| Title | A finite loop space not rationally equivalent to a compact Lie group |
| Authors | Kasper Andersen, Tilman Bauer, Jesper Grodal, Erik Kjær Pedersen |
| Alternative Location | http://dx.doi.org/10.1007/s..., Restricted Access |
| Publication | Inventiones Mathematicae |
| Year | 2004 |
| Volume | 157 |
| Issue | 1 |
| Pages | 1 - 10 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Springer |
| Abstract English | We construct a connected finite loop space of rank 66 and dimension 1254 whose rational cohomology is not isomorphic as a graded vector space to the rational cohomology of any compact Lie group, hence providing a counterexample to a classical conjecture. Aided by machine calculation we verify that our counterexample is minimal, i.e., that any finite loop space of rank less than 66 is in fact rationally equivalent to a compact Lie group, extending the classical known bound of 5. |
| ISBN/ISSN/Other | ISSN: 1432-1297 (online) |
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