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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