structure and representations of jordan algebras, nathan [pdf]

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structure and representations of jordan algebras, nathan [pdf]

Structure and Representations of Jordan Algebras by Nathan Jacobson

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About this book :-
Structure and Representations of Jordan Algebras written by Nathan Jacobson
The purpose of this book is to give a comprehensive account of the structure and representation theory of Jordan algebras over a field of charatcteristic not two. It may be appropriate at this point to indicate the limits we have set ourselves and what lies immediatly beyond these limits.
(Nathan Jacobson)

Book Detail :-
Title: Structure and Representations of Jordan Algebras
Edition:
Author(s): Nathan Jacobson
Publisher: American Mathematical Society
Series: Colloquium Publications
Year: 2008
Pages: 461
Type: PDF
Language: English
ISBN: 9780821846407,082184640X
Country: US
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About Author :-
Author Nathan Jacobson (1910–1999) was an American mathematician. Nachman Arbiser in Warsaw, Jacobson emigrated to America with his family in 1918. Recognized as one of the leading algebraists of his generation, he wrote more than a dozen standard textbooks. He graduated from the University of Alabama in 1930 and was awarded a doctorate in mathematics from Princeton University in 1934. While working on his thesis, Non-commutative polynomials and cyclic algebras, he was advised by Joseph Wedderburn. Jacobson taught and researched at Bryn Mawr College (1935–1936), the University of Chicago (1936–1937), the University of North Carolina at Chapel Hill (1937–1943), and Johns Hopkins University (1943–1947) before joining Yale University in 1947. He remained at Yale until his retirement.
Nathan Jacobson is from Yale University, Department of Mathematics, New Haven Connecticut.

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Book Contents :-
Structure and Representations of Jordan Algebras written by Nathan Jacobson cover the following topics.
1. Foundation
2. Elements of Representation Theory
3. Peirce Decompositions and Jordan Matrix Algebra
4. Jordan Algebra with Minimum conditions on Quadratic Ideals
5. Structure Theory for Finite Dimentional Jordan Algebras
6. Generic Minimum Polynomials, Traces and Norms
7. Representation Theory for Separable Jordan Algebras
8. Connections with Lie Algebras
9. Exceptional Jordan Algebras
Further Results and Open Questions
Bibliography
Subject Index

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