Elementary Results for the Fundamental Representation of SU(3)

Thomas L. Curtright, Cosmas K. Zachos

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


A general group element for the fundamental representation of SU(3) can always be expressed as a second order polynomial in a Hermitian generating matrix H, with coefficients consisting of elementary trigonometric functions dependent on the sole invariant det(H), in addition to the group parameter.

Original languageEnglish (US)
Pages (from-to)401-404
Number of pages4
JournalReports on Mathematical Physics
Issue number3
StatePublished - Dec 1 2015


  • Cayley
  • Cayley-Hamilton
  • Gell-Mann
  • Resolvent
  • SU(3)

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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