Tensor products of nonassociative cyclic algebras
Rings and Algebras
2021-04-13 v2
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.
Keywords
Cite
@article{arxiv.1504.00194,
title = {Tensor products of nonassociative cyclic algebras},
author = {Susanne Pumpluen},
journal= {arXiv preprint arXiv:1504.00194},
year = {2021}
}
Comments
Final version, contains additional information on how to use the investigated algebras to build fast-decodable fully diverse space-time block codes; to appear in Journal of Algebra