岩 瀬 則 夫 （いわせ のりお）
郵便宛て先：〒８１９-０３９５ 福岡市 西区 元岡７４４ 九州大学 数理学研究院
電子メール：iwase_AT_math.kyushu-u.ac.jp
Authors.
myself
Journal.
Publ. R.I.M.S. kyoto U. 23(1987), 445-453.
Abstract.
A homomorphism from a product group of simple Lie groups to a simple Lie group cannot be a "crossed" homomorphism, unless the dimension of the source group is less than the one of the target group. This fact is closely related to the fact that the multiplication of a simple Lie group is not abelian and the classifying space is not an H-space. In this paper we show that the same statement replacing a Lie group and a homomorphism with a classifying space and a continuous mapping is valid in the case where the target space is a classifying space of a Lie group of rank one. To show this, we give another representation of a theorem of Miller [5].
- On the splitting of mapping spaces between classifying spaces I (adobe-pdf file, bytes)