To my understanding, this new Geometric algebra thing is actually nothing more than years old Clifford Algebra. Yet it is advertised by many of its proponents as a fundamentally new thing; why is that?
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Some history here https://en.wikipedia.org/wiki/Geometric_algebra The term "geometric algebra" was repopularized in the 1960s by Hestenes, who advocated its importance to relativistic physics. – Gerald Edgar Jun 01 '23 at 10:28
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2Among professional mathematicians, there was no change. – Moishe Kohan Jun 01 '23 at 11:39
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It is a "fringe" (but valid) approach also in theoretical physics. For some time, though, there was a Geometric Algebra Group at Cambridge University. Some useful material can be found here. – Tom Heinzl Jun 01 '23 at 14:35