Structure and Representations of Jordan Algebras (American Mathematical Society Colloquium Publications XXXIX)

Jacobson, N.

ISBN 10: 0821810391 / ISBN 13: 9780821810392

Published by Amer Mathematical Society, 1968

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Bibliographic Details

Title: Structure and Representations of Jordan ...

Publisher: Amer Mathematical Society

Publication Date: 1968

Binding: Hardcover

Condition: Very Good

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Synopsis:

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.