Symmetry, Representations, and Invariants

Name: Symmetry, Representations, and Invariants
Brand: Springer-Verlag New York Inc.
SKU: 9780387798516
Price: 26579 HUF
Availability: InStock

Szerző: Roe Goodman

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer-Verlag New York Inc.

Elérhetőség: Beszállítói készleten alacsony példányszámban

Küldés 13-18 napon belül

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Symmetry is a key ingredient in many mathematical, physical, and biological theories. Using represen...

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Szerző

Roe Goodman

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2009

oldal

716

EAN

9780387798516

ISBN

038779851X

Enbook ID

01235133

Kiadó

Springer-Verlag New York Inc.

Súly

1138

Méretek

156 x 241 x 35

Teljes leírás

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.

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Symmetry, Representations, and Invariants

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