Subject: Re: A question and an answer Date: Fri, 6 Apr 2001 14:09:29 -0400 From: "Serge Ochanine" To: "Don Davis" For the case when H has maximal rank, the answer is in Hirzebruch, F. and Slodowy P., Elliptic Genera and Homogeneous Spaces, Geom. Dedicata, 35 (1990), page 327. Serge Ochanine > > Subject: question > Date: Fri, 06 Apr 2001 11:35:57 -0400 > From: Howard Fegan > > Let G be a semi-simple, simply connected, compact Lie group, and H a > closed subgroup. What are the conditions on G and H so that G/H is a > spin manifold? > Thank you, Howard