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Generalized Lie structures of associative graded algebras with special involutions | Synapse

March 28, 2024Open Access

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Generalized Lie structures of associative graded algebras with special involutions

PBPilar BenitoUniversidad de La Rioja JLJesús LalienaUniversidad de La Rioja JSJuana Sánchez-OrtegaUniversity of Cape Town

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Resumen

We investigate the ε-Lie structure of K and K,K; here K denotes the skew-symmetric elements of an (ε,G)-Lie color algebra (obtained from an associated algebra A) with an ε-involution. The relationship with the (associative) ideals of A is also explored.

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Benito et al. (Thu,) studied this question.

synapsesocial.com/papers/68e71feab6db643587699b17 https://doi.org/https://doi.org/10.1016/j.geomphys.2024.105189

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Also Consider

Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context:

1The lie structure in prime rings with involution1972 · 34 citations
2On the lie structure of associative superalgebras1998 · 48 citations
3Generalized Lie algebras1979 · 378 citations