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LieTypes :: dualCoxeterNumber

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

Synopsis

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 : LieAlgebra
i3 : dualCoxeterNumber(g)

o3 = 3

Ways to use dualCoxeterNumber :