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The multiplier and cohomology of Lie superalgebras

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 نشر من قبل Wende Liu
 تاريخ النشر 2018
  مجال البحث
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In this paper, all (super)algebras are over a field $mathbb{F}$ of characteristic different from $2, 3$. We construct the so-called 5-sequences of cohomology for central extensions of a Lie superalgebra and prove that they are exact. Then we prove that the multipliers of a Lie superalgebra are isomorphic to the second cohomology group with coefficients in the trivial module for the Lie superalgebra under consideration.



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