✦ LIBER ✦

Simple Lie Algebras and Graphs

✍ Scribed by J.J. Rotman; P.M. Weichsel

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 603 KB
Volume: 169
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1994.1307

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✦ Synopsis

Kaplansky introduced several classes of central simple Lie algebras in characteristic 2. We view these algebras in terms of graphs, and we classify them using a theorem of Shult characterizing graphs with the "cotriangle condition"; there is also a connection with Fischer's theorem on groups generated by 3-transpositions. Uniqueness of these algebras is phrased in terms of their cohomology, and a lower bound for (\operatorname{dim} H^{1}) of these algebras is given. 1994 Academic Press. Inc

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