most citedThe degree of an eight-dimensional real quadratic division algebra is 1, 3, or 5

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math.RA2009★ 1 cited

The degree of an eight-dimensional real quadratic division algebra is 1, 3, or 5

Ernst Dieterich, Ryszard Rubinsztein

A celebrated theorem of Hopf, Bott, Milnor, and Kervaire states that every finite-dimensional real division algebra has dimension 1, 2, 4, or 8. While the real division algebras of…