# On generalized K\"ahler geometry on compact Lie groups

@article{Hu2015OnGK, title={On generalized K\"ahler geometry on compact Lie groups}, author={Shengda Hu}, journal={arXiv: Differential Geometry}, year={2015} }

We present some fundamental facts about a class of generalized K\"ahler structures defined by invariant complex structures on compact Lie groups. The main computational tool is the BH-to-GK spectral sequences that relate the bi-Hermitian data to generalized geometry data. The relationship between generalized Hodge decomposition and generalized canonical bundles for generalized K\"ahler manifolds is also clarified.

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