Abstract
We study differential splitting fields of quaternion algebras with derivations. A quaternion algebra over a field k is always split by a quadratic extension of k. However, a differential quaternion algebra need not be split over any algebraic extension of k. We use solutions of certain Riccati equations to provide bounds on the transcendence degree of splitting fields of a differential quaternion algebra.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have