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Symmetry, Representations, and Invariants by Roe Goodman, Nolan R. Wallach (Paperback, 2010)

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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: (1) Early chapters suitable for honors undergraduate or beginning graduate courses, requiring only linear algebra, basic abstract algebra, and advanced calculus; (2) Applications to geometry (curvature tensors), topology (Jones polynomial via symmetry), and combinatorics (symmetric group and Young tableaux); (3) Self-contained chapters, appendices, comprehensive bibliography; (4) More than 350 exercises (most with detailed hints for solutions) further explore main concepts; (5) Serves as an excellent main text for a one-year course in Lie group theory; (6) Benefits physicists as well as mathematicians as a reference work.

Product Identifiers

Publisher
Springer-Verlag New York Inc.
ISBN-13
9781441927293
eBay Product ID (ePID)
109175274

Product Key Features

Author
Roe Goodman, Nolan R. Wallach
Publication Name
Symmetry, Representations, and Invariants
Format
Paperback
Language
English
Subject
Mathematics, Physics
Publication Year
2010
Type
Textbook
Number of Pages
716 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
255
Item Weight
1110g

Additional Product Features

Title_Author
Roe Goodman, Nolan R. Wallach
Series Title
Graduate Texts in Mathematics
Country/Region of Manufacture
United States

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Symmetry, Representations, and Invariants by Roe Goodman, Nolan R. Wallach (Paperback, 2010)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

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