Symmetry, representations, and invariants

Symmetry, representations, and invariants / Roe Goodman, Nolan R. Wallach.

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Bibliographic Details
Main Author: Goodman, Roe
Other Authors: Wallach, Nolan R.
Format: Book
Language:English
Published: Dordrecht [Netherlands] ; New York : Springer, c2009.
Series:Graduate texts in mathematics ; 255.
Subjects:
Representations of groups.
Invariants.
Symmetry (Mathematics)
Lie groups.
Algebra.
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
  • Algebraic geometry
  • Linear and multilinear algebra
  • Associative algebras and lie algebras - Manifolds and Lie groups.

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