Tensor products of nonassociative cyclic algebras
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 uni...
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| Format: | Article |
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Elsevier
2016
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| Online Access: | https://eprints.nottingham.ac.uk/34235/ |
| _version_ | 1848794804374208512 |
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| author | Pumpluen, Susanne |
| author_facet | Pumpluen, Susanne |
| author_sort | Pumpluen, Susanne |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:22:01Z |
| format | Article |
| id | nottingham-34235 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:22:01Z |
| publishDate | 2016 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-342352020-05-04T17:39:04Z https://eprints.nottingham.ac.uk/34235/ Tensor products of nonassociative cyclic algebras Pumpluen, Susanne 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. Elsevier 2016-04-01 Article PeerReviewed Pumpluen, Susanne (2016) Tensor products of nonassociative cyclic algebras. Journal of Algebra, 451 . pp. 145-165. ISSN 0021-8693 cyclic algebra nonassociative cyclic algebra nonassociative quaternion algebra tensor product division algebra http://www.sciencedirect.com/science/article/pii/S0021869315006213 doi:10.1016/j.jalgebra.2015.12.007 doi:10.1016/j.jalgebra.2015.12.007 |
| spellingShingle | cyclic algebra nonassociative cyclic algebra nonassociative quaternion algebra tensor product division algebra Pumpluen, Susanne Tensor products of nonassociative cyclic algebras |
| title | Tensor products of nonassociative cyclic algebras |
| title_full | Tensor products of nonassociative cyclic algebras |
| title_fullStr | Tensor products of nonassociative cyclic algebras |
| title_full_unstemmed | Tensor products of nonassociative cyclic algebras |
| title_short | Tensor products of nonassociative cyclic algebras |
| title_sort | tensor products of nonassociative cyclic algebras |
| topic | cyclic algebra nonassociative cyclic algebra nonassociative quaternion algebra tensor product division algebra |
| url | https://eprints.nottingham.ac.uk/34235/ https://eprints.nottingham.ac.uk/34235/ https://eprints.nottingham.ac.uk/34235/ |