Skew braces and Hopf–Galois structures of Heisenberg type
- Submitting institution
-
University of Greenwich
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- 24842
- Type
- D - Journal article
- DOI
-
10.1016/j.jalgebra.2019.01.012
- Title of journal
- Journal of Algebra
- Article number
- -
- First page
- 187
- Volume
- 524
- Issue
- -
- ISSN
- 0021-8693
- Open access status
- Technical exception
- Month of publication
- January
- Year of publication
- 2019
- URL
-
-
- Supplementary information
-
-
- Request cross-referral to
- 10 - Mathematical Sciences
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
-
0
- Research group(s)
-
-
- Citation count
- 9
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- The paper classifies algebraic structures widely studied in number theory of field extensions. These structures have furthermore recently become linked to a fundamental equation in mathematical physics, the Yang-Baxter equation. The calculations within this paper provide a complete explicit description of a family of these objects, Hopf-Galois structures, studied in number theory, and skew braces, studied for their relevance to the Yang-Baxter equation, revealing several important properties, and paving the way for further future detailed investigations to be conducted.
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -
