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Série de Hausdorff d'une algèbre de Lie et projections canoniques dans l'algèbre enveloppante. (Hausdorff series of a Lie algebra and canonical projections in the enveloping algebra)

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Publication:1825942
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DOI10.1016/0021-8693(89)90194-4zbMath0685.17007OpenAlexW1976033809WikidataQ115366104 ScholiaQ115366104MaRDI QIDQ1825942

Jacques Helmstetter

Publication date: 1989

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90194-4

zbMATH Keywords

free Lie algebragenerating functionuniversal enveloping algebraHausdorff seriescanonical projections\({\mathbb{Z}}_ 2\)-graded Lie algebras


Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Structure theory for Lie algebras and superalgebras (17B05) Graded Lie (super)algebras (17B70)


Related Items

Unnamed Item ⋮ A note on the Baker-Campbell-Hausdorff series in terms of right-nested commutators ⋮ Universal representations of Lie algebras by coderivations. ⋮ \(L_{\infty}\)-formality check for the Hochschild complex of certain universal enveloping algebras ⋮ On the string Lie algebra



Cites Work

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  • On the structure of Hopf algebras
  • Théorie géométrique des polynômes eulériens
  • On the Poincaré-Birkhoff-Witt theorem
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