Journal of Lie Theory Vol. 13, No. 1, pp. 189191 (2003) 

The linear cycle space for groups of hermitian typeJ. A. Wolf and R. ZierauJoseph A. WolfDepartment of Mathematics University of California Berkeley, CA 947203840, USA jawolf@math.berkeley.edu and Roger Zierau Mathematics Department Oklahoma State University Stillwater, OK 7407, USA zierau@math.okstate.edu Abstract: Let $G_0$ be a simple Lie group of hermitian type and let $B$ denote the corresponding hermitian symmetric space. The linear cycle space for any nonholomorphic type flag domain of $G_0$ is biholomorphic to $B \times \overline{B}$. When $G_0$ is a classical group this was proved by the authors in a paper published several years ago. Here we show that the result follows for arbitrary groups of hermitian type. This is done without case by case arguments by combining results from that paper with recent results of A. T. Huckleberry and the first author. Full text of the article:
Electronic fulltext finalized on: 22 Nov 2002. This page was last modified: 3 Jan 2003.
© 2002 Heldermann Verlag
