2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/38584A new class of lattice Dirac operators $D$ have been recently proposed on the basis of the generalized Ginsparg-Wilson relation, $γ_5(γ_5 D) + (γ_5 D)γ_5 =2a^{2k+1}(γ_5 D)^{2k+2}$, where $k$ is a non-negative integer. We discuss the index theorem and locality properties for this general class of lattice Dirac operators.3 pages, Lattice2001(chiral femions)High Energy Physics - LatticeProperties of a New Class of Lattice Dirac Operatorstext