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

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[cursi...

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Veröffentlicht in:Glasgow mathematical journal 2017-01, Vol.59 (1), p.189-219
1. Verfasser: MARTÃNEZ-VILLA, ROBERTO
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Algebra
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Homogenization
Homogenizing
Lie groups
Mathematical analysis
Modules
Rings (mathematics)
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description 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] ).
doi_str_mv 10.1017/S0017089516000112
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subjects Algebra
Categories
Homogenization
Homogenizing
Lie groups
Mathematical analysis
Modules
Rings (mathematics)
title ON THE HOMOGENIZED ENVELOPING ALGEBRA OF THE LIE ALGEBRA S[cursive l](2,C) II
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