character -- Computes the character of a Lie algebra module

Synopsis

Usage:

character V
Inputs:
- V, an instance of the type LieAlgebraModule,
Optional inputs:
- Strategy => ..., default value null
Outputs:
- C, a ring element,

Description

An optional argument "Strategy" allows to specify which algorithm to use: "Freudenthal" for Freudenthal's recursive algorithm; see Humphreys, Introduction to Lie Algebras and Representation Theory, Section 22.3. "Weyl" for Weyl's character formula (in classical types). "JacobiTrudi" and "JacobiTrudi'" for Jacobi-Trudi and dual Jacobi-Trudi formulae (in type A).

Ways to use character :

character(LieAlgebra,List)
character(LieAlgebra,Vector)
character(LieAlgebraModule)

For the programmer

The object character is a method function with options.

character -- Computes the character of a Lie algebra module

Synopsis

Description

See also

Ways to use character :

For the programmer