Tensor products of nonassociative cyclic algebras

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

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Official URL: http://www.sciencedirect.com/science/article/pii/S0021869315006213

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.

Item Type:	Article
RIS ID:	https://nottingham-repository.worktribe.com/output/778014
Keywords:	cyclic algebra, nonassociative cyclic algebra, nonassociative quaternion algebra, tensor product, division algebra
Schools/Departments:	University of Nottingham, UK > 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:	04 May 2020 17:39
URI:	https://eprints.nottingham.ac.uk/id/eprint/34235

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