https://hal-cea.archives-ouvertes.fr/cea-01572342Coddens, GerritGerritCoddensLSI - Laboratoire des Solides Irradiés - CEA - Commissariat à l'énergie atomique et aux énergies alternatives - X - École polytechnique - CNRS - Centre National de la Recherche ScientifiqueSpinors for everyoneHAL CCSD2017[PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph]Coddens, Gerrit2017-08-07 05:15:542023-02-08 17:11:022017-08-07 17:19:32enOther publicationsapplication/pdf1It is hard to find intuition for spinors in the literature. We provide this intuition by explaining all the underlying ideas in a way that can be understood by everybody who knows the definition of a group, complex numbers and matrix algebra. We first work out these ideas for the representation SU(2) of the three-dimensional rotation group in R 3. In a second stage we generalize the approach to rotation groups in vector spaces R n of arbitrary dimension n > 3, endowed with an Euclidean metric. The reader can obtain this way an intuitive understanding of what a spinor is. We discuss the meaning of making linear combinations of spinors.