| Title:
|
Drinfeld doubles via derived Hall algebras and Bridgeland's Hall algebras (English) |
| Author:
|
Xu, Fan |
| Author:
|
Zhang, Haicheng |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
71 |
| Issue:
|
1 |
| Year:
|
2021 |
| Pages:
|
253-267 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let ${\cal A}$ be a finitary hereditary abelian category. We give a Hall algebra presentation of Kashaev's theorem on the relation between Drinfeld double and Heisenberg double. As applications, we obtain realizations of the Drinfeld double Hall algebra of ${\cal A}$ via its derived Hall algebra and Bridgeland's Hall algebra of $m$-cyclic complexes. (English) |
| Keyword:
|
Heisenberg double |
| Keyword:
|
Drinfeld double |
| Keyword:
|
derived Hall algebra |
| Keyword:
|
Bridgeland's Hall algebra |
| MSC:
|
16G20 |
| MSC:
|
17B20 |
| MSC:
|
17B37 |
| idZBL:
|
07332715 |
| idMR:
|
MR4226480 |
| DOI:
|
10.21136/CMJ.2020.0313-19 |
| . |
| Date available:
|
2021-03-12T16:14:35Z |
| Last updated:
|
2023-04-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148738 |
| . |
| Reference:
|
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| Reference:
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| . |
