| Title:
|
Quantum idempotence, distributivity, and the Yang-Baxter equation (English) |
| Author:
|
Smith, J. D. H. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
57 |
| Issue:
|
4 |
| Year:
|
2016 |
| Pages:
|
567-583 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Quantum quasigroups and loops are self-dual objects that provide a general framework for the nonassociative extension of quantum group techniques. They also have one-sided analogues, which are not self-dual. In this paper, natural quantum versions of idempotence and distributivity are specified for these and related structures. Quantum distributive structures furnish solutions to the quantum Yang-Baxter equation. (English) |
| Keyword:
|
Hopf algebra |
| Keyword:
|
quantum group |
| Keyword:
|
quasigroup |
| Keyword:
|
loop |
| Keyword:
|
quantum Yang-Baxter equation |
| Keyword:
|
distributive |
| MSC:
|
16T25 |
| MSC:
|
20N05 |
| idZBL:
|
Zbl 06674898 |
| idMR:
|
MR3583308 |
| DOI:
|
10.14712/1213-7243.2015.186 |
| . |
| Date available:
|
2017-01-09T22:21:36Z |
| Last updated:
|
2019-01-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145943 |
| . |
| Reference:
|
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