ON THE HOMOGENIZED ENVELOPING ALGEBRA OF THE LIE ALGEBRA Sl(2,C) II
Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 189-219
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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 ( $\mathcal{O}$ ).
MARTÍNEZ-VILLA, ROBERTO. ON THE HOMOGENIZED ENVELOPING ALGEBRA OF THE LIE ALGEBRA Sl(2,C) II. Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 189-219. doi: 10.1017/S0017089516000112
@article{10_1017_S0017089516000112,
author = {MART\'INEZ-VILLA, ROBERTO},
title = {ON {THE} {HOMOGENIZED} {ENVELOPING} {ALGEBRA} {OF} {THE} {LIE} {ALGEBRA} {Sl(2,C)} {II}},
journal = {Glasgow mathematical journal},
pages = {189--219},
year = {2017},
volume = {59},
number = {1},
doi = {10.1017/S0017089516000112},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000112/}
}
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