The structure of complex Lie groups
Author(s)
Bibliographic Information
The structure of complex Lie groups
（Research notes in mathematics, 429）
Chapman & Hall/CRC, c2002
Available at / 46 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:512.55/L5112070548606
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Note
Bibliography: p. 211-213
Includes index
Description and Table of Contents
Description
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.
Table of Contents
Complex Lie Groups. Representative Functions of Lie Groups. Extensions of Representations. The Structure of Complex Lie Groups. Algebraic Subgroups of Complex Lie Groups. Observability in Complex Analytic Groups. Appendix 1: Elementary Theory of Lie Algebras. Appendix 2: Pro-affine Algebraic Groups.
by "Nielsen BookData"
