Publication details

G-structures on spheres


ČADEK Martin CRABB Michael

Year of publication 2006
Type Article in Periodical
Magazine / Source Proceedings of the London mathematical society
MU Faculty or unit

Faculty of Science

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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