Description: Summary of Constructions Foreword Acknowledgments Introduction Ch. 1: Definitions, examples and matrix groups Ch. 2: Clifford algebras Ch. 3: The Spin groups Ch. 4: Clifford modules and representations Ch. 5: Applications of Spin representations Ch. 6: The exceptional groups: construction of E[subscript 8] Ch. 7: Construction of a Lie group of type E[subscript 8] Ch. 8: The construction of Lie groups of type F[subscript 4], E[subscript 6], E[subscript 7] Ch. 9: The Dynkin diagrams of F[subscript 4], E[subscript 6], E[subscript 7], E[subscript 8] Ch. 10: The Weyl group of E[subscript 8] Ch. 11: Representations of E[subscript 6], E[subscript 7] Ch. 12: Direct construction of E[subscript 7] Ch. 13: Direct treatment of E[subscript 6] Ch. 14: Direct treatment of F[subscript 4], I Ch. 15: The Cayley numbers Ch. 16: Direct treatment of F[subscript 4], II: Jordan algebras Appendix: Jordan algebras References

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