Nathan Jacobson Collected Mathematical Papers

1. Front Matter

   Pages i-xviii

   PDF

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

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.

• algebra
• automorphism
• classification
• clifford algebra
• document
• homomorphism
• lie algebra
• representation theory
• research
• ring
• time
• transformation

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

  Nathan Jacobson

Policies and ethics