Symmetry, Representations, and Invariants

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, Represen...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Goodman, Roe (Author), Wallach, Nolan R. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York : Imprint: Springer, 2009.
Edition:1st ed. 2009.
Series:Graduate Texts in Mathematics, 255
Subjects:
Group theory.
Algebra.
Geometry.
Mathematical physics.
Topological groups.
Lie groups.
Universal algebra.
Group Theory and Generalizations.
Mathematical Methods in Physics.
Topological Groups and Lie Groups.
General Algebraic Systems.
Online Access:Texto Completo
Table of Contents:
  • Lie Groups and Algebraic Groups
  • Structure of Classical Groups
  • Highest-Weight Theory
  • Algebras and Representations
  • Classical Invariant Theory
  • Spinors
  • Character Formulas
  • Branching Laws
  • Tensor Representations of GL(V)
  • Tensor Representations of O(V) and Sp(V)
  • Algebraic Groups and Homogeneous Spaces
  • Representations on Spaces of Regular Functions.

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