A01=Dong Hoon Lee
advanced complex Lie group theory
affine algebraic groups
algebra
algebraic
Algebraic Group
Algebraic Subgroup
analytic group structure
Author_Dong Hoon Lee
canonical
Canonical Morphism
Category=PBH
Closed Subgroup
closure
Commutator Subgroup
Compact Real Form
Compact Subgroup
Complex Analytic Function
Complex Analytic Representation
Complex Lie
Complex Lie Algebra
Complex Lie Groups
differential geometry
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Faithfully Representable
Hopf Algebra
Left Coset Representatives
Left Translations
Lie Algebra
Lie algebra fundamentals
Lie Groups
lie-*
map
Maximal Compact Subgroup
polynomial
Polynomial Algebra
Real Lie Algebra
representation theory
restriction
Semidirect Product
Semisimple Lie Algebra
subgroup
subgroup observability
Vector Group
zariski
Zariski Closure
Product details
- ISBN 9781138454279
- Weight: 453g
- Dimensions: 156 x 234mm
- Publication Date: 27 Jul 2017
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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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.
