The Structure of Complex Lie Groups (Chapman & Hall/CRC Research Notes in Mathematics Series)

Lee, Dong Hoon Hoon

ISBN 10: 1584882611 / ISBN 13: 9781584882619

Published by Chapman and Hall/CRC, 2001

About this Item

Seller Inventory # I-9781584882619

Bibliographic Details

• Title: The Structure of Complex Lie Groups (Chapman & Hall/CRC Research Notes in Mathematics Series)
• Publisher: Chapman and Hall/CRC
• Publication Date: 2001
• Language: English
• ISBN 10: 1584882611
• ISBN 13: 9781584882619
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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 introduced via an almost complex structure on a real Lie group. It then moves to the theory of representative functions of Lie groups- used as a primary tool in subsequent chapters-and discusses the extension problem of representations that is essential for studying the structure of complex Lie groups. This is followed by a discourse on complex analytic groups that carry the structure of affine algebraic groups compatible with their analytic group structure. The author then uses the results of his earlier discussions to determine the observability of subgroups of complex Lie groups. The differences between complex algebraic groups and complex Lie groups are sometimes subtle and it can be difficult to know which aspects of algebraic group theory apply and which must be modified. The Structure of Complex Lie Groups helps clarify those distinctions. Clearly written and well organized, this unique work presents material not found in other books on Lie groups and serves as an outstanding complement to them.

About the Author

Dong Hoon Lee