2022/10/21 by A. F. Krasnikov, Krasnikov, A. F.
Mathematics · #17B01 #Adjoint representation of a Lie algebra #Advanced Topics in Algebra #Algebra over a field #Computer science #FOS: Mathematics #Group Theory (math.GR) #Lie algebra #Lie conformal algebra #Mathematics #Non-associative algebra #Pure mathematics #Relation (database) #Spectral Theory in Mathematical Physics #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.2210.11849
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2022/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we prove the theorem on freedom for free sums of Lie algebras with a single relation (analogous with the well-known result of Shirshov) and a generalized Freiheitssatz for free sums of Lie algebras (analogous with the well-known result of Kharlampovich).