Burde's series of simple pre-Lie algebras
Vsevolod Gubarev
TL;DR
This paper investigates the automorphisms, derivations, and Rota--Baxter operators on a series of simple pre-Lie algebras identified by D. Burde, providing a detailed algebraic analysis.
Contribution
It offers a comprehensive description of the automorphisms, derivations, and Rota--Baxter operators on Burde's simple pre-Lie algebras, expanding understanding of their structure.
Findings
Characterization of automorphisms of Burde's pre-Lie algebras
Identification of derivations on these algebras
Construction of Rota--Baxter operators for the series
Abstract
We describe automorphisms, derivations, and Rota -- Baxter operators on the series of simple pre-Lie algebras found by D. Burde in 1998.
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