Manuscript En08-A@1 · En08-A.tex · assumption · c688d76d

Assumption: Calibrated boost hypothesis

Signature and Lorentz-cone selection › Quadratic and boost alternatives · lines 1672–1684

There is a decomposition $V = R e_{0} \oplus W$ , a positive-definite inner product on $W$ , and $e_{0} \in int K$ . For every unit $n \in W$ and $s \in R$ , the map

B_{n} (s) : {t^{'} = t cosh s + (x \cdot n) sinh s, x^{'} = x + (t sinh s + (x \cdot n) (cosh s - 1)) n

belongs to $Aut (K)$ .

Displayed formulas in this passage

unlabeled · line 1676
$B_{n} (s) : {t^{'} = t cosh s + (x \cdot n) sinh s, x^{'} = x + (t sinh s + (x \cdot n) (cosh s - 1)) n$

Nearby in this section

assumption: Assumption: Quadratic representation hypothesis
section: Quadratic and boost alternatives
proposition: Proposition: Boosts select the cone
section: Quadratic and boost alternatives