量子旗流形的扭曲霍赫希尔德同调与Kähler形式
Twisted Hochschild Homology of Quantum Flag Manifolds and Kähler Forms
摘要：
研究了量子旗流形的扭曲霍赫希尔德同调，扭曲是Haar态的模自同构。我们证明了每个量子旗流形都有一个非平凡的二次类，并有一个明确的代表定义在某个投影上。通过Hochschild-Kostant-Rosenberg定理，对应的经典二形式与旗流形上的Kähler形式一致。
英文摘要：
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.
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