Caranti, A. and Mattarei, Sandro (2005) Gradings of nongraded Hamiltonian Lie algebras. Journal of the Australian Mathematical Society, 79 (3). pp. 399440. ISSN 14467887
Full content URL: https://doi.org/10.1017/S1446788700010983
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Item Type:  Article 

Item Status:  Live Archive 
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 infinitedimensional 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).
Keywords:  Modular Lie algebras, Graded Lie algebras, Derivations, Central extensions, Loop algebras 

Subjects:  G Mathematical and Computer Sciences > G100 Mathematics 
Divisions:  College of Science > School of Mathematics and Physics 
ID Code:  18529 
Deposited On:  17 Feb 2017 09:09 
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