The Structure of Complex Lie Groups

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The book offers a comprehensive exploration of complex Lie groups, emphasizing their structural aspects and unique concepts not found in other texts. It begins with foundational ideas before delving into the theory of representative functions and the extension problem of representations. Additionally, it discusses complex analytic groups and their relationship with affine algebraic groups. The author applies these insights to analyze the observability of subgroups within complex Lie groups, providing a systematic and in-depth treatment of the subject.