The structure of complex Lie groups Dong Hoon Lee. Research notes in mathematics series 429.

Lee, Dong Hoon Hoon

ISBN 10: 1584882611 / ISBN 13: 9781584882619

Published by Boca Raton, Chapman & Hall/CRC, 2002

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 22 LEE 9781584882619 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2499298

Bibliographic Details

• Title: The structure of complex Lie groups Dong Hoon Lee. Research notes in mathematics series 429.
• Publisher: Boca Raton, Chapman & Hall/CRC
• Publication Date: 2002
• Language: English
• ISBN 10: 1584882611
• ISBN 13: 9781584882619
• Binding: Softcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

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