Talk:Geometric algebra: Difference between revisions
m
→Task still needs something...: parenthesis
m (→Task still needs something...: parenthesis) |
|||
Line 117:
And, in fact, there are arbitrarily many complex rules one could apply to achieve quaternion multiplication and still satisfy those constraints. This means that the specification is incomplete. --[[User:Rdm|Rdm]] ([[User talk:Rdm|talk]]) 22:49, 17 October 2015 (UTC)
:Yes, there are trivial geometric algebras. <math>\R</math> is an obvious one. But if the vector space is of dimension at least 3, and if no vector is degenerate (<math>\mathbf{x}^2 = 0</math>), then quaternions can be made. Since I ask for an arbitrary dimension size, there is no need to require more.--[[User:Grondilu|Grondilu]] ([[User talk:Grondilu|talk]]) 22:56, 17 October 2015 (UTC)
:The specification of geometric algebras is very much complete. I did not invent them.--[[User:Grondilu|Grondilu]] ([[User talk:Grondilu|talk]]) 22:57, 17 October 2015 (UTC)
| |||