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arXiv · 2004.02523

Non-invariant deformations of left-invariant complex structures on compact Lie groups

Hiroaki Ishida·Hisashi Kasuya
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Abstract

We consider deformations of left-invariant complex structures on simply connected semisimple compact Lie groups which are a priori non-invariant. Computing their cohomologies, we show that they are not actually biholomorphic to left-invariant (right-invariant) complex structures.

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Hiroaki Ishida, Hisashi Kasuya. 2020-04-06. Non-invariant deformations of left-invariant complex structures on compact Lie groups. https://arxiv.org/abs/2004.02523

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