Article ID Journal Published Year Pages File Type
4669079 Bulletin des Sciences Mathématiques 2009 5 Pages PDF
Abstract

Let KC be the complexification of a compact connected Lie group K. Fixing a K-invariant inner product on Lie(K), the total space of T∗K is identified with KC. We show that the Liouville symplectic form on T∗K is Kähler with respect to the complex structure of KC.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)