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.
M. Mimura and myself
Abstract.
We determine the L-S category of Sp(3) by showing that the 5-fold reduced diagonal is given by ν2, using a Toda bracket and a generalised cohomology theory h* given by h*(X,A) = {X/A,S[0,2]}, where S[0,2] is the 3-stage Postnikov piece of the sphere spectrum S.
This method also yields a general result that cat(Sp(n)) ≥ n+2 for n ≥ 3, which improves the result of Singhof.
- L-S categories of simply-connected compact simple Lie groups of low rank (adobe-pdf file, 204805 bytes)