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Cohomologically rigid solvable Leibniz algebras with nilradical of arbitrary characteristic sequence - MaRDI portal

Cohomologically rigid solvable Leibniz algebras with nilradical of arbitrary characteristic sequence (Q2191383)

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Cohomologically rigid solvable Leibniz algebras with nilradical of arbitrary characteristic sequence
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    Cohomologically rigid solvable Leibniz algebras with nilradical of arbitrary characteristic sequence (English)
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    24 June 2020
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    The authors describe the \((n + s)\)-dimensional solvable Leibniz algebras whose nilradical has characteristic sequence \((m_1,\ldots, m_s)\), where \(m_1+\ldots+ m_s=n\). Moreover, the authors prove that such Leibniz algebras \(L\) have the trivial center, every derivation of \(L\) is inner, and the second cohomology group \(HL^2(L,L)\) is trivial.
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    Leibniz algebra
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    solvable algebra
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    nilradical
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    rigid algebra
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    second cohomology group
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