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Cohomology in algebra, geometry, physicsand statistics
On split-octonions
Speaker’s name:
Jiri Vanzura
Speaker’s affiliation:
IM CAS
Place:
in Konirna seminar room, front IM building, ground floor
Date:
Wednesday, 20. November 2019 - 11:30 to 12:30
Abstract:
We shall study first split-quaternions and then split-octonions. For technical reasons split-quaternions will be constructed by applying the Cayley-Dickson construction to complex numbers and split-octonions by applying this construction to quaternions. Our attention will be devoted to special elements and their properties in these two algebras. We shall classify all subalgebras in split-quaternions and split-octonions and further describe the types of isotropic subspaces in them.