Abstract
The Clifford algebra of R3 is a real 8-dimensional vector space. This vector space splits conveniently into two 4-dimensional subspaces: one consisting of the even dimensional elements, the quaternions H, and one consisting of the odd dimensional elements, the duals HO of the quaternions. Let
Cl (R3) = the Clifford algebra of R3
Cl(R3)even = the even dimensional elements of Cl (R3) ≅ H
Cl(R3)odd = the odd dimensional element of Cl(R3) ≅ HO.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Goldman, R. (2010). operands and operators—Mass-Points and Quaternions. In: Rethinking Quaternions. Synthesis Lectures on Computer Graphics and Animation. Springer, Cham. https://doi.org/10.1007/978-3-031-79549-7_15
Download citation
DOI: https://doi.org/10.1007/978-3-031-79549-7_15
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-79548-0
Online ISBN: 978-3-031-79549-7
eBook Packages: Synthesis Collection of Technology (R0)eBColl Synthesis Collection 3