| Title:
|
An introduction to loopoids (English) |
| Author:
|
Grabowski, Janusz |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
57 |
| Issue:
|
4 |
| Year:
|
2016 |
| Pages:
|
515-526 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We discuss a concept of loopoid as a non-associative generalization of Brandt groupoid. We introduce and study also an interesting class of more general objects which we call semiloopoids. A differential version of loopoids is intended as a framework for Lagrangian discrete mechanics. (English) |
| Keyword:
|
group |
| Keyword:
|
Brandt groupoid |
| Keyword:
|
Lie group |
| Keyword:
|
loop |
| Keyword:
|
transversals |
| Keyword:
|
discrete mechanics |
| MSC:
|
20L05 |
| MSC:
|
20N05 |
| MSC:
|
22A22 |
| MSC:
|
22E15 |
| MSC:
|
22E60 |
| MSC:
|
58H05 |
| idZBL:
|
Zbl 06674893 |
| idMR:
|
MR3583303 |
| DOI:
|
10.14712/1213-7243.2015.184 |
| . |
| Date available:
|
2017-01-09T22:16:57Z |
| Last updated:
|
2019-01-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145949 |
| . |
| Reference:
|
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