Mathematical Research Letters
Volume 10 (2003)
Complex homogeneous spaces of pseudo-restricted groups
Pages: 459 – 467
One constructs invariant Kähler structures on homogeneous spaces of certain classes of infinite-dimensional Lie groups. The main new classes of examples which fall under these general constructions are homogeneous spaces of certain Banach-Lie groups described by means of admissible pairs of ideals of compact operators on Hilbert spaces.