Volume 2034 2012

Topics in Noncommutative Algebra

The Theorem of Campbell, Baker, Hausdorff and Dynkin

Authors:

ISBN: 978-3-642-22596-3 (Print) 978-3-642-22597-0 (Online)

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xxii

  2. No Access

    Book Chapter

    Pages 1-45

    Historical Overview

  3. Algebraic Proofs of the CBHD Theorem

    1. Front Matter

      Pages 47-47

    2. No Access

      Book Chapter

      Pages 49-114

      Background Algebra

    3. No Access

      Book Chapter

      Pages 115-172

      The Main Proof of the CBHD Theorem

    4. No Access

      Book Chapter

      Pages 173-264

      Some “Short” Proofs of the CBHD Theorem

    5. No Access

      Book Chapter

      Pages 265-369

      Convergence of the CBHD Series and Associativity of the CBHD Operation

    6. No Access

      Book Chapter

      Pages 371-389

      Relationship Between the CBHD Theorem, the PBW Theorem and the Free Lie Algebras

  4. Proofs of the Algebraic Prerequisites

    1. Front Matter

      Pages 391-391

    2. No Access

      Book Chapter

      Pages 393-457

      Proofs of the Algebraic Prerequisites

    3. No Access

      Book Chapter

      Pages 459-477

      Construction of Free Lie Algebras

    4. No Access

      Book Chapter

      Pages 479-499

      Formal Power Series in One Indeterminate

    5. No Access

      Book Chapter

      Pages 501-521

      Symmetric Algebra

  5. Back Matter

    Pages 523-539