Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

In other words, how to compute $H_{*}(U(n)/O(n))$ as well as $H_{*}(Sp(n)/U(n))$ ?

share|cite|improve this question
    
Perhaps the Eilenberg-Moore spectral sequence could be of use... realize the Lagrangian Grassmanian as the fiber of a certain map of classifying spaces that you're intimately familiar with. – Dylan Wilson Oct 31 '12 at 3:57

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.