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Projection of Wreath Products of Lie Algebras

Alexander A. Lašhi — 1980

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Sia K un dominio a ideali principali, che non sia un campo e sia L un'algebra di Lie su K . Principale risultato: Se L = A w r B , cioè se L è prodotto intrecciato delle algebre di Lie precarie A e B , ogni isomorfismo reticolare normale di L è indotto da un isomorfismo. Si prova anche, mediante un esempio, che per le algebre sopra un campo il teorema non è vero.

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