Spaces of commuting elements in Lie groups
Event details
| Date | 31.07.2014 |
| Hour | 14:15 › 15:30 |
| Speaker | Mentor Stafa (Tulane University) |
| Location |
MA 30
|
| Category | Conferences - Seminars |
We study the spaces of ordered pairwise commuting n-tuples in a compact and connected Lie group G, denoted Hom(Zk,G). We introduce an infinite dimensional topological space denoted Comm(G), reminiscent of a Stiefel variety, that assembles the spaces Hom(Zk,G) into a single space. This construction admits stable decompositions which allow the study of the spaces Hom(Zk,G) individually, and the Hilbert-Poincare series is also calculated using Molien's theorem. The cohomology of Comm(G) is given in terms of the tensor algebra generated by the reduced homology of the maximal torus. This is joint work with Fred Cohen.
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Contact
- Kathryn Hess Bellwald