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.File in questo prodotto:
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