Elementary Results for the Fundamental Representation of SU(3)
Abstract
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.
- Publication:
-
Reports on Mathematical Physics
- Pub Date:
- December 2015
- DOI:
- 10.1016/S0034-4877(15)30040-9
- arXiv:
- arXiv:1508.00868
- Bibcode:
- 2015RpMP...76..401C
- Keywords:
-
- SU(3);
- Gell-Mann;
- Cayley-Hamilton;
- resolvent;
- Cayley;
- Mathematics - Representation Theory;
- High Energy Physics - Theory
- E-Print:
- In memoriam Yoichiro Nambu (1921-2015)