Glossary of Semisimple Groups - W

W

• Weight (representation theory)
• Weight module
• Weight space
• Weyl chamber

A Weyl chamber is one of the connected components of the complement in V, a real vector space on which a root system is defined, when the hyperplanes orthogonal to the root vectors are removed.

• Weyl character formula

The Weyl character formula gives in closed form the characters of the irreducible complex representations of the simple Lie groups.

• Weyl group