On Wednesday, 1 June 2022 at 05:41:33 UTC+2 hongy...@gmail.com wrote: > On Wednesday, June 1, 2022 at 1:55:45 AM UTC+8 Nils Bruin wrote: > >> The "GO" mentioned here should correspond to the O(3;1) (or perhaps >> O(1;3) ) mentioned in the wikipedia article. >> > > Do you mean that these two ways of writing are a matter of convention? >
setting t,x,y,z as coordinates on 4-space, O(3;1) is the group of matrices preserving the quadratic form t^2+x^2+y^2-z^2 (three plusses, one minus) and O(1;3) the group of matrices preserving the quadratic form t^2-x^2-y^2-z^2 (one plus, three minuses). Hence, the definitions of the two groups are different: it's not just convention. The two groups are isomorphic, though, and one isomorphism is given by swapping t and z. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/3f021d93-7d5f-4eed-8f45-8c700d9ee857n%40googlegroups.com.
