Tensor products of nonassociative cyclic algebras
Pumpluen, Susanne (2016) Tensor products of nonassociative cyclic algebras. Journal of Algebra, 451 . pp. 145-165. ISSN 0021-8693
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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