Geometry of Cyclic and Anticylic Algebras
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2016)
- Volume: 55, Issue: 2, page 23-27
- ISSN: 0231-9721
Access Full Article
top
Abstract
topHow to cite
topBurlakov, Igor M., and Jukl, Marek. "Geometry of Cyclic and Anticylic Algebras." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 55.2 (2016): 23-27. <http://eudml.org/doc/287926>.
@article{Burlakov2016,
abstract = {The article deals with spaces the geometry of which is defined by cyclic and anticyclic algebras. Arbitrary multiplicative function is taken as a fundamental form. Motions are given as linear transformation preserving given multiplicative function.},
author = {Burlakov, Igor M., Jukl, Marek},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Cyclic and anticyclic algebras; composition algebras; determinants of elements of linear algebras; multiplicative functions; groups of motions},
language = {eng},
number = {2},
pages = {23-27},
publisher = {Palacký University Olomouc},
title = {Geometry of Cyclic and Anticylic Algebras},
url = {http://eudml.org/doc/287926},
volume = {55},
year = {2016},
}
TY - JOUR
AU - Burlakov, Igor M.
AU - Jukl, Marek
TI - Geometry of Cyclic and Anticylic Algebras
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2016
PB - Palacký University Olomouc
VL - 55
IS - 2
SP - 23
EP - 27
AB - The article deals with spaces the geometry of which is defined by cyclic and anticyclic algebras. Arbitrary multiplicative function is taken as a fundamental form. Motions are given as linear transformation preserving given multiplicative function.
LA - eng
KW - Cyclic and anticyclic algebras; composition algebras; determinants of elements of linear algebras; multiplicative functions; groups of motions
UR - http://eudml.org/doc/287926
ER -
References
top- Vishnevsky, V. V., Shirokov, A. P., Shurigin, V. V., Spaces over Algebras, . Kazan University, Kazan, 1985, (in Russian). (1985)
- Shestakov, I. P., Shirokov, A. I., Slin’ko, A. M., Zhevlakov, K. A., Rings that are nearly associative, . Academic Press, New York, 1982. (1982) MR0668355
- Burlakov, M. P., Gamiltonovy algebry, . Graf-press, Moscow, 2006, (in Russian). (2006)
- Burlakov, M. P., Burlakov, I. M., Jukl, M., Hypercomplex algebras and geometry of spaces with fundamental form of an arbitary order, . Acta Univ. Palacki. Olomuc., Fac. Rer. Nat., Math. 55, 1 (2016), 31–38. (2016) MR3674597
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.