Science in the field: Edited by Henrika Kuklick and Robert E. Kohler. Osiris, a research journal, University of Chicago Press, Chicago, IL. (1996). 265 pages. $39.00 (cloth), $25.00 (paper)

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 93 KB
• Volume: 33
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(97)84601-9

✦ Synopsis

Lectures on ExcevtionaI Lie Groups. Edited by Zafer Mahmud and Mamoru Mimura. University of Chicago Press, Chicago. (1996). 122 pages. $45.00, £35.95 (cloth); $19.95, £15.95 (paper). Contents: Summary of constructions. Foreword. Acknowledgments. Introduction. 1. Definitions, examples and matrix groups. 2. Clifford algebras. 3. The Spin groups. 4. Clifford modules and representations. 5. Applications of Spin representations. 6. The exceptional groups: Construction of Es. 7. Construction of a Lie group of type E8. 8. The construction of Lie groups of type F4, E6, E7. 9. The Dynkin diagrams of Fa, E6, E7, Es. 10. The Weyl group of Es. 11. Representations of E6,ET. 12. Direct construction of ET. 13. Direct treatment of E6. 14. Direct treatment of F4, I. 15. The Cayley numbers. 16. Direct treatment of F4, II: Jordan algebras. Appendix. References.