ABSTRACT

Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential geometry and representation theory. To date, however, no book has fully explored and developed their structural aspects.

The Structure of Complex Lie Groups addresses this need. Self-contained, it begins with general concepts

chapter 1|48 pages

Complex Lie Groups

chapter 2|32 pages

Representative Functions of Lie Groups

chapter 3|18 pages

Extensions of Representations

chapter 4|38 pages

The Structure of Complex Lie Groups

chapter 5|20 pages

Algebraic Subgroups in Lie Groups

chapter 6|26 pages

Observability in Complex Lie Groups