A unified approach to Fierz identities

Babalic, E. M.; Coman, I. A.; Lazaroiu, C. I.
November 2013
AIP Conference Proceedings;Nov2013, Vol. 1564 Issue 1, p57
Academic Journal
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.


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