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On the Cohomology of Associative Superalgebras 被引量:1

On the Cohomology of Associative Superalgebras
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摘要 This paper presents a sufficient condition for the cohomology groups of an associative superalgebra to vanish. As its application, we prove that the cohomology groups H n(L,M) vanish when L is a strongly semisimple Lie superalgebra and M is an irreducible faithful L module. This paper presents a sufficient condition for the cohomology groups of an associative superalgebra to vanish. As its application, we prove that the cohomology groups H n(L,M) vanish when L is a strongly semisimple Lie superalgebra and M is an irreducible faithful L module.
作者 王颖 姚光同
出处 《Northeastern Mathematical Journal》 CSCD 2001年第2期175-180,共6页 东北数学(英文版)
关键词 COHOMOLOGY associative superalgebra Lie superalgebra cohomology, associative superalgebra, Lie superalgebra
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参考文献7

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