For each characteristic sequence (n1,...,nk,1), the paper constructs a unique centerless solvable Leibniz algebra R whose first and second cohomology groups with coefficients in itself vanish, so R is complete and cohomologically rigid.
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Some cohomologically rigid solvable Leibniz algebras
For each characteristic sequence (n1,...,nk,1), the paper constructs a unique centerless solvable Leibniz algebra R whose first and second cohomology groups with coefficients in itself vanish, so R is complete and cohomologically rigid.