In un'algebra di Lie graduata thin, la classe in cui compare il secondo diamante e la caratteristica del campo soggiacente determinano se l'algebra stessa abbia o meno dimensione finita ed in tal caso forniscono anche un limite superiore a tale dimensione.
@article{BUMI_2001_8_4B_3_597_0,
author = {M. Avitabile and G. Jurman},
title = {Diamonds in thin Lie algebras},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {4-A},
year = {2001},
pages = {597-608},
zbl = {1139.17306},
mrnumber = {1859998},
language = {en},
url = {http://dml.mathdoc.fr/item/BUMI_2001_8_4B_3_597_0}
}
Avitabile, M.; Jurman, G. Diamonds in thin Lie algebras. Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001) pp. 597-608. http://gdmltest.u-ga.fr/item/BUMI_2001_8_4B_3_597_0/
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