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algebra

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Table 1: the Cayley–Dickson staircase from the reals to the sedenions, listing the property surrendered at each doubling of the dimension.

The Cayley–Dickson Staircase: What Each Doubling Costs

The Cayley–Dickson staircase is usually presented as far as the octonions. One step further, at the sedenions of real dimension 16, alternativity, division and the multiplicative norm all fall at once.

November 16, 20251 min read

algebra — posts | Dr. Denys Dutykh