The Role of Spin(9) in Octonionic Geometry

The Role of Spin(9) in Octonionic Geometry

Starting from the 2001 Thomas Friedrich’s work on Spin ( 9 ) , we review some interactions between Spin ( 9 ) and geometries related to octonions. Several topics are discussed in this respect: explicit descriptions of the Spin ( 9 ) canonical 8-form and its analogies with quat...

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Bibliographic Details
Main Authors: Maurizio Parton, Paolo Piccinni
Format: Article
Language:English
Published: MDPI AG 2018-10-01
Series:Axioms
Subjects:
Spin(9)
octonions
vector fields on spheres
Hopf fibration
locally conformally parallel
Clifford structure
Clifford system
symmetric spaces
Online Access:http://www.mdpi.com/2075-1680/7/4/72

Internet

http://www.mdpi.com/2075-1680/7/4/72

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