Abstract
The etale Tits process, which was called the toral Tits process by Petersson-Racine [12], may be viewed as a Jordan-theoretical method to construct associative algebras with involution. More specifically, starting from a cubic etale algebra E and a quadratic etale algebra L, both over an arbitrary base field, as well as from invertible elements u ∈ E, b ∈ L having the same norms, the etale Tits process produces an absolutely simple Jordan algebra J = J(E, L, u, b) of degree 3 and dimension 9, which, by structure theory, must be the symmetric elements of a central simple associative algebra of degree 3 with involution of the second kind. In addition, E identifies canonically with a subalgebra of J .
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
