| Title:
|
Bol loop actions (English) |
| Author:
|
Sbitneva, Larissa |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
41 |
| Issue:
|
2 |
| Year:
|
2000 |
| Pages:
|
405-408 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The notions of left Bol and Bol-Bruck actions are introduced. A purely algebraic analogue of a Nono family (Lie triple family), the so called Sabinin-Nono family, is given. It is shown that any Sabinin-Nono family is a left Bol-Bruck action. Finally it is proved that any local Nono family is a local left Bol-Bruck action. On general matters see [L.V. Sabinin 91, 99]. (English) |
| Keyword:
|
Bol loop action |
| Keyword:
|
Lie triple family |
| Keyword:
|
Nono family |
| MSC:
|
20N05 |
| MSC:
|
22A22 |
| MSC:
|
53A60 |
| idZBL:
|
Zbl 1082.20507 |
| idMR:
|
MR1780881 |
| . |
| Date available:
|
2009-01-08T19:02:45Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119173 |
| . |
| Reference:
|
[61]
: Sur les familles triples locales de transformations locales de Lie.J. Sci. Hiroshima Univ., Ser. A-I Math. 25 (1961), 357-366 MR 28 (1964) #2174b. Zbl 0113.15801, MR 0158953 |
| Reference:
|
[91]
: Analytic Quasigroups and Geometry (Russian).Monograph Friendship of Nations University Press Moscow (1991), 112 pp. MR 1284471 |
| Reference:
|
[99]
: Smooth Quasigroups and Loops.Kluwer Academic Publishers Dordrecht, The Netherlands (1999), xvi + 249 pp. Zbl 0939.20064, MR 1727714 |
| . |
