On a family of Lie algebras of characteristic $p$
On a family of Lie algebras of characteristic $p$
AND RIMHAK REE(i) Introduction.We study a family of Lie algebras of characteristic p which are defined as subalgebras of the derivation algebra of the group algebra of an elementary p-group.In particular we show that simple Lie algebras of dimensions m(p" -l), mpn, p" -2, where m and ra are arbitrary …