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arXiv · 1504.00194

Tensor products of nonassociative cyclic algebras

Susanne Pumpluen
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Abstract

We study the tensor product of an associative and a nonassociative cyclic algebra. The condition for the tensor product to be a division algebra equals the classical one for the tensor product of two associative cyclic algebras by Albert or Jacobson, if the base field contains a suitable root of unity. Stronger conditions are obtained in special cases. Applications to space-time block coding are discussed.

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Susanne Pumpluen. 2015-04-01. Tensor products of nonassociative cyclic algebras. https://doi.org/10.1016/j.jalgebra.2015.12.007

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