Representations and Invariants of the Classical Groups (Encyclopedia of Mathematics and its Applications)
| Author | : | |
| Rating | : | 4.20 (601 Votes) |
| Asin | : | 0521582733 |
| Format Type | : | paperback |
| Number of Pages | : | 703 Pages |
| Publish Date | : | 2017-11-17 |
| Language | : | English |
DESCRIPTION:
It makes abundant use of examples and exercises to explain concepts such as root systems, Weyl groups and highest weight theory. As a text for beginners, this book provides an introduction to the structure and finite-dimensional representation theory of the complex classical groups that requires only an abstract algebra course as a prerequisite. The more advanced reader will find an introduction to the structure and representations of complex reductive algebraic groups and their compact real forms. This book presents an updated version of this theory together with many of the important recent developments. This book will also serve as a reference for the main results on tensor and polynomial invariants and the finite-dimensional representation theory of the classical groups. It will appeal to researchers in mathematics, statistics, physics and chemistry whose work involves symmetry groups, representation theory, invariant theory and algebraic group theory.. More than half a century has passed since Weyl's "The Classical Groups" gave a unified picture of invariant theory that has retained its importance in mathematics and physics to the presen
"Comprehensive, well organized, very applicable" according to Thomas Kerler. The book may be considered an update of Weyl's classic from 19Comprehensive, well organized, very applicable Thomas Kerler The book may be considered an update of Weyl's classic from 1946 "The classical groups, their invariants and representations". Naturally the theory has developed immensly since then and a new comprehensive presentation has been urgently overdue. Goodman and Wallach are not only among the most qualified to write this next "classic" on the subject, they also put a phantastic effort into making it comprehensive, readable, and pleasant to use. I found it easy to find needed r. 6 "The classical groups, their invariants and representations". Naturally the theory has developed immensly since then and a new comprehensive presentation has been urgently overdue. Goodman and Wallach are not only among the most qualified to write this next "classic" on the subject, they also put a phantastic effort into making it comprehensive, readable, and pleasant to use. I found it easy to find needed r. "typical math text" according to A Customer. Sadly, this book does not live up to itsreputation and can only be used by thosealready having a working knowledege ofthe subject. On top of that, the printingis atrocious in places - unacceptable foran expensive item.
The result is an incredibly richselection of beautiful topics from the current frontiers of representation theory and of invariant theory, whose study will be rewarding both to beginners and to experts in these fields." Bulletin of the American Mathematical Society . The book is organized transparently and written with exceptional care." Mathematical Reviews"An enormous amount of care and intelligent work has obviously gone into the preparation of this text. With its wealth of concrete detail, the book can serve well as a reference work. "In addition to providing a unified modern account of the subject, the authors often improve or complete the arguments found in the literature