A unified approach to Fierz identities

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...

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Bibliographic Details
Main Authors: Babalic, E M, Coman, I A, Lazaroiu, C I
Format: Conference Proceeding
Language:English
Online Access:Get full text
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Summary: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4832796