Pseudokähler Forms on Complex Lie Groups

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 $G_{\Bbb R}$.

2000 Mathematics Subject Classification: Primary: 32M05. Secondary: 22E10, 53C56, 53D20.

Keywords and Phrases: pseudokaehler, symplectic, moment map, Lie group, cotangent bundle

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