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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 ).
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.
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