Group Theory: An Intuitive ApproachA thorough introduction to group theory, this (highly problem-oriented) book goes deeply into the subject to provide a fuller understanding than available anywhere else. The book aims at, not only teaching the material, but also helping to develop the skills needed by a researcher and teacher, possession of which will be highly advantageous in these very competitive times, particularly for those at the early, insecure, stages of their careers. And it is organized and written to serve as a reference to provide a quick introduction giving the essence and vocabulary useful for those who need only some slight knowledge, those just learning, as well as researchers, and especially for the latter it provides a grasp, and often material and perspective, not otherwise available. |
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Contents
The Physical Principles of Group Theory | 1 |
Examples of Groups | 29 |
Groups as Mathematical Objects | 67 |
Groups Combinations Subsets | 106 |
Representations | 146 |
The Group as a Representation of Itself | 170 |
Properties of Representations | 180 |
VIIIThe Symmetric Group and its Representations | 214 |
DK 31 Representation matrices of | 256 |
The Rotation Groups and their Relatives | 269 |
Representations of Groups SO3 and SU2 | 304 |
Applications of Representations of SO3 and O3 | 339 |
Lie Algebras | 367 |
Representations of Lie Algebras | 402 |
A SU3 and States of Some of its Representations | 427 |
Properties and Applications of Symmetric Groups | 248 |
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Common terms and phrases
Abelian acting algebra angles angular momentum appear applied atom automorphism axis basis basis vectors characters Check classes coefficients combinations commute complete consider defined definition depend describing determined diagonal dimension direct discussion eigenvalues equal equation equivalent examples Explain field finite frames functions give given group table group theory identity important independent indices interesting invariant inverse irreducible representations isomorphic labeled leave Lie algebra mathematical matrices matrix elements means multiplication normal objects observer obtained operators orthogonal parameters perhaps permutations physical possible Problem properties Prove quantum quantum mechanics range reader realization reason reducible reflection regular relationship representation require roots rotation rotation group rule semisimple Show similarity simple space square standard subgroup symbols symmetric groups symmetry tableaux tions transformations transpositions types unitary values vectors weight Write written
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Bibliographic information
| Title | Group Theory: An Intuitive Approach |
| Author | R. Mirman |
| Edition | reprint |
| Publisher | World Scientific, 1995 |
| ISBN | 9810233655, 9789810233655 |
| Length | 492 pages |
| Subjects | › Mathematics / Group Theory |
| Export Citation | BiBTeX EndNote RefMan |