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Derivations of the subalgebras intermediate the general linear Lie algebra and the diagonal subalgebra over commutative rings

Deng Yin Wang;  Xian Wang — 2008

Archivum Mathematicum

Let R be an arbitrary commutative ring with identity, gl ( n , R ) the general linear Lie algebra over R , d ( n , R ) the diagonal subalgebra of gl ( n , R ) . In case 2 is a unit of R , all subalgebras of gl ( n , R ) containing d ( n , R ) are determined and their derivations are given. In case 2 is not a unit partial results are given.

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