Homological properties of color Lie superalgebras

2005/06/14 by Kenneth L. Price
Mathematics · #math.RA #math.RT #msc:17B55 #msc:17B35

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published as Advances in ring theory (Granville, OH, 1996), 287--293, Trends Math., Birkhauser, Boston, MA, 1997 · This 7-page article appeared in a conference proceedings which is now out of print

arxiv created 2005/06/14 · arxiv updated 2009/12/01

Abstract

Let L=L₊⊕ L_- be a finite dimensional color Lie superalgebra over a field of characteristic 0 with universal enveloping algebra U(L). We show that \limfuncgldim(U(L₊))= \limfunclFPD(U(L))= \limfuncrFPD(U(L))= \limfuncinjdim_U(L)(U(L))= dim (L₊). We also prove that U(L) is Auslander-Gorenstein and Cohen-Macaulay and thus that it has a QF classical quotient ring.

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