This monograph, divided into four parts, presents a comprehensive treatment and systematic examination of cycle spaces of flag domains. Assuming only a basic familiarity with the concepts of Lie theory and geometry, this work presents a complete structure theory for these cycle spaces, as well as their applications to harmonic analysis and algebraic geometry.
* Accessible to readers from a wide range of fields, with all the necessary background material provided for the nonspecialist
* Many new results presented for the first time
* Driven by numerous examples
* The exposition is presented from the complex geometric viewpoint, but the methods, applications and much of the motivation also come from real and complex algebraic groups and their representations, as well as other areas of geometry
* Comparisons with classical Barlet cycle spaces are given
* Good bibliography and index.
Researchers and graduate students in differential geometry, complex analysis, harmonic analysis, representation theory, transformation groups, algebraic geometry, and areas of global geometric analysis will benefit from this work.
In 1803, the United States purchased 828,000 square miles of land from France at a price of approximately three cents per acre, dramatically altering the young nation's geography and its political future. President Thomas Jefferson had struggled for three years over the purchase, which many believed to be unconstitutional, during which time the land changed hands between the French and the Spanish. In perhaps the nation's most formative development since the Revolutionary War, the deal secured the U.S. territory that would become fifteen new states, sparked intense public argument about the American Frontier, and ensured Jefferson a complicated legacy in American history.
With special attention to the diplomatic and constitutional background of the purchase, The Louisiana Purchase examines the event in the context of the Atlantic world, including the impact of the French Revolution and Napoleonic wars in Europe, colonial revolutions in the Caribbean, and the westward expansion of the U.S. population. In five concise chapters bolstered by primary documents including treaties, letters, and first-hand observations, Robert D. Bush introduces students to the political history of this momentous land acquisition.
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