This is a survey on the construction of a canonical or "octonionic Kaehler" 8-form, representing one of the generators of the cohomology of the four Cayley-Rosenfeld projective planes. The construction, in terms of the associated even Clifford structures, draws a parallel with that of the quaternion Kaehler 4-form. We point out how these notions allow to describe the primitive Betti numbers with respect to different even Clifford structures, on most of the exceptional symmetric spaces of compact type.
On the cohomology of some exceptional symmetric spaces / Piccinni, Paolo. - STAMPA. - 23(2017), pp. 291-305. [10.1007/978-3-319-67519-0].
On the cohomology of some exceptional symmetric spaces
PICCINNI, Paolo
2017
Abstract
This is a survey on the construction of a canonical or "octonionic Kaehler" 8-form, representing one of the generators of the cohomology of the four Cayley-Rosenfeld projective planes. The construction, in terms of the associated even Clifford structures, draws a parallel with that of the quaternion Kaehler 4-form. We point out how these notions allow to describe the primitive Betti numbers with respect to different even Clifford structures, on most of the exceptional symmetric spaces of compact type.File | Dimensione | Formato | |
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