  We provide an explicit description of symplectic leaves of a simply connected
connected semisimple complex Lie group equipped with the standard Poisson-Lie
structure. This sharpens previously known descriptions of the symplectic leaves
as connected components of certain varieties. Our main tool is the machinery of
twisted generalized minors. They also allow us to present several
quasi-commuting coordinate systems on every symplectic leaf. As a consequence,
we construct new completely integrable systems on some special symplectic
leaves.
