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Through the 1990s, a circle of ideas emerged relating three very different kinds of objects associated to a complex semisimple Lie algebra: nilpotent orbits, representations of a Weyl group, and primitive ideals in an enveloping algebra. The principal aim of this book is to collect together the important results concerning the classification and properties of nilpotent orbits, beginning from the common ground of basic structure theory. The techniques used are elementary and in the toolkit of any graduate student interested in the harmonic analysis of representation theory of Lie groups. The book develops the Dynkin-Konstant and Bala-Carter classifications of complex nilpotent orbits, derives the Lusztig-Spaltenstein theory of induction of nilpotent orbits, discusses basic topological questions, and classifies real nilpotent orbits. The classical algebras are emphasized throughout; here the theory can be simplified by using the combinatorics of partitions and tableaux. The authors conclude with a survey of advanced topics related to the above circle of ideas. This book is the product of a two-quarter course taught at the University of Washington.
"This book is an abridged and slightly revised version of McGovern & Kurtz, Wills, trusts and estates including taxation and future interests (3d edition 2004)."--Page iii.
Former senator George McGovern and William R. Polk, a leading authority on the Middle East, offer a detailed plan for a speedy troop withdrawal from Iraq. During the phased withdrawal, to begin on December 31, 2006, and to be completed by June 30, 2007, they recommend that the Iraq government engage the temporary services of an international stabilization force to police the country. Other elements in the withdrawal plan include an independent accounting of American expenditures of Iraqi funds, reparations to Iraqi civilians for lives lost and property destroyed, immediate release of all prisoners of war, the closing of American detention centers, and offering to void all contracts for petroleum exploration, development, and marketing made during the American occupation.
Provides an overview of federal gift, estate, and generation-skipping transfer tax laws for the law student or practitioner. Grantor trust rules affecting the wealth disposition process is also addressed. Other subjects include intestacy, succession, power of disposition limits, transfer requirements, revocation, extrinsic evidence, incapacity, and undue influence. Examines trusts and their alternatives, changes in will execution, and problems of construction in future interests. Overviews the Federal Transfer Tax laws relating to estates and trusts, deductions in computing taxable estates, asset valuation, and credits. Generally, emphasis is placed on the Uniform Probate Code throughout the text.
This is the second volume of the new subseries "Invariant Theory and Algebraic Transformation Groups". The aim of the survey by A. Bialynicki-Birula is to present the main trends and achievements of research in the theory of quotients by actions of algebraic groups. This theory contains geometric invariant theory with various applications to problems of moduli theory. The contribution by J. Carrell treats the subject of torus actions on algebraic varieties, giving a detailed exposition of many of the cohomological results one obtains from having a torus action with fixed points. Many examples, such as toric varieties and flag varieties, are discussed in detail. W.M. McGovern studies the actions of a semisimple Lie or algebraic group on its Lie algebra via the adjoint action and on itself via conjugation. His contribution focuses primarily on nilpotent orbits that have found the widest application to representation theory in the last thirty-five years.
Realizing that a knowledge of the Scythians and the Huns is necessary for an adequate understanding of the countries of eastern Europe and the Near East, McGovern has written a comprehensive survey of all that is known--racial, social, and cultural as well as political--regarding the inhabitants of central Asia, from the earliest times (c. 3000 B.C.) down to the sixth century A.D. Originally published in 1939. A UNC Press Enduring Edition -- UNC Press Enduring Editions use the latest in digital technology to make available again books from our distinguished backlist that were previously out of print. These editions are published unaltered from the original, and are presented in affordable paperback formats, bringing readers both historical and cultural value.