The loop of formal power series with noncommutative coefficients under\n substitution

2018/03/12 by José M. Pérez-Izquierdo, Pérez-Izquierdo, José M.
Engineering · Mathematics · #17B66 #17D99 #20N05 #Advanced Topics in Algebra #FOS: Mathematics #Group Theory (math.GR) #Mathematics and Applications #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1803.04441

openalex publication_date 2018/03/12 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

The set of formal power series with coefficients in an associative but\nnoncommutative algebra becomes a loop with the substitution product. We\ninitiate the study of this loop by describing certain Lie and Sabinin algebras\nrelated to it. Some examples of Lie algebras satisfying the standard identities\nof degrees 5 and 6 appear naturally.\n

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