Weyl's Construction

The following sections are included:

• Weyl's construction for classical groups

  • Weyl's construction for U(n)

  • Weyl's construction for O(n) and Sp(2m)

• Extension of Weyl's construction to exceptional groups

  • Introduction to Weyl's construction

  • Invariant theory of G₂

  • Contractions, expansions and the commutator algebra

  • Tensor power decomposition and Weyl's construction

• Faithful irreducible representations