Carrara, Claretta:
(Finite) presentations of the Albert-Frank-Shalev Lie algebras
Bollettino dell'Unione Matematica Italiana Serie 8 4-B (2001), fasc. n.2, p. 391-427, Unione Matematica Italiana (English)
pdf (2.33 MB), djvu (382 Kb). | MR1831996 | Zbl 1177.17018
Sunto
In questo lavoro vengono studiate le algebre di Albert-Frank-Shalev. Queste sono algebre di Lie modulari di dimensione infinita, ottenute da un loop di certe algebre semplici di dimensione finita. Si dimostra che le algebre di Albert-Frank-Shalev sono unicamente determinate, a meno di elementi centrali o secondo centrali, da un certo quoziente finito-dimensionale. Tale risultato si ottiene dando la presentazione finita di un'algebra il cui quoziente sul secondo centro (infinito-dimensionale) è isomorfo alle algebre di Albert-Frank-Shalev.
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