Maximal tori of the Frank algebra

M. I. Kuznetsov ; O. A. Mulyar

Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 1, pp. 143-154.

Résumé

A complete description of conjugate classes of maximal tori and corresponding 1-sections is obtained for the exceptional simple Lie $p$-algebra of characteristic 3 of the Frank series. In particular, it is proved that all maximal tori are two-dimensional and they are Cartan subalgebras.

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