Nishi, C. C.2014-05-202014-05-202005-12-01American Journal of Physics. Melville: Amer Associação Physics Teachers Amer Inst Physics, v. 73, n. 12, p. 1160-1163, 2005.0002-9505http://hdl.handle.net/11449/23433General Fierz-type identities are examined and their well-known connection with completeness relations in matrix vector spaces is shown. In particular, I derive the chiral Fierz identities in a simple and systematic way by using a chiral basis for the complex 4 X 4 matrices. Other completeness relations for the fundamental representations of SU(N) algebras can be extracted using the same reasoning. (c) 2005 American Association of Physics Teachers.1160-1163engArtigo10.1119/1.2074087WOS:000234099500010Acesso restritoWOS000234099500010.pdf