Representations and Characters of Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representations and Characters of Groups write by Gordon James. This book was released on 2001-10-18. Representations and Characters of Groups available in PDF, EPUB and Kindle. This book provides a modern introduction to the representation theory of finite groups. Now in its second edition, the authors have revised the text and added much new material. The theory is developed in terms of modules, since this is appropriate for more advanced work, but considerable emphasis is placed upon constructing characters. Included here are the character tables of all groups of order less than 32, and all simple groups of order less than 1000. Applications covered include Burnside's paqb theorem, the use of character theory in studying subgroup structure and permutation groups, and how to use representation theory to investigate molecular vibration. Each chapter features a variety of exercises, with full solutions provided at the end of the book. This will be ideal as a course text in representation theory, and in view of the applications, will be of interest to chemists and physicists as well as mathematicians.
Representations and Characters of Finite Groups
Representations and Characters of Finite Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representations and Characters of Finite Groups write by M. J. Collins. This book was released on 1990-03-22. Representations and Characters of Finite Groups available in PDF, EPUB and Kindle. Representation theory and character theory have proved essential in the study of finite simple groups since their early development by Frobenius. The author begins by presenting the foundations of character theory in a style accessible to advanced undergraduates that requires only a basic knowledge of group theory and general algebra. This theme is then expanded in a self-contained account providing an introduction to the application of character theory to the classification of simple groups. The book follows both strands of the theory: the exceptional characteristics of Suzuki and Feit and the block character theory of Brauer and includes refinements of original proofs that have become available as the subject has grown.
Character Theory of Finite Groups
Character Theory of Finite Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Character Theory of Finite Groups write by I. Martin Isaacs. This book was released on 2006-11-21. Character Theory of Finite Groups available in PDF, EPUB and Kindle. Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of finite simple groups. Characters are also of interest in their own right, and their properties are closely related to properties of the structure of the underlying group. The book begins by developing the module theory of complex group algebras. After the module-theoretic foundations are laid in the first chapter, the focus is primarily on characters. This enhances the accessibility of the material for students, which was a major consideration in the writing. Also with students in mind, a large number of problems are included, many of them quite challenging. In addition to the development of the basic theory (using a cleaner notation than previously), a number of more specialized topics are covered with accessible presentations. These include projective representations, the basics of the Schur index, irreducible character degrees and group structure, complex linear groups, exceptional characters, and a fairly extensive introduction to blocks and Brauer characters. This is a corrected reprint of the original 1976 version, later reprinted by Dover. Since 1976 it has become the standard reference for character theory, appearing in the bibliography of almost every research paper in the subject. It is largely self-contained, requiring of the reader only the most basic facts of linear algebra, group theory, Galois theory and ring and module theory.
Representations and Characters of Groups
Representations and Characters of Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representations and Characters of Groups write by Gordon Douglas James. This book was released on 2001-10-18. Representations and Characters of Groups available in PDF, EPUB and Kindle. Introducing the representation theory of finite groups, this second edition has been revised and updated. The theory is developed in terms of modules with considerable emphasis placed upon constructing characters.
The Character Theory of Finite Groups of Lie Type
The Character Theory of Finite Groups of Lie Type - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Character Theory of Finite Groups of Lie Type write by Meinolf Geck. This book was released on 2020-02-27. The Character Theory of Finite Groups of Lie Type available in PDF, EPUB and Kindle. Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics and computer algebra, and has since evolved substantially. With this book, the authors meet the need for a contemporary treatment, complementing in core areas the well-established books of Carter and Digne–Michel. Focusing on applications in finite group theory, the authors gather previously scattered results and allow the reader to get to grips with the large body of literature available on the subject, covering topics such as regular embeddings, the Jordan decomposition of characters, d-Harish–Chandra theory and Lusztig induction for unipotent characters. Requiring only a modest background in algebraic geometry, this useful reference is suitable for beginning graduate students as well as researchers.
