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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Abelian acting algebra angles angular momentum appear applied atom automorphism axis basis vectors characters Check classes coefficients combinations commute complete consider defined definition depend describing determined diagonal dimension direct discussion effect 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 mathematics matrices matrix elements means multiplication normal objects observer obtained operators orthogonal parameters perhaps permutations physical possible Problem properties Prove quantum quantum mechanics questions range reader realization reason reducible 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