Geometry of Cyclic and Anticylic Algebras

Igor M. Burlakov; Marek Jukl

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2016)

  • Volume: 55, Issue: 2, page 23-27
  • ISSN: 0231-9721

Abstract

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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.

How to cite

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Burlakov, 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

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  1. Vishnevsky, V. V., Shirokov, A. P., Shurigin, V. V., Spaces over Algebras, . Kazan University, Kazan, 1985, (in Russian). (1985) 
  2. 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
  3. Burlakov, M. P., Gamiltonovy algebry, . Graf-press, Moscow, 2006, (in Russian). (2006) 
  4. 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

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