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Equations defining symmetric varieties and affine Grassmannians
Let be a simple involution of an algebraic semisimple group and
let be the subgroup of of points fixed by . If the restricted
root system is of type , or and is simply connected or if the
restricted root system is of type and is adjoint, then we describe a
standard monomial theory and the equations for the coordinate ring
using the standard monomial theory and the Pl\"ucker relations of an
appropriate (maybe infinite dimensional) Grassmann variety.Comment: 48 page