Quasi-$p$-regularity of symmetric spaces.

Mimura, Mamoru

doi:10.1307/mmj/1029000590

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Limitations and Extensions Of The Methods1

Types CI Diii1

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2015

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Cited by 4 publications

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“…It is reasonable to ask whether they actually come from decompositions of symmetric spaces themselves. Kumpel [27] and Mimura [30] showed that if the homotopy fibration H −→ G −→ G/H is totally non-cohomologous to zero then the symmetric space will decompose, delooping our results. This holds for S U(2n + 1)/SO(2n + 1), SU(2n)/Sp(n), Spin(2n)/Spin(2n − 1) and E 6 /F 4 .…”

Section: Limitations and Extensions Of The Methodsmentioning

confidence: 79%

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Modpdecompositions of the loop spaces of compact symmetric spaces

Kaji

Ohsita

Theriault

2015

Algebr. Geom. Topol.

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Section: Limitations and Extensions Of The Methodsmentioning

confidence: 79%

“…Remark 5.6. Mimura [30] showed that the homotopy decompositions for types AI and AII deloop. He also showed that these cases hold for p = 3 as well, and the AII case can be strengthened to hold for p ≥ n.…”

Section: Types CI Diiimentioning

confidence: 99%