## Pseudokähler forms on complex Lie groups

### Summary

Summary: Let $G$ be a semisimple complex group with real form $G_{\Bbb R}$. We define and study a pseudokähler form that is defined on a neighbhorhood of the identity in $G$ and is invariant under left and right translation by $G_{\Bbb R}$.

### Mathematics Subject Classification

32M05, 22E10, 53C56, 53D20

### Keywords/Phrases

pseudokaehler, symplectic, moment map, Lie group, cotangent bundle