Compact connected simple Lie skew braces are rigid (trivial on S^1 or have simple groups and trivial/almost-trivial brace); all compact connected solvable ones are trivial, but noncompact simple examples with solvable groups exist.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.GR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Proves solvability transfer from additive to multiplicative group in connected locally compact Hausdorff topological skew braces, with counterexamples omitting each hypothesis and rigidity when the additive group is abelian.
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On simple compact Lie skew braces
Compact connected simple Lie skew braces are rigid (trivial on S^1 or have simple groups and trivial/almost-trivial brace); all compact connected solvable ones are trivial, but noncompact simple examples with solvable groups exist.
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Solvability and Rigidity for Topological Skew Braces
Proves solvability transfer from additive to multiplicative group in connected locally compact Hausdorff topological skew braces, with counterexamples omitting each hypothesis and rigidity when the additive group is abelian.