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Nathan Jacobson Collected Mathematical Papers

Volume 2 (1947–1965)

  • Book
  • © 1989

Overview

Authors:
  1. Nathan Jacobson

    1. Department of Mathematics, Yale University, New Haven, USA

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Part of the book series: Contemporary Mathematicians (CM)

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Table of contents (36 chapters)

  1. Front Matter

    Pages i-xviii
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  2. A Personal History and Commentary

    1. A Personal History and Commentary

      • Nathan Jacobson
      Pages 1-16

  3. Research Papers, 1947–1955

    1. Lie and Jordan Triple Systems

      • Nathan Jacobson
      Pages 17-38

    2. Classification and Representation of Semi-Simple Jordan Algebras

      • F. D. Jacobson, N. Jacobson
      Pages 39-67

    3. Derivation Algebras and Multiplication Algebras of Semi-Simple Jordan Algebras

      • N. Jacobson
      Pages 68-76

    4. Enveloping Algebras of Semi-Simple Lie Algebras

      • N. Jacobson
      Pages 77-86

    5. Some Remarks on One-Sided Inverses

      • N. Jacobson
      Pages 88-91

    6. Jordan Homomorphisms of Rings

      • N. Jacobson, C. E. Rickart
      Pages 93-116

    7. Completely Reducible Lie Algebras of Linear Transformations

      • Nathan Jacobson
      Pages 117-125

    8. General Representation Theory of Jordan Algebras

      • N. Jacobson
      Pages 127-148

    9. algèbre. — Une généralisation du théorème d’Engel.

      • M. Nathan Jacobson, M. Jacques Hadamard
      Pages 149-151

    10. Homomorphisms of Jordan Rings of Self-Adjoint Elements

      • N. Jacobson, C. E. Rickart
      Pages 152-164

    11. A Note on Lie Algebras of Characteristic p

      • N. Jacobson
      Pages 165-167

    12. Operator Commutativity in Jordan algebras

      • N. Jacobson
      Pages 169-172

    13. A Kronecker Factorization Theorem for Cayley Algebras and the Exceptional Simple Jordan Algebra

      • N. Jacobson
      Pages 173-178

    14. Structure of Alternative and Jordan Bimodules

      • N. Jacobson
      Pages 179-249

    15. A Note on Automorphisms and Derivations of Lie Algebras

      • N. Jacobson
      Pages 251-253

    16. Commutative Restricted Lie Algebras

      • N. Jacobson
      Pages 254-259

    17. A Note on Two Dimensional Division Ring Extensions

      • N. Jacobson
      Pages 261-267

    18. A Personal History and Commentary

      • Nathan Jacobson
      Pages 269-288
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Keywords

About this book

This collection contains all my published papers, both research and expository, that were published from 1934 to 1988. The research papers arranged in chronological order appear in Volume I and II and in the first part of Volume III. The expository papers, which are mainly reports presented at conferences, appear in chronological order in the last part of Volume III. Volume I covers the period 1910 to 1947, the year I moved to Yale, Volume II covers the period 1947 to 1965 when I became Chairman of the Department at Yale and Volume III covers the period from 1965 to 1989, which goes beyond my assumption of an emeritus status in 1981. I have divided the time interval covered in each volume into subintervals preceded by an account of my personal history during this period, and a commentary on the research papers published in the period. I have omitted commentaries on the expository papers and have sorted out the commentaries on the research papers according to the principal fields of my research. The personal history has been based on my recollections, checked against written documentation in my file of letters as well as diaries. One of these was a diary I kept of my trip to the USSR in 1961; the others were diaries Florie (Florence) kept during other major visits abroad. I have also consulted Professor A. W. Tucker on historical details on Princeton during the 1930's.

Authors and Affiliations

  • Department of Mathematics, Yale University, New Haven, USA

    Nathan Jacobson

Bibliographic Information

  • Book Title: Nathan Jacobson Collected Mathematical Papers

  • Book Subtitle: Volume 2 (1947–1965)

  • Authors: Nathan Jacobson

  • Series Title: Contemporary Mathematicians

  • DOI: https://doi.org/10.1007/978-1-4612-3694-8

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston 1989

  • Softcover ISBN: 978-1-4612-8215-0Published: 19 November 2011

  • eBook ISBN: 978-1-4612-3694-8Published: 29 June 2013

  • Series ISSN: 0884-7037

  • Edition Number: 1

  • Number of Pages: XVIII, 556

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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