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交换环上一个线性李超代数的导子

SUPERDERIVATIONS OF SOME LIE SUPERALGEBRA OVER ABELIAN RINGS
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摘要 本文研究了交换环上一个李超代数的导子.利用构造几类特殊的导子,获得了此李超代数的任意导子是几类特殊导子的和.推广了交换环上李代数的导子. In this paper, we study the superderivations of a Lie superalgebra. By constructing some kinds of special derivations, we obtain the result that the derivations of the superalgebra are the sum of the special derivations. This develops the result on the Lie algebra.
出处 《数学杂志》 CSCD 北大核心 2011年第1期62-68,共7页 Journal of Mathematics
关键词 超导子 交换环 李超代数 superderivation commutative ring Lie superalgebra
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参考文献5

  • 1Wang Dengyin. Derivations of the intermediate Lie algebras between the Lie algebra of Diagonal matrices and that of upper triangular matrices over a commutative ring[J]. Linear Multilinear Algebra, 2006, 54: 369-377.
  • 2Cao Youan. Automorphisms of Lie algebras of strictly upper triangular matrices over certain commutative ring [J]. Linear Algebra Appl., 2001, 329:175- 187.
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