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Exceptional Lie algebras and the structure of Hermitian symmetric spaces

About this Title

Daniel Drucker

Publication: Memoirs of the American Mathematical Society
Publication Year: 1978; Volume 16, Number 208
ISBNs: 978-0-8218-2208-1 (print); 978-1-4704-0355-3 (online)
DOI: https://doi.org/10.1090/memo/0208
MathSciNet review: 0499340

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Table of Contents

Chapters

  • Introduction
  • Some notational conventions
  • I. Algebraic preliminaries
  • II. $e_6$ and $e_7$
  • III. Geometric preliminaries
  • IV. The classical domains
  • V. The 27-dimensional exceptional domain
  • VI. The 16-dimensional exceptional domain
  • VII. Orbits
  • VIII. Holomorphic arc components
  • Appendix A. Cayley algebras
  • Appendix B. Derivations of $\mathcal {J}^{\mathbb {C}}$
  • Appendix C. Derivation algebras in Tit’s construction