Embedding of post-Lie algebras into postassociative algebras
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Publication:5137275
DOI10.1142/9789811215476_0007zbMATH Open1448.17021arXiv1808.08839OpenAlexW3007192899MaRDI QIDQ5137275
Publication date: 2 December 2020
Published in: New Trends in Algebras and Combinatorics (Search for Journal in Brave)
Abstract: Applying Groebner-Shirshov technique, we prove that any post-Lie algebra injectively embeds into its universal enveloping postassociative algebra.
Full work available at URL: https://arxiv.org/abs/1808.08839
Post algebras (lattice-theoretic aspects) (06D25) Yang-Baxter equations and Rota-Baxter operators (17B38) Gröbner-Shirshov bases in nonassociative algebras (17A61)
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