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

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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.

Item Type: Article
Keywords: cyclic algebra, nonassociative cyclic algebra, nonassociative quaternion algebra, tensor product, division algebra
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1016/j.jalgebra.2015.12.007
Depositing User: Pumpluen, Susanne
Date Deposited: 21 Jun 2016 08:59
Last Modified: 25 Sep 2016 10:28
URI: http://eprints.nottingham.ac.uk/id/eprint/34235

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