Mod 2 cohomology of 2-compact groups of low rank

Research output: Contribution to journalArticle

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Abstract

We determine the mod 2 cohomology algebra over the Steenrod algebra A 2 of the classifying space of loop groups LG where G = Spin(7), Spin(8), Spin(9), F4 and DI(4). Then we show they are isomorphic as algebras over A2 to the mod 2 cohomology of the 2-compact groups of type G.

Original languageEnglish
Pages (from-to)441-450
Number of pages10
JournalKyoto Journal of Mathematics
Volume47
Issue number2
DOIs
Publication statusPublished - Jan 1 2007
Externally publishedYes

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Compact Group
Cohomology
Steenrod Algebra
Loop Groups
Algebra
Classifying Space
Isomorphic

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Mod 2 cohomology of 2-compact groups of low rank. / Kaji, Shizuo.

In: Kyoto Journal of Mathematics, Vol. 47, No. 2, 01.01.2007, p. 441-450.

Research output: Contribution to journalArticle

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