Growth of Algebras and Gelfand-Kirillov Dimension (Graduate Studies in Mathematics) by Gunter R. Krause and Thomas H. Lenagan (PDF)

Description

During the two decades that preceded the publication of the first edition of this book, the Gelfand-Kirillov dimension had emerged as a very useful and powerful tool for investigating non-commutative algebras. At that time, the basic ideas and results were scattered throughout various journal articles. The first edition of this book provided a much-needed reliable and coherent single source of information. Since that time, the book has become the standard reference source for researchers. For this edition, the authors incorporated the original text with only minor modifications. Errors have been corrected, items have been rephrased, and more mathematical expressions have been displayed for the purpose of clarity. The newly added Chapter 12 provides broad overviews of the new developments that have surfaced in the last few years, with references to the literature for details. The bibliography has been updated and accordingly, almost double the size of the original one. The faithful revision and contemporary design of this work offers time-honored expertise with modern functionality: A keenly appealing combination. So, whether for the classroom, the well-tended mathematical books collection, or the research desk, this book holds unprecedented relevance.

User’s Reviews

Editorial Reviews: From the Publisher A concise introduction to the quantum field theory and perturbative string theory, with as much emphasis on a mathematically satisfying exposition and clarity as possible … will be helpful to all mathematicians and mathematical physicists who wish to learn about the beautiful subject of quantum field theory. — European Mathematical Society Newsletter From the Inside Flap The authors clearly had user-friendliness in mind in preparing this edition. Revisions have focused on clarification of presentation, the numbering of results from the original edition has been retained, and the new final chapter is organized so that Section 12.k gives updates relevant to Chapter k. The original bibliography has been expanded to about double its original length. This new edition will serve to continue to make this book a useful introduction to and reference in its field. Mathematical Reviews

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