On the cohomology of some exceptional symmetric spaces
| Autor: | Paolo Piccinni |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
primitive cohomology
Pure mathematics Betti number Even Clifford structure exceptional symmetric space canonical differential form 010102 general mathematics 0211 other engineering and technologies 021107 urban & regional planning 02 engineering and technology Type (model theory) 01 natural sciences Cohomology Algebra Point (geometry) Projective plane 0101 mathematics Quaternion Mathematics |
| Zdroj: | Springer INdAM Series ISBN: 9783319675183 |
| Popis: | This is a survey on the construction of a canonical or “octonionic Kahler” 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 Kahler 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. |
| Databáze: | OpenAIRE |
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