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Titlebook: Lie Group Actions in Complex Analysis; Dmitri N. Akhiezer Book 1995 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden

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Lie Theory,is real analytic. Such an action gives rise to the Lie homomorphism, which is a map from the Lie algebra of . into the Lie algebra of vector fields on .. The second fundamental theorem of S.Lie states that the local action can be recovered from this homomorphism. We prove this theorem and give some
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Compact Homogeneous Manifolds,as the coset spaces ./., where . is a connected complex semisimple Lie group, . ⊂ . a parabolic subgroup. Their description requires some work with roots systems, after which we prove that a flag manifold admits an equivariant projective embedding. Furthermore, flag manifolds can be characterized as
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Homogeneous Vector Bundles,germs of local holomorphic sections of v. If . is compact then .(., O.) are finite-dimensional vector spaces. We show that the induced representations of . on these spaces are holomorphic. If . is homogeneous, ., then v is given by a holomorphic representation .: . → GL(.) and the induced representa
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Function Theory on Homogeneous Manifolds,In this chapter we study holomorphic functions in .-invariant domains Ω ⊂ .. For any such domain there is a representation of . on the Fréchet vector space O(Ω). Therefore our starting point is a theorem of Harish-Chandra, which extends the classical Fourier expansion to the representation theory of
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Dmitri N. Akhiezerom agriculture to industry, was it not possible to reverse the trend by accelerating the growth rates of agricultural productivity through structural adjustments? In fact, ever since the 1961 Agricultural Basic Law was enacted with the goal of making agricultural income levels equal to those in othe
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Dmitri N. Akhiezerom agriculture to industry, was it not possible to reverse the trend by accelerating the growth rates of agricultural productivity through structural adjustments? In fact, ever since the 1961 Agricultural Basic Law was enacted with the goal of making agricultural income levels equal to those in othe
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Dmitri N. Akhiezerand industrial powers, but also one that is in the process of a major restructuring of its industrial base. More than in most countries, the development of biotechnology in Japan is based on the triad of government, academia, and industry. Of these three sectors, industry is the most powerful with s
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Dmitri N. Akhiezerand industrial powers, but also one that is in the process of a major restructuring of its industrial base. More than in most countries, the development of biotechnology in Japan is based on the triad of government, academia, and industry. Of these three sectors, industry is the most powerful with s
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e.Emphasizes the importance of global film culture to the co.This book explores the rich complexity of Japan’s film history by tracing how cinema has been continually reshaped through its dynamic engagement within a shifting media ecology. Focusing on techniques that draw attention to the interval b
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