期刊论文详细信息
Symmetry Integrability and Geometry-Methods and Applications | |
Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms | |
article | |
Marco Matassa1  | |
[1] OsloMet - Oslo Metropolitan University | |
关键词: quantum flag manifolds; twisted Hochschild homology; K¨ahler forms 2020 Mathematics Subject Classification 17B37; 20G42; 16E40; | |
DOI : 10.3842/SIGMA.2020.098 | |
来源: National Academy of Science of Ukraine | |
【 摘 要 】
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.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO202106300000628ZK.pdf | 430KB | download |