Structure and Representations of Jordan Algebras

Structure and Representations of Jordan Algebras

by Nathan Jacobson
     
 

ISBN-10: 082184640X

ISBN-13: 9780821846407

Pub. Date: 12/31/1968

Publisher: American Mathematical Society

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

Overview

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.

Product Details

ISBN-13:
9780821846407
Publisher:
American Mathematical Society
Publication date:
12/31/1968
Series:
Colloquium Publications Series, #39
Pages:
453

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