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The representation theory of reductive algebraic groups and related finite reductive groups is a subject of great topical interest and has many applications. The articles in this volume provide introductions to various aspects of the subject, including algebraic groups and Lie algebras, reflection groups, abelian and derived categories, the Deligne-Lusztig representation theory of finite reductive groups, Harish-Chandra theory and its generalisations, quantum groups, subgroup structure of algebraic groups, intersection cohomology, and Lusztig's conjectured character formula for irreducible representations in prime characteristic. The articles are carefully designed to reinforce one another, and are written by a team of distinguished authors: M. Broue, R. W. Carter, S. Donkin, M. Geck, J. C. Jantzen, B. Keller, M. W. Liebeck, G. Malle, J. C. Rickard and R. Rouquier. This volume as a whole should provide a very accessible introduction to an important, though technical, subject.
Three of the leading figures in the field have composed this excellent introduction to the theory of Lie groups and Lie algebras. Together these lectures provide an elementary account of the theory that is unsurpassed. In the first part, Roger Carter concentrates on Lie algebras and root systems. In the second Graeme Segal discusses Lie groups. And in the final part, Ian Macdonald gives an introduction to special linear groups. Graduate students requiring an introduction to the theory of Lie groups and their applications should look no further than this book.
Carl Sagan, a prominent American astrophysicist and philosopher said, "Extraordinary claims require extraordinary proof." The Bible does just that The Scriptures are self revealing, self interpreting and self dramatic. Questions about the origin and foundation of the universe and the earth continue to confound the paleontologist, the astrophysicist, and even the theologian. While many mysteries of the universe are being progressively unlocked in our age of technological advances and discoveries, questions begging definitive resolutions still remain unanswered. Such questions posed are: Why and how did the dinosaur become extinct? What became of Eden, the garden of God? Did Atlantis really exist and how was it destroyed? What is the newest planet in our solar system and where did it come from? Surprisingly, definitive resolutions to these questions and more are contained within the pages of the Bible in ofttimes dramatic detail, translated into all languages. Only through divine inspiration can the extraordinary information penned by the prophets of old confirm the many wonders of the universe and the world that have come to light in our modern age of scientific exploration and discovery. "God frustrates the tokens of the liars, and makes diviners mad; that turns wise men backward and makes their knowledge foolish" ( Isaiah 44:25 ).
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