Francesco Toppan
CBPF, Rio de Janeiro, Brazil
Irreducible representations of the 1D N-Extended Superalgebra.
Abstract: In this talk I review recent results concerning the classification of the finite linear irreducible representations of the 1D N-Extended Superalgebra (the algebra of the one-dimensional Supersymmetric Quantum Mechanics). Several results will be presented about the dimensionality and type of irreducible multiplets. The presentation of irreps in terms of certain classes of N-colored oriented graphs (and their connectivity properties) will be introduced. Some open problems will be discussed.