The Arm Lie Group Theory

Boris Arm (1)

1 IML - Institut de mathématiques de Luminy

We developp the Arm-Lie group theory which is a theory based onthe exponential of a changing of matrix variable u(X). We de ne a corresponding u-adjoint action, the corresponding commutation relations in the Arm-Lie algebra and the u-Jacobi identity. Throught the exponentiation, Arm-Lie algebras become Arm-Lie groups. We give the example of p p so(2) and p p su(2).

Domaines: Physique mathématique [math-ph]

Boris Arm. The Arm Lie Group Theory. 2013. ⟨hal-00810540⟩