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New Simple Lie Algebras of Prime Characteristic

New Simple Lie Algebras of Prime Characteristic

Introduction.For a number of years, the only known simple Lie algepras of characteristic p>0 not analogues of the classical algebras of characteristic zero were those of dimension pn of H. Zassenhaus [9], and of dimension np" of N. Jacobson [5], both generalizations of the ^-dimensional algebras of E. Witt.During the …