The special orthogonal groups \(\text{SO}(2n)\) as framed boundaries (Q2769878)
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scientific article; zbMATH DE number 1702081
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The special orthogonal groups \(\text{SO}(2n)\) as framed boundaries |
scientific article; zbMATH DE number 1702081 |
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28 April 2002
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homotopy
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special orthogonal groups
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The special orthogonal groups \(\text{SO}(2n)\) as framed boundaries (English)
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The authors' main result is that \([\text{SO}(2n),L] = 0\) for \(n>1,\) where \(L\) is a left invariant framing for \(\text{SO}(2n).\) Since they also show that \(2[\text{Spin}(2n),L] =0\) for \(n>0,\) it follows that \([\text{SO}(2n),L] = 2[\text{Spin}(2n),L]\) for \(n>0.\) They also consider the same problem for some of the projective groups of classical groups.
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