The Geometry of Generalised Spinʳ Spinors on Projective Spaces

In this paper, we adapt the characterisation of the spin representation via exterior forms to the generalised spinʳ context. We find new invariant spinʳ spinors on the projective spaces ℂℙⁿ, ℍℙⁿ, and the Cayley plane ℙ² for all their homogeneous realisations. Specifically, for each of these realisat...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2025
Main Authors: Artacho, Diego, Hofmann, Jordan
Format: Article
Language:English
Published: Інститут математики НАН України 2025
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212874
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Geometry of Generalised Spinʳ Spinors on Projective Spaces. Diego Artacho and Jordan Hofmann. SIGMA 21 (2025), 017, 32 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine