| Title:
|
Geometry of Cyclic and Anticylic Algebras (English) |
| Author:
|
Burlakov, Igor M. |
| Author:
|
Jukl, Marek |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
55 |
| Issue:
|
2 |
| Year:
|
2016 |
| Pages:
|
23-27 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Cyclic and anticyclic algebras |
| Keyword:
|
composition algebras |
| Keyword:
|
determinants of elements of linear algebras |
| Keyword:
|
multiplicative functions |
| Keyword:
|
groups of motions |
| MSC:
|
15A66 |
| MSC:
|
53B30 |
| MSC:
|
57R15 |
| idZBL:
|
Zbl 1367.53013 |
| . |
| Date available:
|
2017-03-16T12:36:57Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146058 |
| . |
| Reference:
|
[1] Vishnevsky, V. V., Shirokov, A. P., Shurigin, V. V.: Spaces over Algebras.. Kazan University, Kazan, 1985, (in Russian). |
| Reference:
|
[2] Shestakov, I. P., Shirokov, A. I., Slin’ko, A. M., Zhevlakov, K. A.: Rings that are nearly associative.. Academic Press, New York, 1982. MR 0668355 |
| Reference:
|
[3] Burlakov, M. P.: Gamiltonovy algebry.. Graf-press, Moscow, 2006, (in Russian). |
| Reference:
|
[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. MR 3674597 |
| . |
