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Register a new userOn Lie $p$-algebras of cohomological dimension one
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Authors
Pasha Zusmanovich
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We prove that a Lie $p$-algebra of cohomological dimension one is one-dimensional, and discuss related questions.
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For most complex 9-dimensional filiform Lie algebra we find another non isomorphic Lie algebra that degenerates to it. Since this is already known for nilpotent Lie algebras of rank $geq 1$, only the characteristically nilpotent ones should be considered.
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