A unified approach to Fierz identities
arXiv:1303.1575 · doi:10.1063/1.4832796
Abstract
We summarize a unified and computationally efficient treatment of Fierz identities for form-valued pinor bilinears in various dimensions and signatures, using concepts and techniques borrowed from a certain approach to spinors known as geometric algebra. Our formulation displays the real, complex and quaternionic structures in a conceptually clear manner, which is moreover amenable to implementation in various symbolic computation systems.
6 pages, 5 tables, proceedings for TIM-12 Conference of Physics