Homological properties of color Lie superalgebras
| dc.creator | Price, Kenneth L. | |
| dc.date | 2005-06-14 | |
| dc.date | 2005-06-14 | |
| dc.date.accessioned | 2026-07-07T05:20:44Z | |
| dc.date.available | 2026-07-07T05:20:44Z | |
| dc.description | Let $\mathcal{L}=\mathcal{L}_{+}\oplus \mathcal{L}_{-}$ be a finite dimensional color Lie superalgebra over a field of characteristic 0 with universal enveloping algebra $U(\mathcal{L})$. We show that $\limfunc{gldim}(U(\mathcal{L}_{+}))= \limfunc{lFPD}(U(\mathcal{L}))= \limfunc{rFPD}(U(\mathcal{L}))= \limfunc{injdim}_{U(\mathcal{L})}(U(\mathcal{L}))= \dim (\mathcal{L}_{+})$. We also prove that $U(\mathcal{L})$ is Auslander-Gorenstein and Cohen-Macaulay and thus that it has a QF classical quotient ring. | |
| dc.description | This 7-page article appeared in a conference proceedings which is now out of print | |
| dc.identifier | https://arxiv.org/abs/math/0506262 | |
| dc.identifier | http://arxiv.org/abs/math/0506262 | |
| dc.identifier | Advances in ring theory (Granville, OH, 1996), 287--293, Trends Math., Birkhauser, Boston, MA, 1997 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75482 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Representation Theory | |
| dc.subject | 17B55 (16S30 17B35 17B70) | |
| dc.title | Homological properties of color Lie superalgebras | |
| dc.type | text |