On the Action of the Restricted Weyl Group on the Set of Orbits a Minimal Parabolic Subgroup

Doklady Mathematics - We construct the action of the restricted Weyl group on the set of principal families of orbits of a minimal parabolic subgroup over an algebraically nonclosed field....     

Symplectic varieties with invariant Lagrangian subvarieties

Doklady Mathematics -     

On the Existence of B -Root Subgroups on Affine Spherical Varieties

Doklady Mathematics - Let X be an irreducible affine algebraic variety that is spherical with respect to an action of a connected reductive group G. In this paper, we provide sufficient conditions,...     

Continued rational fractions in hyperelliptic fields and the Mumford representation

Doklady Mathematics - A relationship between the continued fraction expansion of the quadratic irrationalities of hyperelliptic fields and the Mumford polynomials determining addition in the group...