}$ ).

Détail

DOI : 10.1017/S0017089516000112

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