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Tuesday 24 May 2011

Structure and Representations of Jordan Algebras

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Contents:

1. Foundations
2. Elements of Representation Theory
3. Peirce Decompositions and Jordan Matrix Algebras
4. Jordan Algebras with Minimum Conditions on Quadratic Ideals
5. Structure Theory for Finite-Dimensional 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