FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 1, PAGES 143-154

Maximal tori of the Frank algebra

M. I. Kuznetsov
O. A. Mulyar

Abstract

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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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Last modified: January 31, 2012