Lie algebra \(K(n,{{\mu{}}_ j},m)\) of Cartan type of characteristic \(p=2\) (Q1200104)

Let \(K(n,\mu_ j,{\mathfrak m})\), \(n=2r+1\), be the (simple) contact Lie algebra of characteristic 2. In the article under review, it is shown that \(K(n,\mu_ j,{\mathfrak m})\) is restricted if and only if \({\mathfrak m}=(1,\dots,1)\). The invariance of the noncontractible filtration of \(K(n,\mu_ j,{\mathfrak m})\) is proved. Necessary conditions for isomorphism of \(K(n,\mu_ j,{\mathfrak m})\) and \(K(n',\mu_ j',{\mathfrak m}')\) are obtained. Finally, the derivation algebra of \(K(n,\mu_ j,{\mathfrak m})\) is determined.