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arxiv: 1805.01751 · v1 · pith:YNWT3RO2new · submitted 2018-05-04 · 🧮 math.DG

On some Grassmannians carrying an even Clifford structure

classification 🧮 math.DG
keywords somecliffordevengrassmannianscarryingcomplexdescriptiondimensional
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We give an explicit description of the non-flat parallel even Clifford structures of rank 8, 6, 5 on some real, complex and quaternionic Grassmannians, and discuss the r\^ole of the octonions in them, in particular for some low dimensional examples.

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