Rigidity results for Lie algebras admitting a post-Lie algebra structure
نویسندگان
چکیده
We study rigidity questions for pairs of Lie algebras [Formula: see text] admitting a post-Lie algebra structure. show that if is semisimple and arbitrary, then we have in the sense must be isomorphic. The proof uses result on decomposition as direct vector space sum two subalgebras. hence isomorphic to text]. This solves some open existence structures prove additional results text], where complete, pairs, reductive with text]-dimensional center solvable or nilpotent.
منابع مشابه
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2022
ISSN: ['0218-1967', '1793-6500']
DOI: https://doi.org/10.1142/s0218196722500679