The theorems on freedom for relatively free Lie algebras with a relations

2022/01/31 by A. F. Krasnikov, Krasnikov, A. F.
Mathematics · #17B01 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2201.12966

openalex publication_date 2022/01/31 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

In this paper we prove the theorem on freedom for relatively free Lie algebras with a single relation (analogous with the well-known result of Shirshov) and a generalized Freiheitssatz for relatively free Lie algebras (analogous with the well-known result of Kharlampovich).

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