| Title:
|
Quantised $\mathfrak{sl}_2$-differential algebras (English) |
| Author:
|
Krutov, Andrey |
| Author:
|
Pandžić, Pavle |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
60 |
| Issue:
|
5 |
| Year:
|
2024 |
| Pages:
|
351-364 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We propose a definition of a quantised ${\mathfrak{sl}}_2$-differential algebra and show that the quantised exterior algebra (defined by Berenstein and Zwicknagl) and the quantised Clifford algebra (defined by the authors) of ${\mathfrak{sl}}_2$ are natural examples of such algebras. (English) |
| Keyword:
|
quantum group |
| Keyword:
|
Clifford algebra |
| Keyword:
|
quantised exterior algebra |
| Keyword:
|
$\mathfrak{g}$-differential algebra |
| MSC:
|
16T20 |
| MSC:
|
17B37 |
| MSC:
|
81R50 |
| DOI:
|
10.5817/AM2024-5-351 |
| . |
| Date available:
|
2024-12-13T18:49:52Z |
| Last updated:
|
2024-12-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152656 |
| . |
| Reference:
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