Avitabile, Marina and Mattarei, Sandro (2005) Thin Lie algebras with diamonds of finite and infinite type. Journal of Algebra, 293 (1). pp. 34-64. ISSN 0021-8693
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18515 1-s2.0-S0021869305004680-main.pdf - Whole Document Restricted to Repository staff only 244kB |
| Item Type: | Article |
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| Item Status: | Live Archive |
Abstract
We investigate a class of infinite-dimensional modular Lie algebras, graded over the positive integers, in which every homogeneous component has dimension one or two. We identify these Lie algebras with loop algebras of certain simple Lie algebras of Hamiltonian type. These Lie algebras are not finitely presented, but certain central extensions of them are, and we give an explicit construction for the latter.
| Keywords: | Modular Lie algebras, Graded Lie algebras, Central extensions, Finitely presented Lie algebras, Loop algebras |
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| Subjects: | G Mathematical and Computer Sciences > G100 Mathematics |
| Divisions: | College of Science > School of Mathematics and Physics |
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| ID Code: | 18515 |
| Deposited On: | 16 Nov 2016 13:39 |
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