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This book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students. This is achieved by mainly keeping the required background to the level of undergraduate linear algebra, group theory and very basic ring theory. Module theory and Wedderburn theory, as well as tensor products, are deliberately avoided. Instead, we take an approach based on discrete Fourier Analysis. Applications to the spectral theory of graphs are given to help the student appreciate the usefulness of the subject. A number of exercises are included. This book is intended for a 3rd/4th undergraduate course or an introductory graduate course on group representation theory. However, it can also be used as a reference for workers in all areas of mathematics and statistics.
EBONY is the flagship magazine of Johnson Publishing. Founded in 1945 by John H. Johnson, it still maintains the highest global circulation of any African American-focused magazine.
This first text on the subject provides a comprehensive introduction to the representation theory of finite monoids. Carefully worked examples and exercises provide the bells and whistles for graduate accessibility, bringing a broad range of advanced readers to the forefront of research in the area. Highlights of the text include applications to probability theory, symbolic dynamics, and automata theory. Comfort with module theory, a familiarity with ordinary group representation theory, and the basics of Wedderburn theory, are prerequisites for advanced graduate level study. Researchers in algebra, algebraic combinatorics, automata theory, and probability theory, will find this text enrichi...
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New York magazine was born in 1968 after a run as an insert of the New York Herald Tribune and quickly made a place for itself as the trusted resource for readers across the country. With award-winning writing and photography covering everything from politics and food to theater and fashion, the magazine's consistent mission has been to reflect back to its audience the energy and excitement of the city itself, while celebrating New York as both a place and an idea.
This book is the first to consider the presence of history and the question of historical practice in Walter Benjamin's work. Benjamin, the critic and philosopher of history, was also the practitioner, the authors contend, and it is in the practice of historical writing that the materialist aspect of his thought is most evident. Some of the essays analyze Benjamin's writings in cultural history and the philosophy of history. Others connect his historical and theoretical practices to issues in contemporary feminism and post-colonial studies, and to cultural contexts including the United States, Japan, and Hong Kong. In different ways, the authors all find in Benjamin's specific notion of historical materialism a dialectic between textual and cultural analysis which can reinvigorate the relation between literary and historical studies.
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