Gradings of non-graded Hamiltonian Lie algebras
| dc.creator | Caranti, Andrea | |
| dc.creator | Mattarei, Sandro | |
| dc.date | 2005-10-20 | |
| dc.date.accessioned | 2026-07-07T06:47:42Z | |
| dc.date.available | 2026-07-07T06:47:42Z | |
| dc.description | A thin Lie algebra is a Lie algebra graded over the positive integers satisfying a certain narrowness condition. We describe several cyclic grading of the modular Hamiltonian Lie algebras $H(2\colon\n;ω_2)$ (of dimension one less than a power of $p$) from which we construct infinite-dimensional thin Lie algebras. In the process we provide an explicit identification of $H(2\colon\n;ω_2)$ with a Block algebra. We also compute its second cohomology group and its derivation algebra (in arbitrary prime characteristic). | |
| dc.description | 36 pages, to be published in J. Austral. Math. Soc. Ser. A | |
| dc.identifier | https://arxiv.org/abs/math/0510431 | |
| dc.identifier | http://arxiv.org/abs/math/0510431 | |
| dc.identifier | J. Aust. Math. Soc. 79 (2005), no. 3, 399-440 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103742 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17B50; 17B70, 17B56, 17B65 | |
| dc.title | Gradings of non-graded Hamiltonian Lie algebras | |
| dc.type | text |