# Arcadian Functor

occasional meanderings in physics' brave new world

Name:
Location: New Zealand

Marni D. Sheppeard

## Thursday, June 19, 2008

### Idempotent Nilpotent II

A nicer way to represent the neutrino tetrahedron group with $3 \times 3$ operators is to choose since this also obeys $T^{3} = 1$ and $(TS)^{3} = 1$ but $T$ looks a lot more like the circulant $S$ than a diagonal operator. Moreover, the quantum Fourier diagonal still appears in the relation from which it also follows that $T = SD$ and $T^{2} = S \overline{D} = S D^{2}$ where $\overline{D}$ is just the rotation in the opposite direction in the plane. Observe how the squaring of $T$ shifts the horizontal phase factors to vertical ones.

#### 2 Comments:

CarlBrannen said...

Wow, maybe all physicists should experience a little starvation every now and then. I guess if you have an academic job, this is the time of year where you take a break. Things are very quiet.

June 20, 2008 7:59 AM
Kea said...

You know, it really is kind of odd that nobody seems interested in your post about meson masses.

June 20, 2008 9:53 AM