The Campbell-Hausdorff group and a polar decomposition of graded algebra automorphisms

DOI10.2140/pjm.1988.131.219zbMath0599.17002OpenAlexW1976959832MaRDI QIDQ1080504

Richard C. Churchill, Alberto Baider

Publication date: 1988

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1988.131.219

zbMATH Keywords

filtered algebrasCampbell-Hausdorff groupexact group sequencepolar decomposition of graded algebra automorphisms

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Graded Lie (super)algebras (17B70) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (8)

Normal form of Bogdanov-Takens: styles and a hypernormalization method ⋮ INFINITE ORDER PARAMETRIC NORMAL FORM OF HOPF SINGULARITY ⋮ The Campbell-Hausdorff near-ring over \(\mathbb N\) -- a topological view ⋮ Hypernormal form theory: foundations and algorithms ⋮ Unique normal forms for vector fields and Hamiltonians ⋮ Unipotent normal forms for symplectic maps ⋮ FORMAL DECOMPOSITION METHOD AND PARAMETRIC NORMAL FORMS ⋮ Unique normal forms: The nilpotent Hamiltonian case

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