Representations and Characters of Groups / by G. James and M. Liebeck. [Electronic Resource]
Material type: Computer filePublication details: Cambridge : Cambridge University Press, 2001Edition: 2nd EdDescription: viii, 458pISBN:- 9780511814532
- 512.2Â J233R
Item type | Home library | Collection | Call number | Status | Notes | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|---|---|
e-Book | S. R. Ranganathan Learning Hub Online | Textbook | 512.2 J233R (Browse shelf(Opens below)) | Available (e-Book For Access) | Platform : Cambridge Core | EB0410 |
Browsing S. R. Ranganathan Learning Hub shelves, Shelving location: Online, Collection: Textbook Close shelf browser (Hides shelf browser)
511.6 L911A Applied Combinatorics on Words | 512 C661B Basic Algebra : Groups, Rings and Fields | 512.02 B469B Basic Abstract Algebra | 512.2 J233R Representations and Characters of Groups | 512.2 P886R Representation Theory : A Combinatorial Viewpoint | 512.4 M429C Commutative Ring Theory | 512.5 B629B Basic Linear Algebra |
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.
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