Symmetry, Representations, and Invariants Book Reviews
Symmetry, Representations, and Invariants by Roe Goodman & Nolan R. Wallach Book Summary
Symmetry is a key ingredient in many mathematical, physical, and biological theories. Using representation theory and invariant theory to analyze the symmetries that arise from group actions, and with strong emphasis on the geometry and basic theory of Lie groups and Lie algebras, Symmetry, Representations, and Invariants is a significant reworking of an earlier highly-acclaimed work by the authors. The result is a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups, in a new presentation that is more accessible to students and includes a broader range of applications.
The philosophy of the earlier book is retained, i.e., presenting the principal theorems of representation theory for the classical matrix groups as motivation for the general theory of reductive groups. The wealth of examples and discussion prepares the reader for the complete arguments now given in the general case.
Key Features of Symmetry, Representations, and Invariants:
• Early chapters suitable for honors undergraduate or beginning graduate courses, requiring only linear algebra, basic abstract algebra, and advanced calculus
• Applications to geometry (curvature tensors), topology (Jones polynomial via symmetry), and combinatorics (symmetric group and Young tableaux)
• Self-contained chapters, appendices, comprehensive bibliography
• More than 350 exercises (most with detailed hints for solutions) further explore main concepts
• Serves as an excellent main text for a one-year course in Lie group theory
• Benefits physicists as well as mathematicians as a reference work
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| Book Name | Symmetry, Representations, and Invariants |
| Genre | Mathematics |
| Author | Roe Goodman & Nolan R. Wallach |
| Published | 30 July 2009, Thursday |
| Language | English |
| E-Book Size | 26.11 MB |
Symmetry, Representations, and Invariants (Roe Goodman & Nolan R. Wallach) Book Reviews 2024
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Summary of Symmetry, Representations, and Invariants by Roe Goodman & Nolan R. Wallach
The Symmetry, Representations, and Invariants book written by Roe Goodman & Nolan R. Wallach was published on 30 July 2009, Thursday in the Mathematics category. A total of 84 readers of the book gave the book 0 points out of 5.
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