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SL(2) over the octonions

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 نشر من قبل Nigel Hitchin
 تاريخ النشر 2018
  مجال البحث
والبحث باللغة English
 تأليف Nigel Hitchin




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We interpret an open orbit in a 32-dimensional representation space of Spin(9,1) x SL(2,R) as a substitute for the non-existent group of invertible 2x2 matrices over the octonions and study various natural homogeneous subspaces. The approach is via twistor geometry in eight dimensions.



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