Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms
We study the twisted Hochschild homology of quantum flag manifolds, the twist being the modular automorphism of the Haar state. We prove that every quantum flag manifold admits a non-trivial class in degree two, with an explicit representative defined in terms of a certain projection. The correspond...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2020 |
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| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2020
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211022 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms. Marco Matassa. SIGMA 16 (2020), 098, 18 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862750329016156160 |
|---|---|
| author | Matassa, Marco |
| author_facet | Matassa, Marco |
| citation_txt | Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms. Marco Matassa. SIGMA 16 (2020), 098, 18 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We study the twisted Hochschild homology of quantum flag manifolds, the twist being the modular automorphism of the Haar state. We prove that every quantum flag manifold admits a non-trivial class in degree two, with an explicit representative defined in terms of a certain projection. The corresponding classical two-form, via the Hochschild-Kostant-Rosenberg theorem, is identified with a Kähler form on the flag manifold.
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| first_indexed | 2026-04-17T20:19:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211022 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-04-17T20:19:06Z |
| publishDate | 2020 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Matassa, Marco 2025-12-22T09:31:30Z 2020 Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms. Marco Matassa. SIGMA 16 (2020), 098, 18 pages 1815-0659 2020 Mathematics Subject Classification: 17B37; 20G42; 16E40 arXiv:2003.10305 https://nasplib.isofts.kiev.ua/handle/123456789/211022 https://doi.org/10.3842/SIGMA.2020.098 We study the twisted Hochschild homology of quantum flag manifolds, the twist being the modular automorphism of the Haar state. We prove that every quantum flag manifold admits a non-trivial class in degree two, with an explicit representative defined in terms of a certain projection. The corresponding classical two-form, via the Hochschild-Kostant-Rosenberg theorem, is identified with a Kähler form on the flag manifold. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms Article published earlier |
| spellingShingle | Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms Matassa, Marco |
| title | Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms |
| title_full | Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms |
| title_fullStr | Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms |
| title_full_unstemmed | Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms |
| title_short | Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms |
| title_sort | twisted hochschild homology of quantum flag manifolds and kähler forms |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211022 |
| work_keys_str_mv | AT matassamarco twistedhochschildhomologyofquantumflagmanifoldsandkahlerforms |