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

Published 6 Apr 2020 in math.DG, math.CV, and math.RT | (2004.02523v2)

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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