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@article{692308,
author = {Čadek, Martin and Crabb, Michael},
article_location = {Cambridge},
article_number = {3},
keywords = {Principal bundle; reduction of the structure group; representations of classical Lie groups; K-theory; Weyl Dimension Formula; unstable Adams map},
language = {eng},
issn = {0024-6115},
journal = {Proceedings of the London mathematical society},
title = {G-structures on spheres},
url = {http://front.math.ucdavis.edu/math.KT/0510149},
volume = {93 (2006)},
year = {2006}
}
TY - JOUR
ID - 692308
AU - Čadek, Martin - Crabb, Michael
PY - 2006
TI - G-structures on spheres
JF - Proceedings of the London mathematical society
VL - 93 (2006)
IS - 3
SP - 791-816
EP - 791-816
PB - Cambridge University Press
SN - 00246115
KW - Principal bundle
KW - reduction of the structure group
KW - representations of classical Lie groups
KW - K-theory
KW - Weyl Dimension Formula
KW - unstable Adams map
UR - http://front.math.ucdavis.edu/math.KT/0510149
N2 - 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.
ER -
ČADEK, Martin and Michael CRABB. G-structures on spheres. \textit{Proceedings of the London mathematical society}. Cambridge: Cambridge University Press, 2006, 93 (2006), No~3, p.~791-816. ISSN~0024-6115.
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