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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Goodman, Roe (Autor), Wallach, Nolan R. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Graduate Texts in Mathematics, 255
Temas:
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.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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