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Tensor products of nonassociative cyclic algebras

Pumpluen, Susanne

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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.

Journal Article Type Article
Acceptance Date Dec 16, 2015
Online Publication Date Dec 22, 2015
Publication Date Apr 1, 2016
Deposit Date Jun 21, 2016
Publicly Available Date Jun 21, 2016
Journal Journal of Algebra
Print ISSN 0021-8693
Electronic ISSN 0021-8693
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 451
DOI https://doi.org/10.1016/j.jalgebra.2015.12.007
Keywords cyclic algebra, nonassociative cyclic algebra, nonassociative quaternion algebra, tensor product, division algebra
Public URL https://nottingham-repository.worktribe.com/output/778014
Publisher URL http://www.sciencedirect.com/science/article/pii/S0021869315006213

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