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Albert's twisted field construction using division algebras with a multiplicative norm (1504.00188v2)
Published 1 Apr 2015 in math.RA
Abstract: We generalize Albert's twisted field construction, applying it to unital division algebras with a multiplicative norm. We give conditions for the resulting algebras to be division algebras.Four- and eight-dimensional real unital and non-unital division algebras with large derivation algebras are constructed out of Hamilton's quaternion and Cayley's octonion algebra.