Adelic and Rational Grassmannians for finite dimensional algebras

Emil Horozov, Milen Yakimov

We develop a theory of Wilson's adelic Grassmannian ${\mathrm{Gr}}^{\mathrm{ad}}(R)$ and Segal-Wilson's rational Grasssmannian ${\mathrm{Gr}}^{\mathrm{rat}}(R)$ associated to an a…