Symmetry, Representations, and Invariants by Nolan R. Wallach, Roe Goodman

Symmetry, Representations, and Invariants



Download Symmetry, Representations, and Invariants




Symmetry, Representations, and Invariants Nolan R. Wallach, Roe Goodman
Language: English
Page: 737
Format: pdf
ISBN: 038779851X, 9780387798516
Publisher: Springer

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.

MORE EBOOKS:
Download Antenna Engineering Handbook e book
Uttering Trees (Linguistic Inquiry Monographs) ebook free download
Download Medicine and Surgery of Camelids, 3rd Edition epub
La fusion de la culture hip-hop et du mouvement rastafari e book free download







Tags: Symmetry, Representations, and Invariants ebook pdf epub djvu mobi rar
Symmetry, Representations, and Invariants pdf epub djvu free download
Download Symmetry, Representations, and Invariants free ebook pdf epub
Symmetry, Representations, and Invariants read online free book
Symmetry, Representations, and Invariants cheap ebook for kindle and nook
Nolan R. Wallach, Roe Goodman ebooks and audio books
Symmetry, Representations, and Invariants download pdf epub rar rapidshare mediafire fileserve 4shared torrent depositfiles scribd