REPRESENTATION THEORY IN HOMOTOPY AND THE EHP SEQUENCES FOR (p− 1)-CELL COMPLEXES
نویسنده
چکیده
For spaces localized at 2, the classical EHP fibrations [1, 13] ΩS S ΩS ΩS play a crucial role for the computations of the homotopy groups of the spheres [16, 25]. The EHP-fibrations for (p− 1)-cell complexes for p > 2 are given in this article. These fibrations can be regarded as the odd prime analogue of the classical EHP-fibrations by considering the spheres as 1-cell complexes for p = 2. Some fundamental results on the theory of natural coalgebra decompositions of tensor algebras are established in this article. As a consequence of the study on the representation theory in homotopy, the new EHP-fibrations are obtained from the evaluations of the functor Amin on (p − 1)-cell complexes. An application to H-spaces is also given.
منابع مشابه
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