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From: mam@charm.UUCP (Matthew Marcus)
Newsgroups: net.math,net.philosophy
Subject: Re: i**i, foundations and philosophy
Message-ID: <251@charm.UUCP>
Date: Tue, 21-Feb-84 14:07:47 EST
Article-I.D.: charm.251
Posted: Tue Feb 21 14:07:47 1984
Date-Received: Wed, 22-Feb-84 07:09:14 EST
References: <230@houem.UUCP>, <363@ihlts.UUCP> <1959@mcnc.UUCP>, <683@ihuxq.UUCP>
Organization: Physics Research - AT&T Bell Labs MH
Lines: 9


	The best mapping for quaternions is to Pauli spin matrices which have
the same algebra.  The reason you don't hear too much about generalizations
of complex numbers is that all such are equivalent to representations of
Lie groups, usually the rotation group.  For example, Pauli matrices are
the bases of the 2x2 matrix rep. of the rotation group in 3D.  See any
good quantum mech. text for more details.

	{BTL}!charm!mam