We consider a class of thin Lie algebras with second diamond in weight a power of the characteristic of the underlying field. We identify these Lie algebras with loop algebras of a graded Hamiltonian algebra or loop algebras of an extension of the Hamiltonian algebra by an outer derivation. We also prove that the Lie algebras considered are not finitely presented.

Avitabile, M. (2002). Some loop algebras of Hamiltonian Lie algebras. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 12(4), 535-567 [10.1142/S0218196702001097].

Some loop algebras of Hamiltonian Lie algebras

AVITABILE, MARINA
2002

Abstract

We consider a class of thin Lie algebras with second diamond in weight a power of the characteristic of the underlying field. We identify these Lie algebras with loop algebras of a graded Hamiltonian algebra or loop algebras of an extension of the Hamiltonian algebra by an outer derivation. We also prove that the Lie algebras considered are not finitely presented.
Articolo in rivista - Articolo scientifico
graded Lie algebras, modular Lie algebras, loop algebras, hamiltonian lie algebras
English
2002
12
4
535
567
none
Avitabile, M. (2002). Some loop algebras of Hamiltonian Lie algebras. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 12(4), 535-567 [10.1142/S0218196702001097].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/2268
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