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This two-part survey provides a short review of the classical part of representation theory, carefully exposing the structure of the theory without overwhelming readers with details, and deals with representations of Virasoro and Kac-Moody algebra. It presents a wealth of recent results on representations of infinite-dimensional groups.
Classical harmonic analysis is an important part of modern physics and mathematics, comparable in its significance with calculus. Created in the 18th and 19th centuries as a distinct mathematical discipline it continued to develop, conquering new unexpected areas and producing impressive applications to a multitude of problems. It is widely understood that the explanation of this miraculous power stems from group theoretic ideas underlying practically everything in harmonic analysis. This book is an unusual combination of the general and abstract group theoretic approach with a wealth of very concrete topics attractive to everybody interested in mathematics. Mathematical literature on harmonic analysis abounds in books of more or less abstract or concrete kind, but the lucky combination as in this volume can hardly be found.
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This unique volume, nearly 2000 pages in length and handsomely printed on Bible paper, is perhaps the most comprehensive scholarly work of our time on the translation and interpretation of the Bible. At its core are papers presented to an international symposium in Ljubljana in September 1996 to mark the publication of the new Slovenian version of the Bible, a landmark in Slovene identity and cultural life. In addition, its distinguished editor, Joze Krasovec, has commissioned a wide range of contributions devoted to translations of the Bible in many languages, including the Slavonic languages, Croatian, Czech, Hungarian, Polish and the Scandinavian languages. The 82 chapters in this work, m...