Suppose sigma be a simple involution of a semisimple algebraic group G, and suppose H is the subgroup of G of points fixed by sigma. If the restricted root system is of type A, C, or BC and G is simply connected, or if the restricted root system is of type B and G is of adjoint type, then we describe a standard monomial theory and the equations for the coordinate ring k[G/H] using the standard monomial theory and the Plucker relations of an appropriate (maybe infinite-dimensional) Grassmann variety.

Equations Defining Symmetric Varieties and Affine Grassmannians

MAFFEI, ANDREA
2009-01-01

Abstract

Suppose sigma be a simple involution of a semisimple algebraic group G, and suppose H is the subgroup of G of points fixed by sigma. If the restricted root system is of type A, C, or BC and G is simply connected, or if the restricted root system is of type B and G is of adjoint type, then we describe a standard monomial theory and the equations for the coordinate ring k[G/H] using the standard monomial theory and the Plucker relations of an appropriate (maybe infinite-dimensional) Grassmann variety.
2009
Chirivi, R; Littelmann, P; Maffei, Andrea
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/132540
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