Structure and Representations of Jordan Algebras

Structure and Representations of Jordan Algebras
Author: Nathan Jacobson
Publisher: American Mathematical Soc.
Total Pages: 464
Release: 1968-12-31
Genre: Mathematics
ISBN: 082184640X

The theory of Jordan algebras has played important roles behind the scenes of several areas of mathematics. Jacobson's book has long been the definitive treatment of the subject. It covers foundational material, structure theory, and representation theory for Jordan algebras. Of course, there are immediate connections with Lie algebras, which Jacobson details in Chapter 8. Of particular continuing interest is the discussion of exceptional Jordan algebras, which serve to explain the exceptional Lie algebras and Lie groups. Jordan algebras originally arose in the attempts by Jordan, von Neumann, and Wigner to formulate the foundations of quantum mechanics. They are still useful and important in modern mathematical physics, as well as in Lie theory, geometry, and certain areas of analysis.

A Taste of Jordan Algebras

A Taste of Jordan Algebras
Author: Kevin McCrimmon
Publisher: Springer Science & Business Media
Total Pages: 584
Release: 2006-05-29
Genre: Mathematics
ISBN: 0387217967

This book describes the history of Jordan algebras and describes in full mathematical detail the recent structure theory for Jordan algebras of arbitrary dimension due to Efim Zel'manov. Jordan algebras crop up in many surprising settings, and find application to a variety of mathematical areas. No knowledge is required beyond standard first-year graduate algebra courses.

Octonions, Jordan Algebras and Exceptional Groups

Octonions, Jordan Algebras and Exceptional Groups
Author: Tonny A. Springer
Publisher: Springer
Total Pages: 212
Release: 2013-12-21
Genre: Mathematics
ISBN: 3662126222

The 1963 Göttingen notes of T. A. Springer are well known in the field but have been unavailable for some time. This book is a translation of those notes, completely updated and revised. The part of the book dealing with the algebraic structures is on a fairly elementary level, presupposing basic results from algebra.

Nathan Jacobson Collected Mathematical Papers

Nathan Jacobson Collected Mathematical Papers
Author: N. Jacobson
Publisher: Springer Science & Business Media
Total Pages: 557
Release: 2013-06-29
Genre: Science
ISBN: 1461236940

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.

Jordan Algebras and Algebraic Groups

Jordan Algebras and Algebraic Groups
Author: Tonny A. Springer
Publisher: Springer Science & Business Media
Total Pages: 202
Release: 1997-12-11
Genre: Mathematics
ISBN: 9783540636328

From the reviews: "This book presents an important and novel approach to Jordan algebras. [...] Springer's work will be of service to research workers familiar with linear algebraic groups who find they need to know something about Jordan algebras and will provide Jordan algebraists with new techniques and a new approach to finite-dimensional algebras over fields." American Scientist

AFOSR.

AFOSR.
Author: United States. Air Force. Office of Scientific Research
Publisher:
Total Pages: 1190
Release: 1950
Genre: Research
ISBN:

Jordan Algebras and Algebraic Groups

Jordan Algebras and Algebraic Groups
Author: Tonny A. Springer
Publisher: Springer Science & Business Media
Total Pages: 181
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642619703

From the reviews: "This book presents an important and novel approach to Jordan algebras. [...] Springer's work will be of service to research workers familiar with linear algebraic groups who find they need to know something about Jordan algebras and will provide Jordan algebraists with new techniques and a new approach to finite-dimensional algebras over fields." American Scientist

Handbook of Linear Algebra

Handbook of Linear Algebra
Author: Leslie Hogben
Publisher: CRC Press
Total Pages: 1402
Release: 2006-11-02
Genre: Mathematics
ISBN: 1420010573

The Handbook of Linear Algebra provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use handbook format. The esteemed international contributors guide you from the very elementary aspects of the subject to the frontiers of current research. The book features an accessibl