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Ancochea Bermúdez, José María ; Campoamor Stursberg, Otto Ruttwig ; García Vergnolle, Lucía | Hikari | 2006Let g = s n r be an indecomposable Lie algebra with nontrivial semisimple Levi subalgebra s and nontrivial solvable radical r. In this note it is proved that r cannot be isomorphic to a filiform nilpotent Lie algebra. The proof uses the fact tha[...]texto impreso
We classify the Kronecker products Dj1?...?Djn of su(2)-multiplets that are compatible with Heisenberg-Weyl algebras by means of the analysis of antisymmetric Kronecker products. Alternative formulae for the decomposition of the latter are obtained.texto impreso
We point out an omission in the classification of nine dimensional real indecomposable Lie algebras having a nontrivial Levi decomposition.texto impreso
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This paper consists of a description of the variety of two dimensional associative algebras within the framework of Nonstandard Analysis. By decomposing each algebra in A2 as sum of a Jordan algebra and a Lie algebra, we calculate th isomorphism[...]texto impreso
We prove that two of the counterexamples of contractions inequivalent to a generalized Inönü-Wigner contraction exhibited in [1] are incorrect. An alternative characterization of general contractions is proposedtexto impreso
We prove that the missing label operators for the state labelling problem in the Wigner supermultiplet model su(2)×su(2) ? su(4) can be solved naturally without explicitly using enveloping algebras. Considering a contraction of Lie algebras natu[...]
