| Title:
|
Division algebras that generalize Dickson semifields (English) |
| Author:
|
Thompson, Daniel |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 (print) |
| ISSN:
|
2336-1298 (online) |
| Volume:
|
28 |
| Issue:
|
2 |
| Year:
|
2020 |
| Pages:
|
89-102 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We generalize Knuth's construction of Case I semifields quadratic over a weak nucleus, also known as generalized Dickson semifields, by doubling of central simple algebras. We thus obtain division algebras of dimension $2s^2$ by doubling central division algebras of degree $s$. Results on isomorphisms and automorphisms of these algebras are obtained in certain cases. (English) |
| Keyword:
|
Nonassociative algebras |
| Keyword:
|
division algebras |
| Keyword:
|
automorphisms |
| MSC:
|
17A35 |
| MSC:
|
17A36 |
| MSC:
|
17A60 |
| idZBL:
|
Zbl 07300183 |
| idMR:
|
MR4162923 |
| . |
| Date available:
|
2021-03-02T17:16:03Z |
| Last updated:
|
2021-03-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148685 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| . |
