On the 3-component of \(SU(n)\) as a framed manifold (Q2731418)
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scientific article; zbMATH DE number 1625991
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the 3-component of \(SU(n)\) as a framed manifold |
scientific article; zbMATH DE number 1625991 |
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27 May 2002
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framed bordism group
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stable homotopy of spheres
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0.8820359
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0.8801193
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0.8693631
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0.8655268
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0.86500376
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0.8637011
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0.86261857
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On the 3-component of \(SU(n)\) as a framed manifold (English)
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For \(G\) a compact connected Lie group, the left invariant framing \(L\) of \(G\) defines a class \([G,L]\) in the \(d\)-dimensional framed bordism group or \(d\)-dimensional stable homotopy of spheres, where \(d= \dim G\). \textit{E. Ossa} proved in [Topology 21, 315-323 (1982; Zbl 0491.55008)] that 72 \([G,L]=0\). This paper improves the result by showing that \(8[SU(n),L] =0\) for \(n\geq 3\).
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