G-structures on spheres
| Authors | |
|---|---|
| Year of publication | 2006 |
| Type | Article in Periodical |
| Magazine / Source | Proceedings of the London mathematical society |
| MU Faculty or unit | |
| Citation | |
| Web | http://front.math.ucdavis.edu/math.KT/0510149 |
| Field | General mathematics |
| Keywords | Principal bundle; reduction of the structure group; representations of classical Lie groups; K-theory; Weyl Dimension Formula; unstable Adams map |
| Description | A generalization of classical theorems on the existence of sections of real, complex and quaternionic Stiefel manifolds over spheres is proved. We obtain a complete list of Lie group homomorhisms which reduce the structure group G_n=SO(n), SU(n), Sp(n) in the principal fibre bundle over G_{n+1}/G_n. |
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