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Nathan Jacobson Collected Mathematical Papers: Volume 2 (1947-1965)

Paperback (Softcover reprint of the original 1st ed. 1989)
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More About This Book

Product Details

  • ISBN-13: 9781461282150
  • Publisher: Birkh?user Boston
  • Publication date: 11/19/2011
  • Series: Contemporary Mathematicians Series
  • Edition description: Softcover reprint of the original 1st ed. 1989
  • Pages: 556
  • Product dimensions: 7.00 (w) x 10.00 (h) x 1.17 (d)

Table of Contents

Personal History and Commentary (1947–1955).- Research Papers, 1947–1955.- [39] Lie and Jordan triple systems.- [40] Classification and representation of semi-simple Jordan algebras (with F. D. Jacobson).- [41] Derivation algebras and multiplication algebras of semi-simple Jordan algebras.- [42] Enveloping algebras of semi-simple Lie algebras.- [43] Some remarks on one-sided inverses.- [44] Jordan homomorphisms of rings (with C. E. Rickart).- [45] Completely reducible Lie algebras of linear transformations.- [46] General representation theory of Jordan algebras.- [47] Une généralisation du théorème d’Engel.- [48] Homomorphisms of Jordan rings of self-adjoint elements (with C. E. Rickart).- [49] A note on Lie algebras of characteristic p.- [50] Operator commutativity in Jordan algebras.- [51] A Kronecker factorization theorem for Cayley algebras and the exceptional simple Jordan algebra.- [52] Structure of alternative and Jordan bimodules.- [53] A note on automorphisms and derivations of Lie algebras.- [54] Commutative restricted Lie algebras.- [55] A note on two dimensional division ring extensions.- Personal History and Commentary (1956–1965).- Research Papers, 1956–1965.- [56] A theorem on the structure of Jordan algebras.- [57] Generation of separable and central simple algebras.- [58] On reduced exceptional simple Jordan algebras (with A. A. Albert).- [59] On Jordan algebras with two generators (with L. J. Paige).- [60] Composition algebras and their automorphisms.- [61] Nilpotent elements in semi-simple Jordan algebras.- [62] A note on three dimensional simple Lie algebras.- [63] Some groups of transformations defined by Jordan algebras I.- [64] Some groups of transformations defined by Jordan algebras II.- [65] Some groups of transformations defined by Jordan algebras III.- [66] MacDonald’s theorem on Jordan algebras.- [67] A coordinatization theorem for Jordan algebras.- [68] A note on automorphisms of Lie algebras.- [69] Generic norm of an algebra.- [70] Clifford algebras for algebras with involution of type D.- [71] Triality and Lie algebras of type D4.- Permissions.

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