The homology and Morava \(K\)-theory of the double loop space of \(SU(2n)/Sp(n)\) (Q1892174)

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scientific article; zbMATH DE number 762122
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The homology and Morava \(K\)-theory of the double loop space of \(SU(2n)/Sp(n)\)
scientific article; zbMATH DE number 762122

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    The homology and Morava \(K\)-theory of the double loop space of \(SU(2n)/Sp(n)\) (English)
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    5 July 1995
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    Importing results and technology from [\textit{D. C. Ravenel}, Forum Math. 5, 1-21 (1993; Zbl 0770.55009)] the author computes \(H_* (\Omega^2 SU (2n)/ Sp(n); \mathbb{Z}/ 2\mathbb{Z})\) and up to extension (Theorem 3.1) also \(K_* (m) (\Omega^2 SU(2n)/ Sp(n))\). To get to the conclusion spectral sequences of various building types are used and insight into their concrete behaviour is needed.
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    homology
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    Morava \(K\)-theory
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