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Gradings of non-graded Hamiltonian Lie algebras
Published online by Cambridge University Press: 09 April 2009
Abstract
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: n; ω2) (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: n; ω2) with a Block algebra. We also compute its second cohomology group and its derivation algebra (in arbitrary prime characteristic).
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 79 , Issue 3 , December 2005 , pp. 399 - 440
- Copyright
- Copyright © Australian Mathematical Society 2005
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