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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2012 Volume 17, Issue 1, Pages 143–154 (Mi fpm1393)

Maximal tori of the Frank algebra

M. I. Kuznetsov, O. A. Mulyar

N. I. Lobachevski State University of Nizhni Novgorod

Abstract: 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.

UDC: 512.554.31


 English version:
Journal of Mathematical Sciences (New York), 2012, 185:3, 440–447

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