dualCoxeterNumber -- returns the dual Coxeter number of a simple Lie algebra

Synopsis

Usage:

dualCoxeterNumber(g)
Inputs:
- g, an instance of the type LieAlgebra, a simple Lie algebra
Outputs:
- n, an integer, the dual Coxeter number of g

Description

The dual Coxeter number is defined as the sum of the comarks plus 1. See Di Francesco, Mathieu, and Senechal, Conformal Field Theory, Springer Graduate Texts in Theoretical Physics, Formula (13.35) and Appendix A.

i1 : dualCoxeterNumber("A",2)

o1 = 3

i2 : g=simpleLieAlgebra("A",2)

o2 = g

o2 : simple LieAlgebra

i3 : dualCoxeterNumber(g)

o3 = 3

Ways to use dualCoxeterNumber :

dualCoxeterNumber(LieAlgebra)
dualCoxeterNumber(String,ZZ)

For the programmer

The object dualCoxeterNumber is a method function.