The Geometry of Jordan and Lie Structures

• Main Author: Bertram, Wolfgang (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
• Edition: 1st ed. 2000.
• Series: Lecture Notes in Mathematics, 1754
• Subjects: Algebra.; Differential geometry.; Topological groups.; Lie groups.; Differential Geometry.; Topological Groups, Lie Groups.

Table of Contents:

• The Jordan-Lie functor
• I: Symmetric spaces and the Lie-functor
• II: Prehomogeneous symmetric spaces and Jordan algebras
• III: The Jordan-Lie functor
• IV: The classical spaces
• V: Non-degenerate spaces
• Conformal group and global theory
• VI: Integration of Jordan structures
• VII: The conformal Lie algebra
• VIII: Conformal group and conformal completion
• IX: Liouville theorem and fundamental theorem
• X: Algebraic structures of symmetric spaces with twist
• XI: Spaces of the first and of the second kind
• XII: Tables
• XIII: Further topics.