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

• Main Authors: Bonfiglioli, Andrea (Author), Fulci, Roberta (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.
• Series: Lecture Notes in Mathematics, 2034
• Subjects: Mathematics.; Nonassociative rings.; Rings (Algebra).; Topological groups.; Lie groups.; Differential geometry.; History.; Topological Groups, Lie Groups.; History of Mathematical Sciences.; Non-associative Rings and Algebras.; Differential Geometry.

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...

Table of Contents:

• 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.