Division algebras that generalize Dickson semifields
Communications in Mathematics (2020)
- Volume: 28, Issue: 2, page 89-102
- ISSN: 1804-1388
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topThompson, Daniel. "Division algebras that generalize Dickson semifields." Communications in Mathematics 28.2 (2020): 89-102. <http://eudml.org/doc/297041>.
@article{Thompson2020,
abstract = {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.},
author = {Thompson, Daniel},
journal = {Communications in Mathematics},
keywords = {Nonassociative algebras; division algebras; automorphisms},
language = {eng},
number = {2},
pages = {89-102},
publisher = {University of Ostrava},
title = {Division algebras that generalize Dickson semifields},
url = {http://eudml.org/doc/297041},
volume = {28},
year = {2020},
}
TY - JOUR
AU - Thompson, Daniel
TI - Division algebras that generalize Dickson semifields
JO - Communications in Mathematics
PY - 2020
PB - University of Ostrava
VL - 28
IS - 2
SP - 89
EP - 102
AB - 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.
LA - eng
KW - Nonassociative algebras; division algebras; automorphisms
UR - http://eudml.org/doc/297041
ER -
References
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