User kevin cahill - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T02:08:21Z http://mathoverflow.net/feeds/user/4417 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/17264/why-dont-quaternions-have-an-overall-phase Why don't quaternions have an overall phase? Kevin Cahill 2010-03-06T04:22:29Z 2013-03-14T12:20:31Z <p>The product of a quaternion multiplied by a real number is a quaternion, but the product of a quaternion multiplied by a complex number is not in general a quaternion. Why are the quaternions defined so narrowly? What was gained by banning zq=q' where z is complex and q and q' are quaternions? </p>