3 ms·
Doesn't the example show that (ii): e1□e2 = -e2□e1 and (iii): (e1□e2)□e3 = e1□(e2□e3) contradict each other? In the end we end up with (e1□e3)□
by tobbe2064 9y ago
Doesn't the example show that
(ii): e1□e2 = -e2□e1
and
(iii): (e1□e2)□e3 = e1□(e2□e3)
contradict each other?
In the end we end up with
(e1□e3)□e5 = e5□(e1□e3)
which seems to go against (ii)
- aquamongoose 9y agoNo: (ii) only holds when e1, e2 come from the original vector space (not the product).