Cyclic shifts and an exponential formula

DOI10.1016/0024-3795(89)90366-2zbMath0679.22004OpenAlexW1971137049MaRDI QIDQ1822641

Robert C. Thompson

Publication date: 1989

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(89)90366-2

zbMATH Keywords

invertible seriescyclic shiftsCampbell-Hausdorff formulafree associative algebraanalysis on Lie groupsGoldberg coefficients

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Structure theory for Lie algebras and superalgebras (17B05) Local Lie groups (22E05)

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Some open problems in matrix theory arising in linear systems and control

Cites Work

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• The formal power series for \(\log\,e^x e^y\)
• Espaces symétriques et méthode de Kashiwara-Vergne
• Numerical values of Goldberg’s coefficients in the series for 𝑙𝑜𝑔(𝑒^{𝑥}𝑒^{𝑦})
• Cyclic Relations and the Goldberg Coefficients in the Campbell-Baker- Hausdorff Formula