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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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