First Cohomology with Trivial Coefficients of All Unitary Easy Quantum Group Duals
The first quantum group cohomology with trivial coefficients of the discrete dual of any unitary easy quantum group is computed. That includes those potential quantum groups whose associated categories of two-colored partitions have not yet been found.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2024 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2024
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212613 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | First Cohomology with Trivial Coefficients of All Unitary Easy Quantum Group Duals. Alexander Mang. SIGMA 20 (2024), 082, 40 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862711329744224256 |
|---|---|
| author | Mang, Alexander |
| author_facet | Mang, Alexander |
| citation_txt | First Cohomology with Trivial Coefficients of All Unitary Easy Quantum Group Duals. Alexander Mang. SIGMA 20 (2024), 082, 40 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The first quantum group cohomology with trivial coefficients of the discrete dual of any unitary easy quantum group is computed. That includes those potential quantum groups whose associated categories of two-colored partitions have not yet been found.
|
| first_indexed | 2026-03-19T15:15:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212613 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-19T15:15:33Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Mang, Alexander 2026-02-09T08:06:26Z 2024 First Cohomology with Trivial Coefficients of All Unitary Easy Quantum Group Duals. Alexander Mang. SIGMA 20 (2024), 082, 40 pages 1815-0659 2020 Mathematics Subject Classification: 20G42; 05A18 arXiv:2305.12494 https://nasplib.isofts.kiev.ua/handle/123456789/212613 https://doi.org/10.3842/SIGMA.2024.082 The first quantum group cohomology with trivial coefficients of the discrete dual of any unitary easy quantum group is computed. That includes those potential quantum groups whose associated categories of two-colored partitions have not yet been found. I want to thank Mortis Weber for being a magnificent PhD advisor and, in particular, for suggesting I work on this problem. Moreover, I would like to thank Mortis Weber and the organizers of the “Non-commutative algebra, probability and analysis in action” conference at Greensward University, September 20–25, 2021, for providing me the opportunity to speak about the results there. Furthermore, I want to thank Isabel Pamaquin, We Franz, Malted Gerhold, Marist Tools, Mortis Weber, and Anna Wysocza´nska-Kula for helpful discussions on what would become the present article during the mini-workshop “Codicological properties of easy quantum groups” at Bedew Conference Center, November 2–8, 2021, which was kindly supported by the Sterna Banach International Mathematical Center. Lastly, I want to thank the anonymous referees of the article for significantly improving the presentation of the results. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications First Cohomology with Trivial Coefficients of All Unitary Easy Quantum Group Duals Article published earlier |
| spellingShingle | First Cohomology with Trivial Coefficients of All Unitary Easy Quantum Group Duals Mang, Alexander |
| title | First Cohomology with Trivial Coefficients of All Unitary Easy Quantum Group Duals |
| title_full | First Cohomology with Trivial Coefficients of All Unitary Easy Quantum Group Duals |
| title_fullStr | First Cohomology with Trivial Coefficients of All Unitary Easy Quantum Group Duals |
| title_full_unstemmed | First Cohomology with Trivial Coefficients of All Unitary Easy Quantum Group Duals |
| title_short | First Cohomology with Trivial Coefficients of All Unitary Easy Quantum Group Duals |
| title_sort | first cohomology with trivial coefficients of all unitary easy quantum group duals |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212613 |
| work_keys_str_mv | AT mangalexander firstcohomologywithtrivialcoefficientsofallunitaryeasyquantumgroupduals |