科研之友
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摘要
Nongraded simple Lie algebras appear naturally in mathematical physics. In this paper, a new class of nongraded simple Lie algebras are presented based on the pairs (A, D) consisting of a commutative associative unital algebra A and a finite dimensional commutative derivation subalgebra D such that A is D-simple. The isomorphism classes of these nongraded Lie algebras are also determined and the structure space of these algebras is given explicitly.
