Factorization in the Composition Algebras
نویسنده
چکیده
Let O be a maximal arithmetic in one of the four (non-split) composition algebras over R, and let ] = mn be the norm of an element in O. Rehm 15] describes an algorithm for nding all factorizations of as = , where ] = m, ] = n and (m; n) = 1. Here, we extend the algorithm to general , m, and n, providing precise geometrical conngurations for the sets of left-and right-hand divisors.
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