Topics in Noncommutative Algebra The Theorem of Campbell, Baker, Hausdorff and Dynkin /

Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs, Quantum and Statistical Mechanics, Numerical Analysis, Theoretical Physics, Control Theory, sub-Riemannian Geometry), this m...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bonfiglioli, Andrea (Autor), Fulci, Roberta (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:Lecture Notes in Mathematics, 2034
Temas:
Topological groups.
Lie groups.
Mathematics.
History.
Nonassociative rings.
Geometry, Differential.
Topological Groups and Lie Groups.
History of Mathematical Sciences.
Non-associative Rings and Algebras.
Differential Geometry.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1 Historical Overview
  • Part I Algebraic Proofs of the CBHD Theorem
  • 2 Background Algebra
  • 3 The Main Proof of the CBHD Theorem
  • 4 Some 'Short' Proofs of the CBHD Theorem
  • 5 Convergence and Associativity for the CBHD Theorem
  • 6 CBHD, PBW and the Free Lie Algebras
  • Part II Proofs of the Algebraic Prerequisites
  • 7 Proofs of the Algebraic Prerequisites
  • 8 Construction of Free Lie Algebras
  • 9 Formal Power Series in One Indeterminate
  • 10 Symmetric Algebra.

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