A converse to the Second Whitehead Lemma
classification
🧮 math.RA
math.KT
keywords
finite-dimensionalsecondalgebrascharacteristiccohomologyconverseessentiallyevery
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We show that finite-dimensional Lie algebras over a field of characteristic zero such that the second cohomology group in every finite-dimensional module vanishes, are, essentially, semisimple.
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