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.

Location: http://mech.math.msu.su/~fpm/eng/k1112/k111/k11108h.htm

Last modified: January 31, 2012